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Sensors & Transducers
International Official Journal of the International
Frequency Sensor Association (IFSA) Devoted to
Research and Development of Sensors and Transducers
Volume 192, Issue 9, September 2015
Editor-in-Chief
Prof., Dr. Sergey Y. YURISH
IFSA Publishing: Barcelona  Toronto
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Printed in the USA.
Sensors & Transducers
Volume 192, Issue 9,
September 2015
www.sensorsportal.com
e-ISSN 1726-5479
ISSN 2306-8515
Editors-in-Chief: Professor, Dr. Sergey Y. Yurish, tel.: +34 93 4137941, e-mail: [email protected]
Editors for Western Europe
Editors South America
Meijer, Gerard C.M., Delft Univ. of Technology, The Netherlands
Ferrari, Vittorio, Universitá di Brescia, Italy
Mescheder, Ulrich, Univ. of Applied Sciences, Furtwangen, Germany
Costa-Felix, Rodrigo, Inmetro, Brazil
Walsoe de Reca, Noemi Elisabeth, CINSO-CITEDEF
UNIDEF (MINDEF-CONICET), Argentina
Editor for Eastern Europe
Editors for Asia
Sachenko, Anatoly, Ternopil National Economic University, Ukraine
Editors for North America
Katz, Evgeny, Clarkson University, USA
Datskos, Panos G., Oak Ridge National Laboratory, USA
Fabien, J. Josse, Marquette University, USA
Ohyama, Shinji, Tokyo Institute of Technology, Japan
Zhengbing, Hu, Huazhong Univ. of Science and Technol., China
Li, Gongfa, Wuhan Univ. of Science and Technology, China
Editor for Asia-Pacific
Mukhopadhyay, Subhas, Massey University, New Zealand
Editor for Africa
Maki K., Habib, American University in Cairo, Egypt
Editorial Board
Abdul Rahim, Ruzairi, Universiti Teknologi, Malaysia
Abramchuk, George, Measur. Tech. & Advanced Applications, Canada
Aluri, Geetha S., Globalfoundries, USA
Ascoli, Giorgio, George Mason University, USA
Atalay, Selcuk, Inonu University, Turkey
Atghiaee, Ahmad, University of Tehran, Iran
Augutis, Vygantas, Kaunas University of Technology, Lithuania
Ayesh, Aladdin, De Montfort University, UK
Baliga, Shankar, B., General Monitors, USA
Barlingay, Ravindra, Larsen & Toubro - Technology Services, India
Basu, Sukumar, Jadavpur University, India
Booranawong, Apidet, Prince of Songkla University, Thailand
Bousbia-Salah, Mounir, University of Annaba, Algeria
Bouvet, Marcel, University of Burgundy, France
Campanella, Luigi, University La Sapienza, Italy
Carvalho, Vitor, Minho University, Portugal
Changhai, Ru, Harbin Engineering University, China
Chen, Wei, Hefei University of Technology, China
Cheng-Ta, Chiang, National Chia-Yi University, Taiwan
Cherstvy, Andrey, University of Potsdam, Germany
Chung, Wen-Yaw, Chung Yuan Christian University, Taiwan
Cortes, Camilo A., Universidad Nacional de Colombia, Colombia
D'Amico, Arnaldo, Università di Tor Vergata, Italy
De Stefano, Luca, Institute for Microelectronics and Microsystem, Italy
Ding, Jianning, Changzhou University, China
Djordjevich, Alexandar, City University of Hong Kong, Hong Kong
Donato, Nicola, University of Messina, Italy
Dong, Feng, Tianjin University, China
Erkmen, Aydan M., Middle East Technical University, Turkey
Fezari, Mohamed, Badji Mokhtar Annaba University, Algeria
Gaura, Elena, Coventry University, UK
Gole, James, Georgia Institute of Technology, USA
Gong, Hao, National University of Singapore, Singapore
Gonzalez de la Rosa, Juan Jose, University of Cadiz, Spain
Goswami, Amarjyoti, Kaziranga University, India
Guillet, Bruno, University of Caen, France
Hadjiloucas, Sillas, The University of Reading, UK
Hao, Shiying, Michigan State University, USA
Hui, David, University of New Orleans, USA
Jaffrezic-Renault, Nicole, Claude Bernard University Lyon 1, France
Jamil, Mohammad, Qatar University, Qatar
Kaniusas, Eugenijus, Vienna University of Technology, Austria
Kim, Min Young, Kyungpook National University, Korea
Kumar, Arun, University of Delaware, USA
Lay-Ekuakille, Aime, University of Lecce, Italy
Li, Fengyuan, HARMAN International, USA
Li, Jingsong, Anhui University, China
Li, Si, GE Global Research Center, USA
Lin, Paul, Cleveland State University, USA
Liu, Aihua, Chinese Academy of Sciences, China
Liu, Chenglian, Long Yan University, China
Liu, Fei, City College of New York, USA
Mahadi, Muhammad, University Tun Hussein Onn Malaysia, Malaysia
Mansor, Muhammad Naufal, University Malaysia Perlis, Malaysia
Marquez, Alfredo, Centro de Investigacion en Materiales Avanzados, Mexico
Mishra, Vivekanand, National Institute of Technology, India
Moghavvemi, Mahmoud, University of Malaya, Malaysia
Morello, Rosario, University "Mediterranea" of Reggio Calabria, Italy
Mulla, Imtiaz Sirajuddin, National Chemical Laboratory, Pune, India
Nabok, Aleksey, Sheffield Hallam University, UK
Neshkova, Milka, Bulgarian Academy of Sciences, Bulgaria
Passaro, Vittorio M. N., Politecnico di Bari, Italy
Patil, Devidas Ramrao, R. L. College, Parola, India
Penza, Michele, ENEA, Italy
Pereira, Jose Miguel, Instituto Politecnico de Setebal, Portugal
Pillarisetti, Anand, Sensata Technologies Inc, USA
Pogacnik, Lea, University of Ljubljana, Slovenia
Pullini, Daniele, Centro Ricerche FIAT, Italy
Qiu, Liang, Avago Technologies, USA
Reig, Candid, University of Valencia, Spain
Restivo, Maria Teresa, University of Porto, Portugal
Rodríguez Martínez, Angel, Universidad Politécnica de Cataluña, Spain
Sadana, Ajit, University of Mississippi, USA
Sadeghian Marnani, Hamed, TU Delft, The Netherlands
Sapozhnikova, Ksenia, D. I. Mendeleyev Institute for Metrology, Russia
Singhal, Subodh Kumar, National Physical Laboratory, India
Shah, Kriyang, La Trobe University, Australia
Shi, Wendian, California Institute of Technology, USA
Shmaliy, Yuriy, Guanajuato University, Mexico
Song, Xu, An Yang Normal University, China
Srivastava, Arvind K., Systron Donner Inertial, USA
Stefanescu, Dan Mihai, Romanian Measurement Society, Romania
Sumriddetchkajorn, Sarun, Nat. Electr. & Comp. Tech. Center, Thailand
Sun, Zhiqiang, Central South University, China
Sysoev, Victor, Saratov State Technical University, Russia
Thirunavukkarasu, I., Manipal University Karnataka, India
Thomas, Sadiq, Heriot Watt University, Edinburgh, UK
Tian, Lei, Xidian University, China
Tianxing, Chu, Research Center for Surveying & Mapping, Beijing, China
Vanga, Kumar L., ePack, Inc., USA
Vazquez, Carmen, Universidad Carlos III Madrid, Spain
Wang, Jiangping, Xian Shiyou University, China
Wang, Peng, Qualcomm Technologies, USA
Wang, Zongbo, University of Kansas, USA
Xu, Han, Measurement Specialties, Inc., USA
Xu, Weihe, Brookhaven National Lab, USA
Xue, Ning, Agiltron, Inc., USA
Yang, Dongfang, National Research Council, Canada
Yang, Shuang-Hua, Loughborough University, UK
Yaping Dan, Harvard University, USA
Yue, Xiao-Guang, Shanxi University of Chinese Traditional Medicine, China
Xiao-Guang, Yue, Wuhan University of Technology, China
Zakaria, Zulkarnay, University Malaysia Perlis, Malaysia
Zhang, Weiping, Shanghai Jiao Tong University, China
Zhang, Wenming, Shanghai Jiao Tong University, China
Zhang, Yudong, Nanjing Normal University China
Sensors & Transducers Journal is a peer review international journal published monthly by International Frequency Sensor Association (IFSA).
Available in both: print and electronic (printable pdf) formats. Copyright © 2015 by IFSA Publishing, S. L. All rights reserved.
Sensors & Transducers Journal
Contents
Volume 192
Issue 9
September 2015
www.sensorsportal.com
ISSN 2306-8515
e-ISSN 1726-5479
Research Articles
Duty-Cycle and Duty-off Factor Measurements Based on Universal Sensors
and Transducers Interface (USTI-MOB) IC
Sergey Y. Yurish and Javier Cañete
1
Security in Visible Light Communication: Novel Challenges and Opportunities
Christian Rohner, Shahid Raza, Daniele Puccinelli, and Thiemo Voigt ............................
9
Green Walls Utilizing Internet of Things
Andrejs Bondarevs, Patrik Huss, Shaofang Gong, Ola Weister and Roger Liljedahl ........
16
Metrological Array of Cyber-Physical Systems. Part 11. Remote Error
Correction of Measuring Channel
Yuriy Yatsuk, Mykola Mykyjchuk, Volodymyr Zdeb, and Roman Yanovych ......................
22
Metrological Array of Cyber-Physical Systems. Part 12. Study of Quantum Unit
of Temperature
Svyatoslav Yatsyshyn, Bohdan Stadnyk ............................................................................
30
Experimental and Modelling Study of a Piezoelectric Energy Harvester
Unimorph Cantilever Arrays
Almuatasim Alomari and Ashok Batra ...............................................................................
37
Determination of Multiple Spring Constants, Gaps and Pull Down Voltages
in MEMS CRAB Type Microaccelerometer Using Near Pull Down Capacitance
Voltage Measurements
R. K. Bhan, Shaveta, Abha Panchal, Yashoda Parmar, Chandan Sharma, Ramjai
Pal, Shankar Dutta .............................................................................................................
44
Mössbauer, VSM and X-ray Diffraction Study of Fe3O4 (NP’s)/PVOH
for Biosensors Applications
Almuatasim Alomari, Hasan M. El Ghanem, Abdel-Fatah Lehlooh, Isam M. Arafa,
Ibrahim Bsoul, Ashok Batra................................................................................................
53
Larger Selectivity of the V2O5 Nano-particles Sensitivityto NO2 than NH3
Amos Adeleke Akande, Bonex Wakufwa Mwakikunga, Koena Erasmus Rammutla,
Augusto Machatine ............................................................................................................
61
Surface Morphology, Compositional, Optical and Electrical Properties
of TiO2 Thin Films
S. S. Roy, A. H. Bhuiyan ....................................................................................................
66
Non-destructive Testing of Wood Defects Based on Discriminant
Analysis Method
Wenshu LIN and Jinzhuo WU ............................................................................................
74
Research on Electronic Transformer Data Synchronization
Based on Interpolation Methods and Their Error Analysis
Pang Fubin, Yuan Yubo, Bo Qiangsheng and Ji Jianfei .................................................
81
Performance Characteristics of GaAs/Al0.32Ga0.68As Quantum-Well Lasers
Hadjaj Fatima, Belghachi Abderrahmane, and Helmaoui Abderrachid .............................
90
Multi-Model Adaptive Fuzzy Controller for a CSTR Process
Shubham Gogoria, Tanvir Parhar, Jaganatha Pandian B. ...............................................
96
Ten Top Torque Tips. (White Paper)
Bob Dobson, Tony Ingham ................................................................................................ 104
Authors are encouraged to submit article in MS Word (doc) and Acrobat (pdf) formats
by e-mail: [email protected]. Please visit journal’s webpage with preparation instructions:
http://www.sensorsportal.com/HTML/DIGEST/Submition.htm
International Frequency Sensor Association (IFSA).
3 rd IEEE International Workshop on
Metrology for Aerospace
Florence, Italy, June 22 - 23, 2016
ABOUT THE WORKSHOP
HONORARY CHAIR
Marina Ruggieri, Italy
GENERAL CHAIRS
Pasquale Daponte, Italy
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TECHNICAL PROGRAM CO-CHAIRS
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INTERNATIONAL PROGRAM COMMITTEE
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Murat Efe, Turkey
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Jesus Garcia, Spain
Domenico Giunta, Netherlands
Maria S. Greco, Italy
Richard Hochberg, US
Satoshi Ikezawa, Japan
Stephen Johnson, US
Karel Kudela, Slovak Rep.
Chin E. Lin, Taiwan
Walter Matta, Italy
Daniele Mortari, US
Aldo Napoli, France
Pavel Paces, Czech
Jacek Pieniazek, Poland
Vasily Popovich, Russia
Helena G. Ramos, Portugal
Artur L. Ribeiro, Portugal
Roberto Sabatini, Australia
Nicolas Sklavos, Greece
Patrizia Tavella, Italy
Fabrizio Francesco Vinaccia, Italy
Graham Wild, Australia
Ruqiang Yan, P.R. China
Ho-Soon Yang, Republic of Korea
Mark Yeary, University of Oklahoma, US
David Zucconi, Italy
LOCAL COMMITTEE
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LOCAL ARRANGEMENTS
MetroAeroSpace aims to gather people who work in developing instrumentation and
measurement methods for aerospace. Attention is paid, but not limited to, new technology for
metrology-assisted production in aerospace industry, aircraft component measurement, sensors
and associated signal conditioning for aerospace, and calibration methods for electronic test and
measurement for aerospace.
WORKSHOP TOPICS
The main topics include, but are not limited to:
•
•
•
•
•
•
•
Electronic instrumentation for aerospace
Automatic test equipment for aerospace
Sensors and sensor systems for aerospace applications
Wireless sensor networks in aerospace
Attitude - and heading - reference systems
Monitoring systems in aerospace
Metrology for navigation and precise positioning
PAPER SUBMISSION
Paper submission will be handled electronically, through the submission page set up on the
conference web page: www.metroaerospace.org
The best contributions will be awarded, including the Best Student Paper Award and the Best
Paper authored and presented by a woman.
Special sessions will be organized on specific topics, see online at:
www.metroaerospace.org/index.php/program/special-session
IMPORTANT DATES
January 22, 2016 – Submission of
Extended Abstract
April 15, 2016 – Notification of
Acceptance
May 22, 2016 – Submission of Final
Paper
With the endorsement of
FLORENCE
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appreciated by millions of tourists,
Florence has been UNESCO World
Heritage Site since 1982.
CONTACT US
www.metroaerospace.org
[email protected]
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 1-8
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Duty-Cycle and Duty-off Factor Measurements
Based on Universal Sensors and Transducers Interface
(USTI-MOB) IC
*
Sergey Y. YURISH and Javier CAÑETE
Excelera, S. L., Parc UPC-PMT, Edificio RDIT-K2M,
c/ Esteve Terradas, 1, 08860, Castelldefels, Barcelona, Spain
Tel.: +34 93 4137941
E-mail: [email protected], [email protected],
Received: 15 July 2015 /Accepted: 31 August 2015 /Published: 30 September 2015
Abstract: An experimental investigation of metrological characteristics of designed Universal Sensors and
Transducers Interface (USTI-MOB) integrated circuit working in duty-cycle and duty-off factor measuring
modes is described in the article. The USTI-MOB is based on the novel patented methods for duty-cycle – to –
digital conversion. Experiments have confirmed the high metrological performance at low power consumption
(0.35 mA current consumption at Vcc = 1.8 V). So, the relative error of duty-cycle – to – code conversion is
changed from ±0.08 to ±1.00 % in all specified measuring range of USTI-MOB. Metrological characteristics
and functionality make the USTI-MOB very suitable for various sensor systems designs, based on duty-cycle
output sensors. In this case the significant time-to-marked reduction and design simplification can be achieved.
Copyright © 2015 IFSA Publishing, S. L.
Keywords: Universal Sensors and Transducers Interface, USTI-MOB, Duty-cycle measurement, Duty-off
factor.
1. Introduction
The duty cycle (D.C.) is the ratio between the
pulse duration tp and the period Tx of a rectangular
waveform (Fig. 1):
D.C. =
tp
Tx
×100 %
(1)
The physical meaning of duty-cycle is the
percentage of one period in which a signal is active.
The value, reciprocal to the duty cycle is called 'dutyoff factor':
K off =
T
1
= x
D.C. t p
http://www.sensorsportal.com/HTML/DIGEST/P_2700.htm
(2)
Sometimes the duty-off factor is called 'period-topulse duration ratio' or 'relative pulse duration'.
Several sensors' and microcontrollers' manufacturers
mistakenly use the “duty-cycle output” term instead
of “pulse-width modulated (PWM) output”. In the
last one, the information parameter is a ratio between
pulse width tp and pulse space ts (tp/ts or ts/tp) but not
the ratio between period Tx and tp as for the dutycycle (1). The difference between duty-cycle and
PWM informative parameters are shown in Fig. 1.
The duty-cycle of pulse signal (D.C.) is widely
used as informative parameter of sensors' outputs and
in various measuring and DAQ systems. For
example, accelerometers from Analog Devices,
Kionix and MEMSIC; temperature sensors from
Smartec (The Netherlands), magnetic field Hall effect
sensor HAL810 from Micronas, Hall Effect
Differential Gear Tooth Sensors CYGTS101DC-S
1
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 1-8
from ChenYang-Technologies GmbH & Co. KG, and
others [1-6]. The duty cycle of the output signal in
such sensors is related to the measurand, the
measuring value can be easily computed by means of
measuring a duty cycle. In comparison with an
analog sensor output signal and even with frequency
sensor output signal, the duty-cycle is rather immune
to interfering signals, such as spikes [7], and the ratio
does not depend on the absolute value of any
component [8].
cycle and duty-off factor is described in Section II.
The obtained experimental results of measurements
are provided and discussed in Section III. The
Section IV describes two cases of study: an example
of temperature sensor system based on duty-cycle
output temperature sensors SMT16030, SMT172
(Smartec); and accelerometer sensor system. The
article is concluded in the last section.
2. Method for Duty-Cycle and Duty-off
Factor Measurements
tp
Tx
D.C.= tp/Tx
tp
ts
PWM: tp/ts or : ts/tp
Fig. 1. Difference between duty-cycle and PWM
informative parameters.
The D.C. as an informative parameter are also
used in different interfacing and readout circuits. So,
in the ASIC front-end interface for resistive-bridge
sensors based on a relaxation oscillator with
frequency and duty cycle output, the D.C. depends on
the overall bridge resistance and used as an
informative parameter related to the sensor
temperature [9].
A capacitive sensor readout circuit that converts
capacitance changes of a sensor element to changes
of the duty-cycle of a square-wave oscillator is
described in [10]. It has achieved a performance of
13-bit effective resolution with a 1-kHz bandwidth. A
low-voltage CMOS on-chip design of such readout
circuit may also create opportunities for a low-power
consumption of the readout circuit [10]. Due to its
simplicity and low number of components, the power
consumption of the circuit is expected to be
significantly smaller than in similar tradition analog
readout designs [10].
The designed by authors Universal Sensors and
Transducers Interface (USTI-MOB) IC for low
power consumption applications contains appropriate
measuring modes for duty-cycle, duty-off factor and
PWM parameters (pulse width and pulse space) [11].
The aim of this research was to determine the
metrological characteristics of designed USTI-MOB
at duty-cycle and duty-off factor measurements. The
article is organized as follow. In Section I the method
for duty-cycle and duty-off factor measurements are
described in short. The experimental set-up for duty-
2
Various methods exist to measure the duty-cycle
of pulse signal. For example, some simple duty-cycle
- to - digital can be based on the classical approach:
to measure the pulse width tp and period Tx of signal,
then calculate the ratio according to equation (1) and
(2). Main error’s components are quantization errors
at pulse width and period measurements. Both
components can be big enough. If a high accuracy is
needed, a very high clock frequency should be used.
For example, the approaches described in [12] and
[13] are based on the 33 MHz MCS-51 and 16 MHz
Microchip types of microcontrollers. Such high clock
frequencies are not suitable for applications with the
low power consumption, including mobile devices
(smart phones and tablets) and IoT.
Another approach to measure a duty-cycle is to
take random samples of a digital signal (randomsampling method) [14]. The method can be realized
very easy by a program-oriented way. But this
method is suitable only for low-resolution
conversions for which the necessary resolution is a
maximum of 9 bits.
The method of reading the time-domain sensor
signals is described in [15]. It can eliminate the part
of quantization error without increase of clock
frequency. The method uses the internal clock
frequency as 2N times of the signal frequency. So, it
means that the period Tx is not changed with the
sensor output signal. However, very often, the
frequency (period) of signal is changing. In this case
this method cannot be used.
The Vernier-type method for duty-cycle
measurement is described in [16]. The method using
two phase-locked loops (PLLs), developed to emulate
the Vernier caliper to measure the duty cycle. The
method lets to minimize the measuring error and
obtain a higher resolution without increasing the
clock frequency. But the main unit - the Vernier
Caliper Emulator (VCE), needs two different clock
frequencies. Such block has a relatively high power
consumption. In addition, the VCE must be calibrated
by a calibration signal with a known duty cycle and
frequency [16].
Sometime,
duty-cycle
output
sensors’
manufactures recommend to convert duty-cycle in
voltage, and then, voltage-to-digital by an ADC [17].
Such solution introduces addition component of error
due to these two-stage conversion. This error is much
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 1-8
bigger in comparison with the error, which can be
achieved at direct duty-cycle – to – digital
conversion.
The USTI-MOB is based on novel, patented
method for duty-cycle and duty-off factor
measurement. The method is based on the
determination of average pulse width and average
period during the conversion time Tq. The last one is
determined by the beforehand given quantization
error δ for period measurement and equals to the
integer number of periods NTx. During this time and
each of pulse widths, the pulses of the reference
frequency are counted. At the end of conversion time
the duty cycle is calculated according to the
following equation:
_
N_
D.C. =
Tx
N_
=
tp
__
(3)
Tx
x
and duty-off factor is calculated according to the
formula:
K off =
N_
Tx
N_
tp
_
=
Tx
__
t
(4)
M04
S
C
R
; Select phase shift measurement mode
; Start measurement
; Check result status: ‘r’ if ready or ‘b if busy
; Get result in BCD ASCII format
Fig. 2. Commands for RS232 communication modes
at duty-cycle measurements.
p
The duty-cycle (and duty-off factor) measurement
contains two main components of error: the error due
to period and error due to pulse width measurements.
The first one can be eliminated due to the described
above method for the duty-cycle measurement, which
is used in the USTI-MOB. The second component
(relative quantization error) can be calculated in the
worst case (one period Tx) according to the following
equation:
δq =
The supply voltage of the evaluation board was
+14 V dc, provided by the Promax FA-851 power
supply. The duty-cycle and duty-off factor of signals
generated by the waveform generator were measured
by both: the USTI-MOB and Universal Frequency
Counter/Timer Agilent 53220A with the ultra high
oven stability internal time base. The digital
oscilloscope Promax OD-591 monitored the signal's
waveforms.
Before
measurements,
the
USTI-MOB was calibrated in the working
temperature range: +24.4 oC at 45-47 % RH. The
measurands were sent to a PC via an RS232 interface
implemented with the ST202D IC. The user interface
was realized with the help of terminal software
Terminal V1.9b running under Windows XP or
Windows 7 operation systems. The commands of
RS232 communication mode for duty-cycle
measurements in the 1st USTI-MOB channel are
shown in Fig. 2.
1
×100 %
4 ×106 × t p
(5)
3. Measurement Technique and
Experimental Set-Up
The diagram of experimental measurement set-up
for the USTI-MOB working in duty cycle and dutyoff factor measuring modes is the same as it is shown
in [18]. The circuit diagram is similar to the USTI
circuit diagram of connection [19]. The difference is
only in the voltage of power supply Vcc: +1.8 V for
the USTI-MOB and +5 V for the USTI.
A square waveform pulse signal whose duty-cycle
and duty-off factor must be measured, was fed from
the first channel of Waveform Generator Agilent
33500B to inputs FX1, ST1 and FX2, ST2 (the 1st
channel of IC) of the USTI-MOB running on a
4 MHz clock.
In case of duty-off factor measurement mode the
first command must be changed to 'M05'. The dutycycle and duty-off factor can be measured also in the
2nd USTI-MOB channel. It this case it is necessary to
use commands 'M14' or 'M15' respectively.
Every measurement were consisted of 60 values
(sample size). The measurement errors were
evaluated from appropriate statistics with the help of
NUMERI software [20].
The Waveform Generator Agilent 33500B has the
high-stability OCXO timebase (frequency reference
±0.1 ppm of setting ±15 pHz) [21]. The Universal
Frequency Counter/Timer Agilent 53220A-010 has
the ultra high-stability OCXO timebase (±50 ppb)
[22].
4. Experimental Results
The D.C. range of measurements is dependent on
the frequency of input signal. The maximal possible
signal frequency for the D.C. measurement by the
USTI-MOB is 100 kHz, and duty-cycle can be
measured in the narrow range D.C.
∼50 %.
At 500 Hz frequency, the D.C. can be measured in
the wide range from 1 to 99 %. The possible dutycycle values vs. frequencies are shown in Table 1.
In the experimental investigation, 50 % D.C. was
measured at 500 Hz and 100 kHz of input signal
60 times each. The conventional true value for dutycycle measurement (D.C.=50 %) is shown in Fig. 2.
3
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 1-8
Table 1. Duty-cycle values vs. frequencies.
Frequency, kHz
< 0.5
1
10
20
30
> 40
Duty-cycle, %
1 ... 99.3
1.5 ... 98
15 ... 80
30 ... 71
46 ... 60
50
theoretical frequency distribution for data from a
normal, uniform or exponential population. If S < χ2
max, where S is the sum of deviations between the
dataset and the assumed distribution, and χ2 max is
the maximum possible allowable deviation in the χ2
distribution, the hypothesis of appropriate
distribution can be accepted [20]. The χ2 test has
been used at 95 % confidence and the number of
intervals grouping of experimental data for
histograms were from 3 to 6 [23].
Fig. 2. Conventional true value for duty-cycle measurement
(D.C. = 50 % at 500 Hz).
Fig. 5. Relative errors for duty-cycle measurements
of 500 Hz input signal.
The experimental results of duty-cycle
measurements are shown in Fig.3-5, and statistical
characteristics - in Table 2.
Table 2. Statistical characteristics of duty-cycle D.C.
measurements at 100 kHz and 500 Hz input signal.
Parameter
Fig. 3. Results of measurements for duty-cycle
of 100 kHz input signal.
Number of
measurements, n
Minimal D.C.,
(min)
Maximal D.C.,
(max)
Sampling Range,
D.C., (max) - (min)
Median D.C.
Arithmetic Mean,
D.C.
Variance D.C.
Standard Deviation
D.C.
Coefficient of
Variation D.C.
Confidence Interval
at probability
P=95 %
Maximal Relative
Error, δx %
Distribution low:
- uniform
- normal
Fig. 4. Results of measurements for duty-cycle
of 500 Hz input signal.
The χ2 test for goodness of fit test was applied to
investigate the significance of the differences
between observed data in the histograms and the
4
- exponential
100 kHz
500 Hz
60
60
0.4975
0.5004
0.5129
0.5007
0.0154
0.0004
0
0
0.5049
0.50055
2.4E-0005
2.3E-0008
0.0049
0.0002
102.7083
3334.0845
D.C.∈ [0.5037
÷ 0.5061]
D.C. ∈ [0.5005
÷ 0.5006]
≤ ±1.00
≤ ±0.08
χ2
S<>
S=7.67 < χ2
S=117.8> χ211
=12 (accepted) (rejected)
S=23,69 >
S= 162.34 >
χ2=9.4
χ2 =7.8
(rejected)
(rejected)
S= 53066871 >
S=4480.89 >
χ2= 11
χ2= 9.4
(rejected)
(rejected)
As it is visible from the Table 1, the relative error
is changed from ±0.08 to ±1.00 % in all specified
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 1-8
measuring range of USTI-MOB at duty-cycle
measurements. Such metrological characteristics are
very well suitable for many sensors applications.
5. Cases Study
5.1 Low Power Consumption Temperature
Sensor System
According to a new market research report
'Temperature Sensor Market, A Study of major
Sensor types (ICs, Thermostat, Thermistor, Resistive
Temperature Detectors (RTDs), Thermocouple) &
Applications, Global Forecast & Analysis 2011 –
2016', the market size of temperature sensors in the
year 2010 was $3.27 billion and is expected to reach
$4.51 billion units by 2016, at an estimated CAGR of
5.6 % and $6.05 billion by 2020, growing at a CAGR
of 5.11 % between 2014 and 2020 [24].
Temperature sensor utilizes digital technology,
which means better in efficiency and sensing
performance. Temperature sensors have a significant
place in different industry verticals. The major
applications of temperature sensors are in
petrochemical industry, automotive industry,
consumer electronics industry, metal industries, food
and beverages industry, and healthcare. The
emerging applications of temperature sensor in
aerospace and defense industry such as temperature
stabilization in satellites and Heat Ventilation
Automation and Control (HVAC), have fueled the
growth of this market [24].
The demand for reliable, high performance and
low cost sensors is increasing leading to the
development
of
microtechnology
and
nanotechnology,
offering
opportunities
like
miniaturization, low power consumption, mass
production, etc.
The designed low power consumption
temperature sensor systems consists of two dutycycle output sensors SMT16030 (Fig. 6) or SMT172
from Smartec [3, 4] and USTI-MOB IC controlled by
a microcontroller (in case of sensor systems or smart,
digital sensors) or by PC (in case of DAQ systems),
Fig. 7.
Fig. 7. Low power consumption temperature
sensor systems.
These temperature sensors are silicon sensors
with duty-cycle outputs with linear responses to
temperatures -45 0C ... + 130 0C. In applications
where multiple sensors are used (more than two),
easy multiplexing can be obtained by using a low
cost digital multiplexers. The USTI-MOB can work
also in so-called master communication mode. In this
case no any external microcontroller or PC are
necessary. The measuring mode can be selected by
the external jumpers, and the USTI-MOD IC
continuously forms result of measurement on its
RS232 bus at 2800 baud rate.
The temperature sensor SMT160-30 has dutycycle changes in an output signal from 10.85 % to
93 % at 1-4 kHz [3] (Fig. 8).
Fig. 8. Temperature sensor SMT16030’s output
at 24.4 0C: 44.21 % duty-cycle, 2 964.66 Hz at Vcc=4.97 V.
Fig. 6. Temperature sensors SMT16030 from Smartec
(The Netherlands) on investigation board.
The sensor SMT172 has the same range of dutycycle but at 0.5 - 7 kHz (the frequency range is the
same as in SMT16030 sensor for Vcc = 4.7-5.5 V)
[4]. The highest frequency in both sensors is achieved
at lower supply voltage and in the middle of
temperature range.
In general, the duty cycle of the both output
sensors' signals is defined by a linear equation [3, 4]:
5
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 1-8
D.C. = 0.320 + 0.00470 × t ,
(6)
where t is the temperature in 0C. Temperature is then
derived from the measured duty cycle.
The maximal total accuracy of SMT16030
temperature sensor in TO220 package and in the
temperature range from -45 0C to +130 0C is
±1.7 0C. It means, that the duty-cycle on sensor's
output can be changed from 0.4347 (absolute error
Δt = 0) to 0.4428 (absolute error Δt =±1.7 0C) at
+24.4 0C, for example:
distributed according to the triangular (Simpson’s)
because of the main component of δIC is the
quantization error, the total mean root square error of
temperature sensor system can be calculate
as [25, 26]:
2
2
δ
 δ 
σ syst = σ D.C .2 + σ IC 2 =  D.C .  +  IC  ≈
 2.3   6 
(9)
≈ 0.812 + 0.0612 ≈ ±0.82 %
D.C. = 0.320 + 0.0047 × 24.4 = 0.4347
D.C. = 0.320 + 0.0047 × (24.4 + 1.7) =
= 0.4428
(7)
The relative error for D.C measurement can be
calculated as:
Δ D.C.
=
D.C.
0.4428 − 0.4347
=±
×100 % =
0.4347
0.0081
=±
×100 % = ± 1.86 %
0.4347
δ D.C . = ±
(8)
The average, total relative error of USTI-MOB at
duty-cycle measurement for +24.4 0C obtained from
the experimental investigation is δIC = ± 0.149 %
(Fig. 9 and Fig. 10). The USTI-MOB has been
preliminary calibrated at the same temperature and
48 % RH in order to eliminate the quartz crystal’s
systematic error and short time temperature
instability. The small positive trends (dashed lines)
observed in both of cases are due to so-called
sensor’s self-heating effect.
Fig. 9. Duty-cycle values at 60 measurements for the
temperature +24.4 0C.
Taking into account many components of error
for temperature sensor’s relative error δD.C. which is
distributed according to the Gaussian distribution
low, and the USTI-MOB’s relative error δIC
6
Fig. 10. The relative error of duty-cycle measurement.
In practice, the relative error is more convenient
in comparison with the mean root square error, so, it
is expediently to calculate the following:
δ syst = σ syst × 2.3 ≈ 0.82 × 2.3 ≈ 1.89 %
(10)
Clear, the error’s component δIC can be neglected
in comparison with the δD.C. component, because of
the δIC is in one order (and even more) less than δD.C.
[23]. So, in this case the error of the temperature
sensor system δsyst is determinated only by the
sensor’s error itself, and USTI-MOB does not
introduce the significant error into the measuring
channel.
In order to increase the accuracy, the temperature
sensor in TO18, HEC or SOIC-8 packages should be
used [3].
The new temperature sensor SMT172 from
Smatrec has the maximal absolute error for TO-18
package ±0.8 0C in the same temperature range from
-45 0C to +130 0C (for other packages the absolute
error will be ±1.0 0C) [4]. In this case the relative
error calculated by the same manner as in (8) will be
± 0.87 %.
In order to decrease the absolute error to ±0.1 0C
the following second order equation must be used
[4]:
T = −2.42 × D.C.2 + 215.63 × D.C. − 68.83
(9)
In this case it is recommended to use the USTI IC
[18] for accurate duty-cycle measurement instead of
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 1-8
the USTI-MOB IC. The USTI has also the extended
rage of frequencies at D.C. measurements (up to
625 kHz), but the increased power consumption
(11 mA in comparison with 0.35 mA in the active
mode).
5.2 Accelerometers
Dual axis, low cost accelerometer fabricated on a
monolithic CMOS IC MXD2125 (MEMSIC)
provides two outputs that are set to 50% duty cycle at
zero g acceleration [27]. It measures acceleration
with a full-scale range of ±2 g and a sensitivity of
12.5 %/g. It can measure both dynamic acceleration
(e.g. vibration) and static acceleration (e.g. gravity).
The duty-cycle outputs are proportional to
acceleration:
A( g ) =
(t
p
/ Tx ) − 0.5
20 %
(10)
This device is offered from the factory
programmed to either a 10 ms period (100 Hz) or a
2.5 ms period (400 Hz).
The sensor can be directly interfaced to the
USTI-MOB IC. The accelerometer sensor systems is
shown in Fig. 11.
Fig. 11. Accelerometer sensor systems.
Taking into account the low frequency output
signal, the USTI-MOB can measure duty-cycles in its
two channels with low relative error: < ±0.08 %,
which can be neglected in comparison with the
accelerometer's error.
The dual axis accelerometers MXD2020E,
MXD6025 and MXD6125 (MEMSIC); and
ADXL202, ADXL210, ADXL212 and ADXL213
(Analog Devices) can be also connected to the
USTI-MOB by the same way, as it is shown in Fig. 8.
The appropriate equations to calculate acceleration
from duty-cycle for accelerometers from Analog
Devices, Inc. are shown in Table. 3.
Table 3. Equations for acceleration calculation.
Accelerometer
Equation
ADXL202
A( g ) =
ADXL210
A( g ) =
ADXL212
A( g ) =
ADXL213
A( g ) =
(t
p
/ Tx ) − 0.5
12.5 %
(t
p
/ Tx ) − 0.5
4%
(t
p
/ Tx ) − 0.5
12.5 %
(t
p
/ Tx ) − 0.5
30 %
Ref.
[28]
[29]
[30]
[31]
Selectable bandwidths for these accelerometer let
to use a reasonable frequency for application with the
USTI-MOB.
6. Conclusions
The experimental investigation of the designed
USTI-MOB integrated circuit working in the dutycycle and duty-off factor measuring modes confirms
its high metrological characteristics at low power
consumption (0.35 mA current consumption at
Vcc = 1.8 V). The relative error of duty-cycle – to –
code conversion is changed from ±0.08 to ±1.00 % in
all specified measuring range of USTI-MOB at dutycycle measurements. Metrological performances
(relative error and frequency range) can be improved
in four times if to use the USTI IC [1, 19] instead of
the USTI-MOB, if the power consumption is not a
critical parameter at the design.
The optimal trade-off between accuracy, power
consumption and communication speed has achieved.
It makes the USTI-MOB suitable for application in
various duty-cycle output sensors such as
temperature sensors, accelerometers, magnetic
sensors, Hall Effect gear tooth sensors etc. to produce
smart, digital output sensors, DAQ systems or sensor
systems. The significant time-to-market reduction
will be achieved in such design approach.
The USTI-MOB IC will be introduced on the
modern market at the end of 2015 by Technology
Assistance BCNA 2010, S .L. (Excelera), Barcelona,
Spain (http://www.excelera.io).
References
[1]. S. Y. Yurish, Digital Sensors and Sensor Systems:
Practical Design, IFSA Publishing, 2011.
[2]. Sensors Web Portal (http://www.sensorsportal.com).
[3]. SMT16030 Digital Temperature Sensor, Datasheet,
Smartec, March 2015.
[4]. SMT172, Datasheet, Smartec, June 2015.
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[5]. G. de Graaf, R. F. Wolffenbuttel, Light-to-Frequency
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[6]. D. Hernandez, R. Amador, I. León, K. Kohlhof,
Constant temperature anemometer with duty-cycle
output conversion, in Proceedings of the IX
Workshop IBERCHIP 2003, Habana, Cuba, March
2003.
[7]. Gerard C. M. Meijer, Concepts and Focus Point for
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[8]. S. Middelhoek, P. J. French, J. H. Huijsing and
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[9]. V. Ferrari , A. Ghisla, Zs. Kovács Vajna, D. Marioli,
A. Taroni, ASIC front-end interface with frequency
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[10]. Zeljko Ignjatovic, Mark F. Bocko, An Interface
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[11]. J. Cañete, S. Y. Yurish, Sensors Systems for
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with an Intel MCS-51 Microcontroller, Available
online at http://www.smartec.nl/pdf/appsmt01.pdf
[13]. J. Bauer, Various Solutions for Calculating a Pulse
and Duty Cycle, AN1473, Microchip Technology,
Inc., 2012.
[14]. J. Vuori, Simple Method Measures Duty Cycle, EDN
Magazine, March 3, 1997.
[15]. G. Chao, G. C. M. Meijer, A Novel Method of
Reading the Time-Domain Sensor Signals, in
Proceedings of ProRISC, November 29-30, 2001,
Veldhoven, The Netherlands.
[16]. S. S. Huang and M. S. Young, Method for Designing
a Temperature Measurement System Using Two
Phase-locked
Loops,
Review
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pp. 3826 - 3831.
[17]. Eric Jacobsen, Designing a Homemade Digital
Output for Analog Voltage Output Sensors,
[18].
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[22].
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[27].
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[29].
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Universal Sensors and Transducers Interface (USTI),
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Assistance BCNA 2010, S. L. (Excelera), 2010.
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Processing of Discrete Signals, Lybid', Kiev, 1992,
(in Ukrainian).
33500B Series Waveform Generators, Data Sheet,
Agilent Technologies, Inc., USA, 2012.
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Counter/Timers, Data Sheet, Agilent Technologies,
Inc., USA, 2010.
P. V. Novitskiy, I. A. Zograf, Errors Estimation for
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Billion by 2016, MarketsandMarkets, November
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Processing for Smart Sensors, John Wiley & Sons,
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reduction for period- and time-interval-to-digital
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Science and Technology, 16, 2005, pp. 1660–1666.
Improved, Ultra Low Noise ±2g Dual Axis
Accelerometer
with
Digital
Outputs,
MXD2125GL/HL, MXD2125ML/NL, MEMSIC,
Inc., USA, 2004.
Low Cost 62 g/610 g Dual Axis iMEMS®
Accelerometers
with
Digital
Output,
ADXL202/ADXL210, Rev. B, Analog Devices, Inc.,
1999.
Dual-axis
Accelerometer
Evaluation
Board
ADXL210EB, Analog Devices, Inc., USA, 2003.
Precision ±2 g Dual Axis, PWM Output
Accelerometer ADXL212, Analog Devices, Inc.,
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Low Cost ±1.2 g Dual Axis Accelerometer
ADXL213, Rev. A, Analog Devices, Inc., 2010.
___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
8
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 9-15
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Security in Visible Light Communication:
Novel Challenges and Opportunities
1
Christian ROHNER, 2 Shahid RAZA, 3 Daniele PUCCINELLI,
and 1, 2 Thiemo VOIGT
1
Uppsala University, Dept of Information Technology, Box 337, 75105 Uppsala, Sweden
2
SICS Swedish ICT, Box 1263, 164 29 Kista, Sweden
3
SUPSI, Institute for Information Systems and Networking, Via Cantonale, 6928 Manno, Switzerland
1
Tel.: +46 70 167 9361
1
E-mail: [email protected]
Received: 31 July 2015 /Accepted: 31 August 2015 /Published: 30 September 2015
Abstract: As LED lighting becomes increasingly ubiquitous, Visible Light Communication is attracting the
interest of academia and industry as a complement to RF as the physical layer for the Internet of Things. Aside
from its much greater spectral availability compared to RF, visible light has several attractive properties that may
promote its uptake: its lack of health risks, its opportunities for spatial reuse, its relative immunity to multipath
fading, its lack of electromagnetic interference, and its inherently secure nature: differently from RF, light does
not penetrate through walls. In this paper, we outline the security implications of Visible Light Communication,
review the existing contributions to this under-explored space, and survey the research opportunities that we
envision for the near future. Copyright © 2015 IFSA Publishing, S. L.
Keywords: Visible light communication, Security.
1. Introduction
With Visible Light Communication (VLC), visible
light is employed as the transmission medium and
Light Emitting Diodes (LEDs) can offer high-capacity
wireless data transmission capabilities on top of the
basic role as lighting devices [1]. LEDs are replacing
incandescent light bulbs because of their much higher
energy efficiency, superior reliability, and ever
dropping price points. As LEDs become increasingly
ubiquitous, VLC continues to evolve from its former
role as a subfield of Optical Wireless Communication
to a candidate physical layer for the Internet of Things
(IoT) that attracts the attention of both academia and
industry. Nowadays, VLC is primarily viewed as a
complement to RF in the face of the looming spectrum
crunch: as the radio spectrum becomes increasingly
http://www.sensorsportal.com/HTML/DIGEST/P_2717.htm
crowded, the superior spectral availability in the
visible light range becomes increasingly attractive for
the IoT with its billion devices that need to be
networked.
The bulk of the recent work on VLC has targeted
the high end segments of the design space, pursuing
the goal of high throughput by means of advanced
modulation schemes. Until recently, Gbps range data
rates had only been demonstrated with laser diodes
[2]; as recently as 2014, a 3 Gb/s link has been
demonstrated with a Gallium Nitride LED [3].
Increasing the throughput for visible light is also
possible
by
Multiple-Input-Multiple-Output
transceivers as discussed by Azhar, et al. [4] and
O’Brien, et al. [5] whereas Komiyana, et al. [6]
increase the throughput by using RGB-LEDs with
multiple colors such as blue, green and red. Other
9
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 9-15
authors have explored low-end communication links
between resource-constrained devices, using simple
LEDs for transmission and LEDs or photodiodes for
reception [7-8]. Furthermore, smartphone-based VLC
between a screen and a camera has also been explored
in recent years [9-11]. At the application layer we have
a number of interesting approaches making use of
visible light ranging from indoor localization [12-13]
to underwater networking with light [14]. Localisation
is a key enabler of the IoT as many IoT applications
require accurate localization information.
Visible light has several key properties that we
review in Section II; while its spectral availability is
certainly the main reason behind the growing interest
in VLC, the inherent security that stems from the
spatial confinement of light beams is arguably the
most captivating difference with respect to RF and,
quite possibly, the most underrated. In fact, at the time
of writing, there are only a few studies that address
security in visible light communication. Mostafa and
Lutz address secure VLC link at the physical layer
[15] by investigating the achievable secrecy rates for
of the Gaussian wiretap channel. Zhang, et al. [16]
propose a secure system for barcode-based VLC, i.e.,
for secure transmission between a screen and a
camera. For supporting a secure data exchange, the
system requires a fully duplex VLC channel.
In this paper, we outline the security implications
of visible light and we survey the opportunities for
VLC security research that arise in the IoT realm. The
remainder of the paper is organized as follows. In
Section 2, we present the physical layer properties of
visible light. Section 3 discusses how to secure visible
light communication whereas the following Section 4
takes up security implications of visible light
communication. Finally, Section 5 concludes
the paper.
2. Physical Layer Properties of
Visible Light
VLC was already a key communication tool long
before the digital revolution of the past century.
Alexander Graham Bell’s photophone, patented in
1880, predated Guglielmo Marconi’s wireless radio
by over 15 years before carried human speech by way
of mechanically modulated sunlight. Today’s
fiberoptic communications networks are based on
pulsed light transmitted via glass fibers. IBM Zurich
built an optical wireless system as early as the early
1980s, but the technology failed to take off owing to
the lack of demand (the Internet was still in its
infancy). When wireless communication took off in
the 1990s, RF was the wireless medium of choice.
Now that the tightly regulated RF spectrum is
getting increasingly crowded, VLC is gaining appeal
as a much needed alternative to RF for Internet
connectivity. VLC’s attractiveness is largely due to
the availability of approximately 670 THz of free
unlicensed spectrum, which means that very high data
rates may be achieved with VLC and, even more
10
importantly, that VLC offers a viable solution to
alleviate the spectrum crunch. At the same time, the
rise of VLC is also being fueled by the massive uptake
of Light Emitting Diodes (LEDs), which are replacing
incandescent illumination solutions due to their
comparatively high energy efficiency and ever
decreasing price points.
The key features of VLC that are advantageous
compared to RF and that make VLC an attractive
infrastructure for the IoT are:
• Spectral availability (10,000 times larger than
RF’s with an area spectral efficiency (bits/s/m2) that is
1,000 greater [17]);
• Free unlicensed spectrum;
• Inherent security due to spatial confinement of
light beams (light does not penetrate through walls);
• Spatial reuse opportunities, also due to
spatial confinement;
• Immunity to multipath fading;
• Due to the limited Field of View of LEDs, VLC
is inherently more directional than RF, and today’s
commodity hardware may be largely regarded as
directional;
• The properties above also enable accurate
localization [12-13] and gesture recognition based on
visible light [43];
• Non-line-of-sight communication is possible
thanks to diffused reflection, provided that the
receiver has sufficient sensitivity to detect it;
• Lack of electromagnetic interference;
• Lack of health risks [18].
Most of the academic research on VLC has
targeted the high-end portion of the design space,
focusing on the achievement of high data rates.
Resource-hungry high-end VLC systems have been
investigated extensively in a relatively large body of
work that has focused on Physical Layer
advancements [19-21]. Energy efficiency has not been
treated as a first-order problem because the idea is to
piggyback on solid state lighting systems so that the
communication footprint is negligible compared to the
overall lighting footprint. At the time of writing, the
provision of Internet connectivity is the most widely
cited application of VLC. Dubbed LiFi, VLC-based
Internet connectivity is particularly suitable to any
application that requires lots of downlink bandwidth
and minimal upstream capacity, such as those
video/audio download/streaming applications that are
taking a massive toll on cellular capacity. The typical
architecture is based on Power Line Communication
systems to deliver data to light fixtures for VLC
forwarding to end devices. This is a particularly
advantageous way to offer Internet connectivity in
locales where RF is off limits, such as airplanes,
operating theaters in hospitals, and hazardous factory
environments.
In recent years, the huge potential of optical
wireless communication for in-house networking has
been practically demonstrated in the EU-funded
project OMEGA, achieving rates in the order of Gbps
with laser diodes [2]. Data rates of the order of
hundreds of Mbps can be achieved with white LEDs
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 9-15
by way of resource-rich hardware with strong
computational capabilities [22]. Due to the rising
popularity of VLC, the IEEE has recently published a
VLC standard for local area networks (IEEE 802.15.7)
that defines the Physical and Medium Access layers
for short range wireless optical communication using
visible light [23] in point-to-point communication
scenarios, which have been the primary target of all
research efforts in this space thus far and that also
present the first step towards VLC as an infrastructure
for the IoT.
3. Securing Visible Light Communication
In real-world Internet of Things deployments,
wireless communication is usually protected against
unauthorized access to the wireless medium,
modification of messages, eavesdropping, and replay
attacks. Authentication security services confirm the
identity of an entity and grant access to the wireless
medium. Confidentiality services ensure that only the
participating devices understand the contents of
messages. Integrity services ensure that the data is not
modified while in transit. Last but not least, freshness
security services validate that the received data is not
a reply of previously received message but that it
belongs to the current secure session. There exist three
well-known security mechanisms that can be used to
protect
VLC:
proximity-based
protection,
steganographic protection, and cryptographic
protection. These solutions provide security in
fundamentally different ways; the choice of any of
these solutions for a real-world deployment depends
on the application’s security requirements.
3.1. Proximity-based Protection
Proximity-based protection relies on the
directionality properties of visible light and the
inherent confinement of light beams within enclosed
spaces; these properties may be exploited to restrict
the communication coverage to a specific area. Finegrained control of light characteristics can limit the
flow of communication in a restricted proximity. Such
a security solution is acceptable in physically
protected environments that offer snoop-free line-ofsight communication. Examples of such environments
are enclosed spaces such as rooms and vehicles. Cui,
et al. [24] discuss some of the key issues in line-ofsight VLC system design.
Ensuring a snoop-free confinement of light signal
to a particular source is an open research challenge and
having such guarantees offers novel applications and
opportunities such as VLC-based access control.
3.2. Steganographic Protection
Steganography aims to protect the communication
by hiding a message within another message. A
possible steganographic protection is hiding secret
communication in existing illumination. Unlike
cryptographic protection, stenographically protected
messages do not seek attention, e.g., from the NSA,
and easily pass casual scrutiny. In a typical
steganographic
protection
scheme,
the
communicating end points share a secret that
describes how data is concealed. Steganography
mainly
addresses
confidentiality,
but
not
authentication and integrity. Nevertheless, it is hard
for an attacker (without knowing the shared secret) to
breach integrity unless the attacker modifies the entire
message and hereby also modifies the hidden
message. However, if the confidentiality is
compromised, the integrity is also compromised since
an attacker can identify and alter the hidden message.
This is not the case in cryptography. Providing
steganographic protection by hiding secret light
signals in existing VLC is worth investigating
especially for devices that have limited processing and
memory resources and cannot afford to run complex
and expansive cryptographic operations.
3.3. Cryptographic Protection and Key
Generation
Unlike steganography, cryptography offers most
security
services
including
confidentiality
(encryption/decryption), integrity (with hashing and
message integrity codes), and authentication (identity
validation). In the case of VLC, cryptographic
protection can be applied at different layers. The IEEE
802.15.7 standard for VLC already provides
confidentiality and integrity security services at the
MAC layer. The security is optional and no key
management is specified in 802.15.7; however,
standardization efforts are being carried out in the new
IEEE 802.15.9 WG to provide key management for
802.15.4 and 802.15.7. Schmid, et al. [7] provide
MAC and physical layers for LED-to-LED VLC
networks but propose the implementation of security
at the upper layers.
Modern cryptographic protection mainly relies on
secret keys and all other operations are known, i.e.,
security through obscurity is avoided. Key
management, however, is one of the hardest problems
in cryptography. Solutions have been proposed that
exploit the properties of wireless channels to generate
keys to secure wireless links [25-26]. For instance, it
is possible to exploit channel reciprocity, whereby two
closely located receivers experience the same signal
envelope in the absence of interference [27]. Since
practical channels are never immune to interference, a
technique is presented in [25] that does not require
identical signal envelopes for the communicating
terminals, but only matching deep fades, which are
immune to reasonable levels of interference.
Because the light carrier wavelength is much
smaller than the area of the photodetector, VLC is
immune to fast fading and is only subject to slow
fading in the form of path loss and log-normal
shadowing [1]. Because of VLC’s relative immunity
11
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 9-15
to multi-path fading compared to RF, the effectiveness
of schemes based on channel reciprocity for VLC
must be thoroughly investigated. In the case of
systems using both VLC and RF, it is possible to use
the radio for key generation, and then use the
generated keys for VLC.
3.4. Chaffing and Winnowing
In addition to the three methods explained above
for VLC protection, a less known security mechanism
called chaffing and winnowing [28] can also be used.
It offers confidentiality and authentication services but
without requiring any encryption/decryption. It uses
shared key and Message Authentication Codes
(MACs) to provide authentication and uses the same
MACs to offer confidentiality. For confidentiality, it
breaks the message into smaller packets and assigns a
serial number to each packet. The sender sends the
valid packets as well as chaffs (fake packets) that have
a valid serial number and message format but a bogus
MAC. The receiver records all the packets that have
valid MACs and immediately discards the packets that
have invalid MACs; this process is called winnowing.
The receiver can assemble the valid packets and
recover the secret message. While this technique is
underused nowadays, it may be worth to investigate
the use of chaffing and winnowing in VLC.
Steganography and chaffing and winnowing are
alternative candidates in situations where export
control or other circumstances hinder the use
of cryptography.
4. VLC Security: Attacks
and Opportunities
In this section we highlight opportunities and
attacks in the context of VLC security. Opportunities
arise through the use of VLC as out-of-band or sidechannel, and the physical properties of light. Attacks
known from radio communication get a different
flavor in VLC, mainly because of the restricted Field
of View of LEDs. This includes jamming, a denial-ofservice attack that is a particular threat to missioncritical IoT systems that must deliver data timely.
4.1. Authentic Channels
An interesting concept in visible light
communication are visual channels enabled by the
transmission between a screen and a camera. These
allow users to recognize and verify the captured scene.
Visual channels can be used as a secure out-of-band
channel for intuitive pairing of devices using twodimensional barcodes, displayed by (or affixed to) at
least one of the devices. The barcode represents
1
a.k.a. multi-factor authentication
12
security-relevant information that can be read visually
by a camera-equipped device and is used to set up an
authenticated channel.
Visual channel are considered resilient against
active attacks such as man-in-the-middle attacks, and
have the property that active attacks are easily
detected by the user. The idea of encoding
cryptographic information into barcodes was first
proposed by Hanna [29] as well as Gehrmann, et al.
[30]. This work has be generalized into the concept of
visual channels by McCune in his work ‘Seeing-isbelieving’ [31]. Saxena, et al. [32] extends the Seeingis-believing system to achieve mutual authentication
using just a unidirectional visual channel, and using
visual channel authentication even on devices with
limited displaying capabilities (e.g., LEDs). The
ability to provide an authentic channel is unique to
VLC and is not available in radio communication.
4.2. Out-of Band Channels
Out-of-band channels are an important tool to
establish security in general, and have been used in
particular for authentication purpose [33]. For
example, receiving the same (or complementary)
information through independent channels imply
higher probabilities for message authentication. The
potential ubiquity of VLC makes it an ideal candidate
to complement a radio communication channel for
security purposes, for instance to distribute public
keys or a fingerprint thereof to check the authenticity
of key material received over the primary
communication channel. 1
4.3. Multiple VLC Channels
VLC scenarios often include several light sources,
potentially offering multiple (out-of-band) channels.
If operated interference-free and possibly directed,
VLC could create zones in which subsets of the
sources can be received. From a security perspective,
such zones could be combined with network coding
[34] or threshold secret sharing schemes [35] where T
out of N linear combinations of data are needed to reconstruct it. This can be used to either increase the
probabilities for message authentication (see Section
IV-B), to make data only accessible in certain spatial
zones, or to require the user to move around in a room
to collect the necessary information to re-construct
the data.
Visible light has the property that the effective
intensity of light is additive that is, light from different
sources will add upp at the receiver. The received
signal will therefore be unique for the location.
Besides of being used for localization, this property
has been leveraged for distance bounding [36] or key
generation [37] in radio communication. Although
multi-path fading and dispersion are expected to be
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 9-15
much smaller in VLC, direct on-off modulations will
result in distinct timing patterns that can be used for
this purpose.
4.4. Denial-of-Service
Denial-of-service attacks based on jamming are
relatively straightforward to perform on many
wireless networks [38]. In particular, low-power
radios are notoriously easy to jam even without
sophisticated hardware support [39]. There exist
approaches to guard low-power radio networks from
malicious traffic. In [40], for instance, a central unit
detects and corrupts malicious packets so they are not
accepted by the unit under attack. Note that this
approach, however, can only detect jamming without
preventing it [41]. Another option is to detect and map
jammed areas to reroute the traffic around these areas
[42], but this is only applicable for larger networks.
As discussed in Section II today’s VLC can be
regarded as directional which makes it easier to defend
against the equivalent of jamming attacks on lowpower radios. Fig. 1 presents a scenario where an
attacker tries to disturb the sink node from receiving a
packet. Note that in this scenario we assume that the
attacker uses a directional light source. Furthermore,
we assume the attacker knows the position of the node
against which it launches the attack, and is therefore
able to aim the light beam accurately. Jamming attacks
on low-power radios do not need such information and
are hence easier to launch. Once the attack is detected,
the node under attack could physically shield itself
from the attack and a multi-hop visible light network2
could reroute to deliver information via other nodes to
the intended sink as shown in Fig. 1. In networks
where transmissions are less directional as is the case
for most RF communication that often use
omnidirectional antennas, shielding in a similar
manner would be much more difficult.
While in the discussion above we make use of
transmitter’s directionality to defend against denialof-service, the same properties also cause problems.
For example, as mentioned above, jamming attacks on
low-power radio networks can be detected [41]. Due
to the multi-path effects and the inherent broadcast
nature of radio traffic, a jamming attack on one or
several hosts can easily be detected by other nodes that
would also experience a higher energy level in the
radio channel. These nodes can then take actions such
as re-routing of traffic. With today’s directional VLC
channels, however, it might not be as straightforward
to understand that one or several nodes are exposed to
a jamming attack. For example, even light sensors
close to the host under attack might not recognize an
ongoing attack even though a human present in the
same room might be able observe such an attack.
5. Conclusions
Thanks to the massive uptake of LEDs for
illumination as well as the fear of the RF spectrum
crunch, VLC has recently emerged as a hot research
area and complement to RF as infrastructure for the
IoT. Nevertheless, VLC security has only been
investigated in a few studies. In this paper, after
reviewing the key properties that make VLC
fundamentally different from RF, we have surveyed
various solutions from the wired/RF security literature
that may be employed successfully to secure VLC.
Moreover, we have delved into a survey of
opportunities for security research that arise from the
uptake of VLC, and we have reasoned about how
attacks against VLC may fare. We hope that this paper
will serve to stimulate future investigations in VLC
security research, which remains an under-explored
space whose strategic importance is bound to grow as
VLC research and development efforts continue to
gain momentum in the IoT realm.
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
15
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 16-21
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Green Walls Utilizing Internet of Things
Andrejs BONDAREVS, 1 Patrik HUSS, 1 Shaofang GONG,
2
Ola WEISTER and 2 Roger LILJEDAHL
1
ITN – Communication Electronics, LiU – Campus Norrköping, SE-60174, Norrköping, Sweden
2
Vertical Plants System Sweden AB, Box 2175, SE–60002, Norrköping. Sweden
1
Tel.: +46 (0) 700896063
1
E-mail: [email protected]
Received: 19 August 2015 /Accepted: 20 September 2015 /Published: 30 September 2015
Abstract: A wireless sensor network was used to automatically control the life-support equipment of a green wall
and to measure its influence on the air quality. Temperature, relative humidity, particulate matter, volatile organic
compound and carbon dioxide were monitored during different tests. Green wall performance on improving the
air quality and the influence of the air flow through the green wall on its performance were studied. The
experimental results show that the green wall is effective to absorb particulate matter and volatile organic
compound. The air flow through the green wall significantly increases the performance. The built-in fan increases
the absorption rate of particulate matter by 8 times and that of formaldehyde by 3 times. Copyright © 2015 IFSA
Publishing, S. L.
Keywords: Internet of things, Wireless sensor network, Green wall, Air quality, Particulate matter, Volatile
organic compound.
1. Introduction
Green walls are plants grown in vertical systems
that can be freestanding but generally attached to
internal or external walls. Green walls allow for high
density and high diversity vegetating on vertical
areas [1].
Internet of Things (IoT) is a global infrastructure
for the information society, enabling advanced
services by interconnecting (physical and virtual)
things based on existing and evolving interoperable
information and communication technologies [2].
Green walls are not a part of IoT yet. They are
gaining its popularity because of the aesthetic and
environmental reasons. Green walls require regular
maintenance, which includes monitoring (for
example, temperature and relative humidity) and
control (for example, irrigation) [3-4].
16
Several papers indicate early stages of connecting
green houses to IoT [5-11]. However, no full
integration with IoT could be found. If green walls
would be a part of IoT, the status of the green wall and
its impact on the air quality can be constantly
monitored. However, no research on connecting green
walls to IoT could be found so far.
1.1. Indoor Air Quality
Indoor air quality shows how polluted the air is.
Air quality includes such pollutants as carbon dioxide,
particulate matter (PM) and volatile organic
compound (VOC).
In large cities the air pollution is often a problem
[12]. To improve the indoor air quality, air purifiers
are used. It is known that plants improve indoor air
http://www.sensorsportal.com/HTML/DIGEST/P_2718.htm
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 16-21
quality [13-14]. However it is unknown how effective
the general indoor green wall at absorbing carbon
dioxide, PM and VOC. It is also unknown how the air
flow through the green wall influences its
performance.
In this paper we present that it is possible to
connect green walls to IoT and use IoT to control the
equipment of the green wall and measure its influence
on the air quality in a controlled environment.
2. The Experiment Setup
The experiment was done in a laboratory without
windows and with the ventilation system turned off.
2.1. Wireless Sensor Network
The wireless sensor network (WSN) developed at
Linköping University in Sweden [15-16] is based on
the ZigBee specification and is an IoT solution. It
provides nodes for monitoring temperature, relative
humidity, carbon dioxide, VOC, PM and electricity
consumption as well as for automatic control.
The architecture of the WSN is shown in Fig. 1. It
is a mesh network. The coordinator is responsible for
the control of the network and is a gateway between
the WSN and USB interface. The coordinator is
connected to the Local Server which is an IBMcompatible computer with software responsible for
managing the data and tasks, through the USB
interface. The Local Server is a gateway between the
WSN and the Internet. The main server provides cloud
based service for several WSNs at the same time. The
WSN consists of the coordinator, routers and wireless
sensors. Routers provide the ability to extend the
network and increase possible communication paths
between sensor devices. The router functionality can
be combined together with other functionalities, such
as sensing or control, while the router device is
powered by mains. Sensor devices are batterypowered wireless devices with low energy
consumption and are in the sleep mode most of the
time; therefore, they can only be used for sensing and
monitoring purposes.
Wireless Sensor Network
Wireless sensor
Local Server
Coordinator
Router
Relay Switch Box
Router
Cloud
Wireless Sensor
Wireless Sensor
Relay Switch Box
User
Fig. 1. Wireless Sensor Network architecture. Dashed lines show some possible alternative wireless connections.
2.2. The Green Wall
The green wall shown in Fig. 2 is provided by the
Vertical Plants System AB in Sweden. The green wall
size is 200 × 200 × 18 cm. The green wall has a builtin water pump, water storage compartment and fan for
forced air circulation through the plants (see Fig. 2).
To create an isolated environment, a greenhouse
made of PVC (Polyvinyl chloride) and aluminum was
built around the green wall, see Fig. 3. The greenhouse
size is 406 × 203 × 223 cm (15.9 m3). As illustrated in
Fig. 4, a separation wall with one opening was built
inside the green house. The opening is about 20 cm in
diameter. If the fan is on, then the airflow goes from
the lower compartment to the upper compartment. Fan
has five speeds, but only two speeds were used.
Table 1 shows the relation between the air flow and
the fan speed.
Fig. 2. The green wall used for the experiment, provided
by Vertical Plants System AB (Sweden).
17
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 16-21
Water pump
Fan
Light
Dehumidifier
Feedback
Schedule
Schedule
Fig. 5. Control structure for the equipment
on the green wall.
2.4. Sensors
Third-party sensors without any wireless
functionality were integrated into the WSN. Table 2
lists types and models of sensors used.
Fig. 3. The green house that was built around the green wall
to create an isolated environment. The horizontall separation
wall can be seen on the side of the green house.
Fig. 4. Schematical view of the greehouse from the side.
Table 1. Air flow depending on the fan speed.
Fan speed
2
5
Airflow
28.8 m3/h
82.8 m3/h
2.3. Automatic Control
In order to maintain the green wall (see Fig. 2), a
life support system should be controlled. It includes
lights, the water pump and the fan. Each unit is
connected to a relay switch node. Lights are scheduled
to be on every day from 7:00 to 21:00. The water pump
is scheduled to run for 10 minutes at 7:00, 9:00, 11:00,
13:00 and 17:00. The fan is controlled manually
depending on the experimental conditions.
As illustrated in Fig. 5, to control the relative
humidity inside of the green house, a dehumidifier is
used. It is connected to the relay switch node and
controlled by a feedback loop to keep relative
humidity at 60 %.
18
Table 2. Sensors used in the experiment.
Sensor type
Temperature
Relative humidity
Carbon dioxide
VOC
PM
Sensor model
SHT21 [17]
SHT21 [17]
COZIR GC-0012 [18]
NanoSense E4000 [19]
NanoSense P4000 [19]
The sensors used are shown in the Fig. 6. PM and
VOC sensors are connected to the wireless nodes
through a RS485 to UART (Universal asynchronous
receiver/transmitter) converter. VOC and PM sensors
themselves have a separate power (12 V). The carbon
dioxide sensor is customly built into the enclosure and
is connected directly to the wireless node through the
UART interface.
3. Measurement
Data from the cloud was exported to the Comma
Separated Values format and used in MATLAB for
further analysis.
3.1. Carbon Dioxide
Carbon dioxide from a high pressure carbon
dioxide cylinder was injected into the lower
compartment of the green house (see Fig. 4). It reaches
the concentration of 1167 and 8037 ppm, respectively.
Measurements were performed with fan on and off,
respectively.
3.2. Volatile Organic Compound
Two different substances were used for the test:
Universal Glue and Formaldehyde 4 % solution. The
Universal Glue contains two VOCs: acetone and
methyl acetate. Formaldehyde and acetone are
common VOCs. Substances were put on a surface of
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 16-21
seven days. Fluctuations of ±25 ppm can be observed
between the night and the day.
CO2, ppm
600 cm2 (paper for glue and glass for formaldehyde)
inside of the green house.
Fig. 7. Carbon dioxide concentration measured over
the time. Black – light period. Grey – dark period.
As shown in Fig. 8, the PM1.0 concentration
reduces at a rate of -1.87 µg·m3·h-1 with fan off,
-6.67 µg·m3·h-1 with fan at speed 2 and
-20.06 µg·m3·h-1 with fan at speed 5.
Fig. 6. Sensors used in the experiments. (a) PM/VOC sensor,
(b) carbon dioxide sensor, (c) temperature and relative
humidity sensor. 1 – wireless node developed at Linköping
University in Sweden, 2 – VOC or PM sensor,
3 – RS485 to UART converter.
3.3. Particulate Matter
Ashes from the fireplace were used, as they can be
found in many houses and contain PM10, PM2.5 and
PM1.0. Ashes were injected into the lower and upper
compartments of the green house through the standard
computer 80 × 80 mm cooling fan. The air flow
generated by the fan effectively distributes particles in
the air.
Fig. 8. PM1.0 concentration measured over the time.
A - fan speed 5. B - fan speed 2. C - fan off.
As shown in Fig. 9, it reduces Formaldehyde
concentration at a rate of 0.033 ppm·h-1 with fan off,
0.076 ppm·h-1 with fan at speed 2 and 0.09 ppm·h-1
with fan at speed 5. Values are for the case when the
light is on.
3.4. Temperature and Relative Humidity
The temperature was not controlled, but was
monitored. Temperature was measured in the lower
and upper compartments, and on the green wall.
The relative humidity was controlled by a
dehumidifier and should remain constant at a level of
60-70 % when controlled.
4. Result
The green wall reduces the carbon dioxide
concentration at a rate of 11.46 ppm/h with fan off, see
Fig. 7. The carbon dioxide concentration stabilizes in
Fig. 9. VOC (Formaldehyde) concentration measured over
the time. A - fan off. B - fan speed 2. C - fan speed 5.
Dehumidifier is off.
19
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 16-21
Fig. 10 shows that temperature fluctuates between
25.5 and 27.4 °C in the upper compartment of the
green house and between 23.4 and 25.2 °C in the lower
compartment of the green house.
than that in the dark. During our experiment, the
formaldehyde absorption rate is about 6 times faster in
the light than in the dark, which was confirmed in two
tests (see Fig. 9).
6. Conclusions
Fig. 10. Temperature measurement in the green house
over the time.
Fig. 11 shows that the relative humidity is stable
and is at the level of 66 % in the upper compartment
of the green house and 56 % in the lower compartment
of the green house. The green wall evaporates about
137 g of water per hour.
The green wall with an active built-in fan to
increase air flow significantly improves the air quality.
It is effective at absorbing VOC and PM, but not
equally effective at absorbing carbon dioxide. The
built-in fan increases the PM absorption rate by
8 times and Formaldehyde absorption rate by 3 times.
The green wall increases the relative humidity, which
is good to use in a dry environment.
WSN, which is a part of IoT, reduces the
complexity of the experiment setup. Wireless nodes
are easy to install and move around. The ability to
access the nodes through the Internet makes it easy to
control the experiment.
Acknowledgements
The Norrkoping municipality, the Swedish energy
agency and Vinnova in Sweden are acknowledged for
financial support of the study. Gustav Knuttson at LiU
- Campus Norrköping is acknowledged for the
technical support.
References
Fig. 11. Relative humidity in the green house measured
over the time.
5. Discussion
In the carbon dioxide measurements (see Fig. 7) it
can be noticed that the carbon dioxide concentration
reduces in the dark time period also in the beginning
of the experiment. This behavior could be caused by
sol-called Crassulacean Acid Metabolism (CAM)
[20]. CAM involves microorganisms that live in the
soil and they do not require light to absorb carbon
dioxide. CAM occurs in approximately 6 % of high
plant species. However, there is no proof that this was
the case during our experiment.
Paper [14] states that formaldehyde absorption is
not significantly affected with the light intensity;
however, there is a considerable difference between
light and dark conditions. In light condition the
absorption rate should be approximately 5 times faster
20
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(http://www.growinggreenguide.org).
[2]. International
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(http://www.itu.int).
[3]. S. Loh, Living walls - a way to green the built
environment, in BEDP Environment Design Guide,
Institute for BEDP, August 2008, TEC 26.
[4]. A. Wood, P. Bahrami, D. Safarik, Green Walls in
High-Rise Buildings, Images Publishing, Australia,
2014.
[5]. T. Ahonen, R. Virrankoski, M. Elmusrati, Greenhouse
Monitoring with Wireless Sensor Network, in
Proceedings of the IEEE/ASME International
Conference on Mechatronic and Embedded Systems
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[6]. N. Sakthipriya, An Effective Method for Crop
Monitoring Using Wireless Sensor Network, MiddleEast Journal of Scientific Research, 20, Vol. 9, 2014,
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[7]. D. D. Chaudhary, S. P. Nayse, L. M. Waghmare,
Application of Wireless sensor networks for
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[8]. Y. Song, J. Ma, Z. Zhang, Y. Feng, Design of Wireless
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[9]. I. Matijevics, S. Janos, Control of the Greenhouse’s
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[14].
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Congress, September 9-14, 2012, Busan, Republic of
Korea, Vol. 1, pp. 1 – 5.
Beijing Air Pollution (http://aqicn.org/city/beijing/)
R. A. Wood, M. D. Burchett, R. Alquezar, R. L.
Orwell, J. Tarran, F. Torpy, The potted-plant
microcosm substantially reduces indoor air VOC
pollution: i. office field-study, in Water, Air and Soil
Pollution, Springer, 2006, pp. 163-180.
Kwang Jin Kim, Myeong Il Jeong, Dong Woo Lee,
Jeong Seob Song, Hyoung Deug Kim, Eun Ha Yoo,
Sun Jin Jeong, and Seung Won Han, Variation in
[15].
[16].
[17].
[18].
[19].
[20].
Formaldehyde Removal Efficiency among Indoor
Plant Species, HortScience, 45, 10, 2010,
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Gong, Flexible and Reliable Local Manager for
Internet of Things, Advanced Science and Technology
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P. Huss, N. Wigertz, J. Zhang, A. Huynh, Q. Ye, S.
Gong, Flexible Architecture for Internet of Things
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Sensirion manufacturer (http://www.sensirion.com)
CO2Meter manufacturer (http://www.co2meter.com)
Nano-Sense
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(http://www.nanosense.com).
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Haslam, Howard Griffiths, Kate Maxwell.
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
21
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Metrological Array of Cyber-Physical Systems.
Part 11. Remote Error Correction of Measuring Channel
Yuriy YATSUK, Mykola MYKYJCHUK, Volodymyr ZDEB,
and Roman YANOVYCH
National University ‘Lviv Polytechnic’, Institute of Computer Technologies,
Automation and Metrology, Bandera str. 12, Lviv, 79013, Ukraine
Tel.: +38-0322-58-23-79
E-mail: [email protected]
Received: 30 August 2015 /Accepted: 28 September 2015 /Published: 30 September 2015
Abstract: The multi-channel measuring instruments with both the classical structure and the isolated one is
identified their errors major factors basing on general it metrological properties analysis. Limiting possibilities of
the remote automatic method for additive and multiplicative errors correction of measuring instruments with help
of code-control measures are studied. For on-site calibration of multi-channel measuring instruments, the portable
voltage calibrators structures are suggested and their metrological properties while automatic errors adjusting are
analysed. It was experimentally envisaged that unadjusted error value does not exceed ± 1 μV that satisfies most
industrial applications. This has confirmed the main approval concerning the possibilities of remote errors selfadjustment as well multi-channel measuring instruments as calibration tools for proper verification. Copyright ©
2015 IFSA Publishing, S. L.
Keywords: Cyber-physical system, Metrological assurance, Multi-channel measuring instrument, Remote errors
correction and verification, Code-control voltage measure.
1. Introduction
Cyber-physical systems (hereinafter CPSs) are
deemed to be an integral part of manufacturing
systems, factories, machinery, test facilities, moving
objects, vehicles etc. These facilities typically utilize
thousands of physical phenomena, whose parameters
are constantly changing.
Each CPS is comprised of dispersed hardware
components and computer software, intended to
obtain information about the progress of physical
processes in controlled facilities, as well as its storage,
transmission, processing and production by control
signals. Especially it is needed information on the
measured values including the location, value, speed
changes, etc.
22
The measurement data, received from controlled
objects, would be characterized by the set of metrological parameters. The measuring channels distribution
in space, permissible changes in a wide range of operating parameters and inevitable degradation of
measuring circuits parameters result in a significant
deterioration of the CPS measuring channel
performance. Thus, an operative metrological maintenance of measuring channels becomes important [1].
2. Shortcomings
CPS measurement data accumulation and
processing is performed by means of multi-channelled
measuring instruments (further MCMIs) that consists
http://www.sensorsportal.com/HTML/DIGEST/P_2719.htm
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
of measuring sensors, communicating lines (further
CLs), channel commutators (further CCs) and
measuring
instruments
(further
MIs)
(Fig. 1). The current trends of measuring systems
design seems to be the implementation the measuring
transducers that transfer the received signals into
electrical form aiming the direct computing [2-3].
Whereby, digital measuring information could be
obtained with help of the certain methods of
processing,
transmission,
storage,
reverse
transformation for the control function for CPS units.
Fig. 1. Functional scheme of modern multi-channel
measuring instruments: CC is the channel commutator; IB is
the intrinsic safety barrier; CL is the communicating lines;
IAB is the input amplification block; ID is the isolation
device; ACS is the analogue control circuit; CNT is the
instrument controller.
The low level of output sensors signals require
input amplification block (further IAB) that scales the
previously mentioned signals to normal level for ADC
operation and simultaneously converts them in a
digital code necessary for MI controllers.
Measurements in sparkproof operating conditions
and in dangerous environments envisage implementtation of some specific techniques. First, the inner
safety barriers must applied at the output sensors of
each measuring channel, and the analogue circuit of
MI has to be isolated from the digital one (Fig. 1)
[4-7]. The interference values often exceed the signal
parameters of CC channels. So standard signal
transducer (further SST), isolated amplifier (further
IA) or isolation device (further ID) it usually applied.
The systematic errors that have both significant
additive and multiplicative components emerge in
measuring circuit of such data acquisition systems
(further DASs). Error values increase in DASs with
isolated channels; therefore, it is difficult to ensure
their operation by considerable time at the certain
temperature drift [7-12].
To correct the errors of CPSs, the calibrators of
electrical quantities directly connected to measuring
channel input instead of sensors are mainly applied.
However, these calibrators are large, heavy, and quite
expensive; so their implementation is complicated
[13]. To provide the remote automatic adjustment,
currently the CPS measuring channels with embedded
devices are designed. It upraises a problem of
automatic errors correction of operating calibrators
that have to be inexpensive due to their wide use.
3. Aim of Work
The aim of this article is the development of
theoretical basis and practical guidance for providing
the high accuracy of multi-channelled measuring
instruments in operating conditions.
4. Theory and Applied Researches
The MCMI scheme (Fig. 1) for measured object
without spark and explosive environments and at the
common mode voltage lower than the CCs chip
breakdown voltage (10 V), is studied. So while
gauging spark and explosive objects, it should be used
the isolation blocks (further IBs) on the sensor outputs
of every measuring channel. It recommends an extra
electrical isolating the sensors and MCMI for
particular dangerous objects [4-7]. For this purpose,
the magnetic, capacitive, or optical means are
generally applied in the measuring circuits that
considerably decrease the error values at variable
operating condition.
The emerging ground loop can be quite large (up
to several kilo ampere) that causes the common mode
voltage up to hundreds of volts. Its values especially
increase with CL length between the ground points of
both measured facilities and MCMI. Another source
of common mode voltage can be leakage currents of
power networks that pass through measuring
equipment insulation for ground loops measured
object. That application point of common mode
voltage to the sensor is generally unknown. To
exclude above-mentioned drawbacks the relays as CC
with switching function "before turning off" for large
common mode voltage, can be used. Such scheme
practical application is inherent in a significant (up to
several millivolts) additive error component (further
AEC) caused by contact EMF at temperature drift (up
to ten μV/K). Thus, MCMI structure seems to be
similar to the design shown in Fig. 1. To reduce
significantly errors values caused by CLs and CCs,
SST converters or IA are currently applied.
Three-wire sensors connection, and screening the
CLs as well as MCMI analogue part substantially
decreases the common mode voltage [2, 7, 14]. Then
the block diagrams of MI significantly differ from
MCMI in Fig. 1.
4.1. Metrological Properties Analysis of
Classic Multi-Channel Measuring
Instruments
Output sensors signals are submitted to the CC
inputs through IB (if necessary) and CL. In addition to
the measuring signal UX, every measuring channel is
inherent in own common mode voltage. A differential
circuit of IAB is applied for reducing the common
mode voltage affects (Fig. 2).
23
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
the common mode resistance estimated for “i” CCs
channel. This error can be determined in a few tens per
cent. Taking into account the following values of
ratios Z1ixe, Z2ixe<<Zin, Z1en, Z2en, the expression for the
equivalent input resistances is defined:
Fig. 2. Equivalent scheme of channel commutator
and input amplifying block.
Relegated to MCMI input the measured voltage
Uixn in the “i” on-channel is presented below (at the
known common mode voltage Uicm applying point):
U ixn = U ix (1 + δ i )+ eie +U iI +U ixc +U ijx +U ijxc
,
(1)
where Uix is the output sensor voltage in i on-measuring channel, eie=eiCL+eiIB+eiCC is the equivalent input
offset voltage, eiCL=e1iCL+e2iCL, eiIB=e1iIB+e2iIB,
eiCC= +e1iк+e2iк, e1iк, e2iк is the residual voltage of the
first and the second on-keys CC respectively (eiCC=0
for MOS FET chip keys), δi=Zixe/Zin, Zixe=Z1ixe+Z2ixe,
Z1ixe=Z1ix+Z1iCL+Z1iIB+Z1iCC, Z2ixe=Z2ix+Z2iCL+Z2iIB+
+Z2iCC is the total resistance between common mode
voltage applying point and the first and the second
ІАВ differential inputs respectively, UiI is the
equivalent error value caused by equivalent currents
of both IAB differential inputs, Uiec is the equivalent
error value caused by common mode voltage of “i”
on-channel, Uijx is the equivalent error value caused by
the penetration of the measured voltages Ujx from
other measuring off-channel, Uijxc is the equivalent
error value caused by the penetration of the common
mode voltages Ujxc from other measuring off-channel.
AEC value UiI, caused by equivalent currents of
both differential inputs IAB, is estimated:
U iI = U1iI − U 2iI = I1e Z1e − I 2e Z 2e ,
(2)
where I1e = I1in + I i11 + I12e , I 2e = I 2in + Ii21 + I 22e is
the equivalent current values of both IAB differential
inputs accordingly, I1in, I2in is the input current of both
IAB differential inputs concordantly, Ii11, Ii21 is the
input reverse current of both CC “on” input keys at i
n
n
i =1
i =1
channel respectively, I12e =  I i12 , I 22e =  I i22 , Ii12,
Ii22 is the output reverse CC current for i on-channel,
Z1e, Z2e is the equivalent common mode resistance of
both IAB differential inputs accordingly, n is the
number of measuring channels.
We can accept that value of the input and output
common resistance of CCs approximately equal to
each other: Zi11=Zi1(1+δi11), Zi12=Zi1(1+δi12),
Zi21=Zi1(1+δi21), Zi22=Zi1(1+δi2), where δi11, δi12, δi21,
δi22<<1, δi11, δi12, δi21, δi22 are the relative dispersion of
24
Z1e ≅
Z en Z eis 
b 
Z 
 Z 2 ixe + 1ixe
 ,
1 +
Z en + 2 Z eis  Z en 
a 2 
(3)
Z 2e ≅
Z en Z eis
Z en + 2Z eis

b 
Z 
 Z1ixe + 2ixe
 ,
1 +
a 2 
 Z en 
(4)
where
Zen=(Z1e+Z2e)/2, Zen = 0,5Zi1Zc [(n + 1)Zc + Zi1 ] , Z1e,
Z2e is the equivalent common mode input
resistance accordingly, Z1e = 1 G1e , Z 2 ec = 1 G2 ec ,
Zeis=Zis+Zicm, Zis, Zicm is the common mode
resistance of i on- measuring channel and isolation
resistance
of
common
measuring
bus
(measuring “ground”) relatively MCMI grounding
n
point respectively, G1e = 1 Z i11 + 1 Z1c +  (1 Z i 21 ) ,
i =1
G2e = 1 Z i 21 + 1 Z 2 c +
n
 (1 Z ) ,
i 22
Zi11, Zi21 is the
i =1
common mode input resistance for “i”
Zi22
is
the
common
on-channel,
Zi21,
mode output resistance for i on-measuring
channel,
a=Zeis/(Zeis+Zen),
b=a/(1+a),
Z1ixe=Z1ix+Z1iCL+Z1iIB+Z1iCC, Z2ixe=Z2ix+Z2iCL+Z2iIB+
+Z2iCC, Zin is the differential input resistance, Z1c, Z2c
is the common mode input resistance of both IAB
differential inputs respectively.
Considering the expressions (3) and (4), obtain the
AEC UiI caused by equivalent input currents:
(
)
U iI ≅ ΔI e Z enb + 2 I ein ΔZ ixe 1 + a 2 (b a ) ,
2
(5)
where ΔIe=I1e-I2e, Iein=(I1e+I2e)/2, ΔZixe=Z1ixe-Z2ixe.
Caused by common mode voltage Uicm at “і” onchannel after sequence of alterations, error Uixc,
is determined:
≅
2
(
+
),
(6)
where Zixe=Z1ixe+Z2ixe, δixe=ΔZixe/(Z1ixe+Z2ixe) is the
relative dispersion of both total input resistance Zixe
IAB, δie=(Z1e-Z2e)/2Zen is the relative dispersion of
both equivalent input differential resistances IAB,
Zisx=Zicm+Zis+Zen/2.
caused by
Analysis envisages that error value
inherent in additive and
common mode voltage
asymmetrical features and depends on both
differential inputs resistances IAB (Fig. 2). For its
reduction, one should increase the insulation
resistance of the common bus IAB to the applying
.
point of common mode voltage
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
The equivalent error Uijx caused by penetration to
“i” on-channel measuring voltage Ujx from the all offchannels is equal to:
n −1 

Z in
,
U ijx =  U jx

Z in + Z jp + Z jxe 
j =1 
(7)
where
=Zjx+ZjCL+ZjIB, Zjx, ZjCL, ZjIB is the
inner resistance of sensor, CL and ІВ at j off CC
channel respectively.
The nature of this relative to the measured voltage
in “i” on-channel error is additive. For its adjustment
it can be applicable the known automatic methods.
Analysis of (7) results in the following; the error of
voltage Uijx increases proportionally to the number of
measuring channels n. For its reduction within the
MCMI classical structure should choose the CC with
a maximum high value off-resistances. However, this
kind of MCMI accuracy improvement substantially
limits imposed by the parameters of chip components.
For example, if typical values are equal to
≃109 Ohm,
≃1012 Ohm,
≪
, and the
measured voltages values approximately equal to each
≃ і weighting factor significance kijx drops
other
down in the order of value: to
≅ 0.001 at the
number of measuring channels n=2, or to
≅0.01
at number of channels n=12.
interference caused
Threshold value of AEC
by penetration of a common mode voltage
of all
the other off-channels to the “i” on-channel, gives
expression:
n −1 

 U jcm Z ixe Z jp
[k1δ ixe + k2δ ie ] ,
U ijxc =  

j =1 
 2 Z jcm Z jp + Z ieci
(
)
(8)
where Zjp=Z1jp+Z2jp is the “off” keys resistances of j
2Z jcm (Z en + 2Z is )
CC off-channel, Z ieci =
, Zjcm is the
2Z jcm + Z en + 2 Z is
common mode resistance in j CC off-channel;
2 Z en Z jcm
2 Z jcm + Z en + 2 Z is
k1 =
,
, k2 =
Z jcm + Z en + 2 Z is
(Z en + 2 Z is )2
δixe=(Z1ixe --Z2ixe)/Zixe is the relative dispersion of
equivalent resistance between the applying
point of common mode voltage and both IAB
differential inputs.
Its analysis shows that the AEC value
determined by asymmetries of input measuring
circuits MCMI in “i” on-channel and input equivalent
common mode resistances, depends on the number of
n measuring channels. Indeed, equilibration of input
measuring circuits is time-dependent. These schemes
are symmetric for a particular object and measuring
current circuit parameters MCMI in certain working
conditions. However, while measuring circuit
reconfigures or working conditions changes, this
symmetry is broken. In practice, tend to reduce the
AEC value
ensuring sufficiently high insulation
resistance
of common bus IAB at applying point
. Further minimization
of common mode voltage
of this error value is possible automatically by AEC
adjusting.
Analysis of Equations (1), (5)-(8) envisages that
the MCMI AEC substantially depends on the number
of n measuring channels. This is especially true for
equivalent values of input offset voltage, input
currents, input impedances IAB and resistances “off”
keys CC. For the relay switches, the CC
implementation can significantly diminish the
equivalent input currents and resistances impact.
However, the residual voltage relays significantly
increases AEC value. The switching channel speed
MCMI has to be small. If the electronic keys apply in
the CC, located at the MCMI input, the keys residual
voltages are eliminated only.
To diminish these errors components, is suggested
to set the smart transducer with input IAB as close as
possible to the sensor output [2, 7]. It virtually
eliminates the errors caused to CL and CC parameters
because output signals of such transducers are
standard high-level electrical signals that can
submitted straight to standard ADC inputs.
The problem of MCMI design significantly
complicates when the common mode voltage
exceeds electric strength of CC keys. Three-wire
sensors connecting and respectively reciprocal
isolation of measuring channels are recommended for
these errors appreciable minimization.
4.2. Analysis of Properties of Isolated
Multi-Channel Measuring Instruments
The relative isolation of measurement channels is
suggested due to several reasons. The first one is
necessity to protect the MCMI electrical circuits of the
measured object against spark and/or explosive
damage (Fig. 3). Additionally it needs to connect IB
to the every measuring line. The IB inner resistance
value can reach hundreds Ohms. It could cause AEC
value magnifycation due to passing the leakage
currents through the mentioned resistance. F.i. under
regulations, the insulation resistance of power
networks has not been less than 40 MOhm. Then the
passing leakage current Ір of grounded measuring
object does not exceed 220 V / 40 MOhm ≤ 5 µА.
This current can produce voltage drop UixiB=Ip(Zix+
+ZiB)=10
mV
on
the
inner
resistances
(Zix≈ZiB≤1 kOhm) of sensor and IB, which is
considered as MCMI AEC.
Isolation for every measuring channel permits
diminishing the impact of the potential difference that
emerges between grounding points of measuring
object and MCMI. These potential differences are
generated by powerful sources due to the leakage
currents passing through resistances of ground point
and earth. Their value may reach hundreds of volts
(electric transport, melting furnaces, converters) can
cause these interferences. It is impossible to exploit
switches in such conditions.
25
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
at “i” “on” measuring channel, kiA is the ІАі transducer
coefficient.
at “i” on-measuring
Input equivalent voltage
channel, due to its equivalent common mode voltage
, presents as:
U ixcA = U ic
Fig. 3. Scheme of multi-channel measuring instruments
with isolated channel.
To minimize the common mode interference,
three-wired CL connecting sensors apply. The screen
serves as a third wire, which protect two information
CL lines between the sensor output and MCMI input
(Fig. 3). By the sensor side this screen should be connected to the point of applying the common mode
voltage if it available. Moreover, it needs to connect
MCMI to the screen at the CL end. MCMI screen must
have the high insulation resistance concerning the
measuring circuit. The caused CL error significantly
rises if CL length substantially grows. Therefore, SST
implementation decreases the afore-mentioned error,
owing to the low cost chip components [2-3].
Especially it is inherent in the isolated amplifiers.
Output voltage
IA MCMI (Fig. 3) is high enough
for direct interface with standard ADC. Then the relay
keys can operate in CC unit. Output voltage
IAi is given:
expression
=(
+
+e
+
+
+
)
(1 +
+
,
)+
(9)
where e = e + e +
,
=
+
,
=
+
,
=
+
, e , e is
the offset voltage ІАі and residual voltage ІВі
,
is the input
accordingly, δinA≅ZixA/ZinA,
,
current and resistance ІАі respectively,
,
is the isolation resistances between ІАі
input and output, common bus and screen ІАі
accordingly, і ≅
/
,
=
+
)
(
+
+∑
+
is
the
equivalent output voltage IAB, eio is the offset output
voltage ІАі,
is the equivalent input voltage of “i”
on-measuring channel caused by equivalent common
=
+
,
is the
mode voltage
equivalent input voltage of “i” on-measuring channel
caused penetration of measuring voltage Ujx other offmeasuring channel,
сА is the equivalent input
voltage of “i” on-measuring channel caused
penetration of equivalent common mode voltage
=
+
other off-measuring channel,
e =e +e ,
,
is the resistance and voltage
between grounding points of ІАі and measuring object
26
Z 2ixe
Z
⋅ iek
Z icm + ZiG + Z 3iis Z 2iis
(10)
Analysis of latter clarifies at minimization of error
that should be provided firstly at
voltage value
small resistance
of screen and secondly by high
value of the screen insulation resistance
concerning the measuring scheme. From
comparing the latter equation and Equation (6) we
conclude that the error value х caused by common
mode voltage at “i” on-measuring channel is reduced
in
/
times. For example, it occurs if IA
AD210 type Analog Devices is used and is provided
the screen resistance
≤10 Ohm at ordinary values
≃
≃
of insulation resistance
240 V / 2 µA=1,2·108 Ohm [15]. Also, if select the
≤ 2500 equal to the
common mode voltage
maximum isolation voltage of the same IA type at
+
≃40 МOhm, the equivalent input voltage is
≤2500(10/1.6·108)·(103/1.2·108) ≅ 41 nV. The
х
latter is negligible for most application cases.
Reduced to an IAB input equivalent voltage х
at “i” on-measuring channel caused by penetration of
measured voltage х all the rest (n-1) CC offchannels is unable to change it comparing with value
of obtained from (7). Threshold AEC value
caused by penetration of equivalent common mode
voltage
=
+
of all off-measuring channels
at “i” on-channel compared to the expression (8)
/
times. For above-given
decreases in
conditions, adopting AEC becomes negligible mainly.
Analysis of (9) envisages that both AEC and MEC
input circuit of IA significantly affect the
measurement accuracy in working conditions. In order
to raise it, the manual zeroing and conversion factor
IA specification apply. However, while operating the
values of both factors vary substantially, worsening
MCMI accuracy.
4.3 Error Correction of Multi-Channel
Measuring Instruments
Analysis ratio of (1) to (9) helps to identify the
AEC significant affect the MCMI metrological
properties in working conditions. For their adjustment,
manual MCMI zeroing applies [15].
Usually CPS MCMIs are considered as distributed
systems, measurable objects of which are located at
appreciable distance from each other. So, suppose that
it is almost impossible to carry out instrument’s
zeroing of every measuring channel at manual mode.
To automate the MCMI error adjusting process it
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
seems to be better the inverting switching input of
gauging signals; input polarity switch would be
located as close as possible to sensor output [14, 16].
If applicable IA, this switch should be near-by the
input amplifier (Fig. 4).
During the measurement of i on-channel, the
sensor signal Uix is received with the measurement
result code Nіх:
Nix = 0.5 ( N1ix − N2ix ) =
= 0.5kiAk ADC (Uix + ΔiAx )
,
(12)
where
,
is the measurement results codes of
sensor output
signal for direct and reverse polarity
of PISXi connection, ∆ = 0.5[( А + Х )∆ Х +
∆ Х ХХ ] is the uncorrected AEC value, Х , ∆ Х is
the average value and absolute dispersion of reverse
currents
keys
PISXi
respectively,
∆ Х = Х + В + РХ , РХ , ∆ Х is the average value
resistance and resistance match between on-keys
PISXi respectively.
The determined value is transformed in:
Nix = N1ik
Fig. 4. Multi-channel measuring instruments with remote
errors correction: PISX, PISC is the polarity inverse switch
of measuring and calibration values accordingly; CU is the
control unit; CCVD is the code-control voltage divider;
SW is the switch.
In working conditions, MEC MCMI is
characterized by significant dispersion (up to ± 2 %).
Therefore, the problems in application emerge. We
propose to perform the MCMI remote calibration
basing on the code-control voltage measure (further
CCVM) located in every measuring channel. It can be
realize due to availability of modern microelectronics.
During calibrating the output signal of CCVM
Uіk=kE0i feed the measuring channel input, so the
sensor measuring output signal Uіx is disconnected.
The available set of calibration codes is transmitted to
the CCVM from CNT MSMI. Output voltage of
CCVM is converted in calibration result code Nіk,
where i is the number of channel; k takes the values 1,
2, ..., K (K is the maximum number of calibration
codes meanings).
While i on-channel has to be calibrated, it sends
the Nіk code:
Nik = 0.5 ( N1ik − N 2ik ) =
= 0.5kiA k ADC (U ik + ΔiAc )
,
(11)
where
,
is the measurement results codes of
the calibration voltage Uіk=kE0i for direct and reverse
polarity of PISC connection, E0i is the reference
voltage,
is the ADC conversion factor,
)∆
+∆
] is the
∆ = 0.5[( А +
, ∆
is the average
uncorrected value AEC,
value and absolute dispersion of reverse currents keys
,∆
is the average value
PISCi respectively,
resistance and resistance match between channels
“on” keys PISCi accordingly.
U  Δ −Δ 
Uix + ΔIAx
= N1ik ix 1 + IAx IAc 
Uik + ΔIAc
Uik 
Uik

(13)
MCMI MEC depends on performance of the
reference voltage Еоі and on the CCVD conversion
coefficient k. For the estimation of uncorrected errors
limit we take the ordinary values for ADG787 switch
[17] ( А =30 nA max,
≃20 nA max,
Х ≃
≃
≃ 3.35 Ohm max, ∆ Х, ≃0.1 Ohm),
≃0.05
≃
Х+
В ≤1 kOhm max, ∆ Х ≃ ∆
≃5·10-2·2·10-8=1 nA, then ∆ ≃4 nV, ∆ ≃0.1 V.
By performed while calibrating procedure the AEC
uncorrected values become negligible for practical
requirements. Then remains the unadjusted AEC, and
its value is determined during the measurement by the
total resistances of the sensor and IB, and also by the
reverse currents differences of on-keys PISX and
PISC. Studies envisaged that this difference does not
exceed several per cent for modern MOS chips. So, it
can be realized accurate MCMIs.
To insure high accuracy in working conditions, we
propose method of remote calibration. It should be
measured the actual output voltage
for k different
factors of division in every measuring channel at
training stage of MCMI (on the step of adjustment).
All K values of output voltages к are measured by
accurate voltmeter for every of k division factor
getting the codes array Nuik. Then the same voltage
values
are measured by MCMI and received other
. In MCMI memory the high-mentioned
codes
array Nuik by known method is entered and the
/Nuik is
appropriate calibration coefficients Kik=
computed. They are fixed in MCMI memory and
further apply at determination of the measurement
result code
:
Nix = KiKUix
(14)
Reference voltage values К =kEoi of CCVD vary
during work. To reduce the impact of these
changes, must be selected the stable electronic
components, for example, with parameters of
27
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
reference voltage Еіо ⁄ ≤ ±2 ∙ 10 1/
and
CCVD і ⁄ ≤ ±2 ∙ 10 1/ in the temperature
range -25...+85 oC [18-19]. Then changing values к
and therefore Кік would not exceed ±0.026 %. This
range of variation is satisfactory for measurements.
The high temperature stability of suggested CCVM
structure and the individual calibration possibility
while debugging make it possible to obtain reference
voltages within wide range, from a few millivolts to
nearly reference voltage.
The same feature can apply to verify the MCMI
metrological properties directly on-site by the portable
CCVM. During adjusting it should be accurately
gauged the k output measures к for every measuring
channel. As regulations require, these points have to
be arrange evenly along the measuring range. Value
that is close to the maximum measuring range, can be
used as a working standard at i on-measuring channel.
MCMI on-site verification by means of CCVM
excluding measuring sensors, assures the particular
possibility of metrological checking of all channels.
Portable CCVM is protected against varying operation
conditions by implying the protective and preventive
methods. Obviously, it needs to develop appropriate
software for the prompted method implementation.
4.4. Experimental Investigations of Code
Control Voltage Measure
A number of MCMIs has been implemented
before, and their metrological maintenance is not
sufficiently correct. Indeed, for quick calibration
already active MCMIs the market offers several types
of portable calibrators. Their main drawbacks are
complexity and necessity of calibration results
correction caused by possible changes of working
conditions.
Simultaneously
calibrators
drift
themselves, and there emerge the contact EMFs in
connection points to MCMI. To avoid them, we
suggest the voltage calibrator (further VC) with error
self-correction (Fig. 5).
The foundation of AEC automatic adjustment
bases on two synchronous polarity switches operation
that are located at the input and output of calibrator
PIS1 and PIS2 respectively. The output voltage VC
averaging follows this step.
The averaging can be carried out both in digital
form and in analogue form when using LPF. Then the
digital processing of results is the sum of even number
of output signals VC conversions. For PIS1 and PIS2
one polarity of calibrator output voltage Uk1і we
receive:
U k1i = μiH [E0 H + e1 ]( 1 + δ μ i + δ E ) + e2 ,
while for the other polarity is defined Uk2і:
U k 2i = μiH [E0 H − e1 ]( 1 + δ μ i + δ E ) − e2 ,
In working conditions, calibrator requires the
periodic
manual
AEC
adjustment,
which
prolongs duration and complexity of metrological
works. In such way, we propose to provide the AEC
automatic correction.
28
(16)
where μіН is the nominal code of CCVD (DAC), Е0Н
is the nominal value of reference voltage, δμі, δЕ is the
relative error of CCVD and reference voltage
respectively; e1, e2 is the AEC buffers of input and
output voltages respectively.
At averaging, the output voltage value Ukі of calibrator for the current code μі, is determined as:
U ki = 0 ,5(U k 1i + U k 2i ) = 0 ,5 μiH E0 H ( 1 + δ μ i + δ E )
(17)
Results of modelling of designed scheme
coincided with experimental results. In experiments,
for calibrator was selected reference voltage with
output voltage E0=100 mV, and DAC codes change
from 0 to 1 in increments of 0.25. To test the AEC
impact on the obtained results we have been submitted
е1, е2 = 15 mV from the stable power supply. It was
received two sets of experimental results: output
CCVM voltage without AEC, UК1, mV and the output
CCVM voltage with AEC source, UК2, mV (Table 1).
Table 1. Investigation results of code control voltage
measure experimental unit.
No.
1.
2.
3.
4.
5.
Fig. 5. Scheme of portable code control measure with
automatic errors correction: PIS1, PIS2 is the first and the
second polarity inverse switch, LPF is the low pass filter,
G is the correction frequency generator, μ is the control code
of CCVD.
(15)
μН
0
0.25
0.5
0.75
1
UК1, (mV)
-0.003
25.007
50.015
75.023
100.031
UК2, (mV)
-0.003
25.007
50.014
75.022
100.031
The AEC imitator values are selected a priori more
the possible values of equivalent offset voltage amplifiers, which use in the calibrator scheme. Simulator
equivalent voltage AEC housed in various
characteristic points layout VC, namely the inputs,
outputs and all feedback loops of operational
amplifiers. Discrete resistor voltage divider is used.
The CCVM output voltage is measured by multimeter
Picotest M3511A, which has those technical
parameters as measurement range DCV 100 mV,
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 22-29
accuracy 0.012 % in 1 year, least significant digit at
average 1 µV.
If the experiment results analysis shows, that
numeric data at the third and the forth columns Table 1
not
differ
by
more
than
one
least
significant digit of using voltmeter (±1 μV). This
confirms the theoretical assumptions for the
possibilities of remote automatic calibration of
measuring channels MCMI CFS.
5. Conclusions
1) Basic error factors of multi-channel measuring
instruments due to equivalent input voltages and
currents shifts, the influence of the switch channels,
connecting lines, non-informative parameters of
sources of measuring signals, common mode voltages,
measured voltage penetration of other disconnected
channels are considered. It is shown that the errors
inherent in multi-channel measuring instruments with
isolated channels can significantly exceed the similar
ones of traditional structures.
2) Remote adjustment errors for developed multichannel measuring instruments of CFS are suggested
to carry out by means of embedded code-control
voltage measures. For both multichannel measuring
instruments and embedded code-control voltage
measures, the additive error components correction is
proposed to perform by inverted switching
implementation. For multiplicative error component
correction is suggested to implement code-control
voltage measures based on stable voltage reference
source and DAC multiplier.
3) For on-line errors correction of multichannel
measuring instruments, the portable and compact
code-control voltage measures with implementation
of the input signal double inverting method are
suggested. As result, the obtained additive error value
does not exceed ±1 μV ensuring the high accuracy and
stability of mentioned instruments for CPS operation.
Acknowledgement
The scientific results, presented in this article,
were obtained in the frame of research project number
0115U000446, 01.01.2015 - 31.12.2017, financially
supported by the Ministry of Education and Science of
Ukraine.
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& Sons, Ltd, 2008.
[3]. J. W. Gardner, V. K. Varadan, O. O. Awadelkarim,
Microsensors, MEMS, and Smart Devices, John Wiley
& Sons Ltd, Chichester, England, 2001.
[4]. ATEX directive 2014/34/EU, Decision No.
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Inc., 2015, (http://www.analog.com/en/applications/markets/instrumentation-and-measurement.html).
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CT
06907,
1-888-TC-OMEGA
USA,
(http://www.omega.com/techref/pdf/dasintro.pdf).
[11]. Data Acquisition (DAQ) Fundamentals, Application
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(http://physweb.bgu.ac.il/COURSES/SignalNoise/dat
a_aquisition_fundamental.pdf).
[12]. Data Acquisition, Cole-Parmer Instrument Company,
2015, (http://www.coleparmer.com/Category/Data_
Acquisition/741).
[13]. Fluke Multifunction Calibration Tools, Fluke Inc.,
2015. (http://en-us.fluke.com/products/multifunctioncalibrators/)
[14]. V. Yatsuk, P. Malachivsky, Methods of Increase of
Measurement Accuracy, Beskyd-bit edition, Lviv,
2008 (in Ukrainian).
[15]. Precision, Wide Bandwidth 3-Port Isolation Amplifier
AD 210, Analog Devices Inc., Web Portal
(http://www.analog.com/media/en/technicaldocumentation/data-sheets/AD210.pdf).
[16]. Yatsuk V., Stolyarchuk P., Mikhaleva M., Barylo G.,
Intelligent Data Acquisition System Error Correction
in Working External Conditions, in Proceedings of the
3rd IEEE Workshop on Intelligent Data Acquisition
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(IDAACS’05),
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[17]. 2.5 Ω CMOS Low Power Dual 2:1 Mux/Demux USB
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
29
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 30-36
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Metrological Array of Cyber-Physical Systems.
Part 12. Study of Quantum Unit of Temperature
Svyatoslav YATSYSHYN, Bohdan STADNYK
National University ‘Lviv Polytechnic’, Institute of Computer Technologies,
Automation and Metrology, Bandera str.12, Lviv, 79013, Ukraine
Tel.: +38-0322-37-50-89
E-mail: [email protected]
Received: 30 August 2015 /Accepted: 28 September 2015 /Published: 30 September 2015
Abstract: The reference measure of temperature may be embedded in appropriate unit of Cyber-Physical System.
Whereas this measure made on the basis of fundamental constants of matter would be installed in such System,
the latter will get an extra precision. It is shown that metrologically correct Kelvin redefinition which would be
changed by CODATA to 2018 is insufficient to create a Temperature Standard on the basis of fundamental
constants of matter. New approach to the mentioned Standard and firstly to the Quantum Unit of Temperature is
developed. Copyright © 2015 IFSA Publishing, S. L.
Keywords: Cyber-physical system, Quantum unit of temperature, Kelvin redefinition, Quantum standard
of SI units.
1. Introduction
Cyber-Physical System technologies (further CPS) have to utilize the sophisticated metrology
equipment for production lines. This involves the
estimation of the comparability of CPS measurement
instrument by self-verification. Development of
portable, highly-precise devices is able to provide inplace precision measurements. The studied quantum
standard may be recommended firstly to apply as
intrinsic standard; such a standard does not need
permanently recurring measurements against the
realization of the SI unit in order to validate its
accuracy. Intrinsic standards are important
instruments in disseminating accurate measurements
in an efficient way for instance in CPS operation.
At the end of last century there were successfully
implemented the atomic (molecular) standards of SI
units. As result of quantum discreteness qualities
30
extend in nanosphere, for example, the ability appears
to realize not only measuring instruments but to create
also the standards of measurands.
Currently temperature remains the last only value
among seven main units of International unit system
that is still not regulated at the atomic (molecular) and
hence much higher level in terms of accuracy.
2. Shortcomings
New created CPSs often require self-verification of
temperature values to ensure their quality work. The
existing standards lose accuracy characteristics by
several orders while uploading them to the end user
that is actually considered a normal metrological
practice. However, such practice cannot be deemed
adequate for the advanced machines. So, they need the
development of intrinsic standards of temperature that
http://www.sensorsportal.com/HTML/DIGEST/P_2720.htm
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 30-36
could be embedded into CPSs ensuring their precision
operation.
3. Goal of the Work
Goal of the work consists in the provision of the
temperature support for Cyber-Physical System
operation by the studied temperature-measuring
instrument of a new generation, namely considering,
after CODATA redefinition of the “Temperature”, the
next step in creating the Quantum Unit of Temperature
based
on
the
fundamental
constants
of matter.
4. Primary Thermometry and Quantum
Units of Temperature
and the relative offset from the CODATA 2010
value is +1.9×10-6 [3].
Considering the mentioned primary methods of
temperature determination and having determined
Boltzmann constant with a very small error, scientists
could develop the unit of a temperature scale due to
the energetic/power unit, endued with a certain
determination error. Unfortunately, these hard works,
details of which were descript earlier in [3, Table 1
(Summary uncertainty budget for a determination of
Boltzmann constant by QVNS thermometry)],
practically not eliminate the major principal
shortcoming. It consists in the necessity to calibrate
thermometer at TPW temperature. Other researchers
are unable to get rid of traditional calibration and only
replace the outdated method by the modern one.
Nevertheless the replacement of the temperature
measuring instruments for the energy ones will raise
especially severe difficulties precisely in the area of
ultralow energies gauging [4-5] that can be associated
with minimal energy (temperature) unit.
4.1. Quantum Energetic Unit
In the chain of leading metrological centers (USA,
GB and other countries), through several years the
intensive endeavors of elaborating and assuring the
unit of temperature scale in the form of a quantum
energetic unit (minimal by size a discrete value of
energy or heat energy that can be defined, established
and fixed by the experimenter) are carried out at the
high methodological level [1]. The recommended by
Ia. Mills, et al. [2] new format of unit with new
definition is the next. The kelvin, K, is the unit of
thermodynamic temperature; its magnitude is set by
fixing the numerical value of the Boltzmann constant
to
be
equal
to
exactly
1.380 65 … ×10-23 when it is expressed in the
unit s-2m2kgK-1, which is equal to J·K-1.
The effect of proposed definition is that the kelvin is
equal to the change of thermodynamic temperature
that results in a change of thermal energy kT by
1.380 65 … ×10-23 J/K. Then using k rather than TTPW
to define kelvin better reflects modern practice in
determining thermodynamic temperature directly by
primary methods, particularly at very high and
low temperatures.
The unit of thermodynamic temperature, the
kelvin, will be redefined in 2018 by fixing the value of
the Boltzmann constant, k. The present CODATA
recommended value of k is determined predominantly
by acoustic gas-thermometry results. To provide a
value of k based on different physical principles,
purely electronic measurements were performed by
using a Johnson noise thermometer to compare the
thermal noise power of a 200 Ώ sensing resistor
immersed in a triple-point-of-water cell to the noise
power of a quantum-accurate pseudo-random noise
waveform of nominally equal noise power.
Measurements integrated over a bandwidth of
550 kHz and total integration time of 33 days gave a
measured value of k=1.3806514(48)×10-23 J/K, for
which the relative standard uncertainty is 3.5×10-6
4.2. Classic Set of Primary Methods
of Thermometry
Primary thermometry envisages that particular
measuring instrument concerns the concrete
measurand (T) that can be defined by the calculating
the gained results excluding other unknown quantities
and applying only fundamental constants of matter as
proportionality factors. Secondary thermometry
develops the methods of measurement of another kind
temperature than thermodynamic one or the methods
using any dependence of properties on temperature,
and then some points of received dependence are
ascribed the certain values of thermodynamic
temperature.
The classic set of primary methods includes five
methods of thermometry: noise, gas, acoustic, optical,
and magnetic. Those methods are based on the fundamental physical laws whose mathematical descriptions
comprise the thermodynamic temperature. Among
them the gas and optical thermometry have gained
widest application in the reproducibility of
thermodynamic temperature. The last problem is
particularly inherent in Nanothermometry where
methodical errors rise when the thermal capacities or
sizes of the thermometry-processed body and the
thermometer become comparable [6].
Noise method of thermometry still remains in a
state of metrological elaboration. In the conditions of
durable development of nanotechnology with its unrepeatable measurements the uncertainty accumulation
causes a substantial decrease in authenticity of
information extracted from the received experimental
results. From Johnson-Nyquist equation we could state
that the concrete and precise determination of rootmean-square voltage and hence electric power implies
the usage of a studied object with a priori known value
of electric resistance. At precisely defined Boltzmann
31
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 30-36
constant a relative instrumental error of the measured
voltage is formed as the sum of notified values: the
relative errors of determining object resistance and
temperature, and also the relative error of specifying
frequency bandwidth of measurement. It indicates the
undoubted advantages (resistance and temperature are
known with high accuracy) of employing the
substance of its sensitive element in systematic noise
studies. Recently the considered method is
implemented as second one in addition to acoustic gasthermometry method aiming the determination of the
Boltzmann constant and trying to introduce the
metrologically obvious step in redefining the notion
“Temperature” by CODATA.
The noise method is increasingly applied in
Nanothermometry [7]. Particular attention is paid to
the investigation of 1/f γ electrical noise and especially
to their connection with changes of entropy of studied
thermodynamic system [8], including the nanodimensional system [9]. Similar results were obtained by us
in [10]. The deduced equation of noise thermometer
transformation function relates the power of electric
noise Pel with the thermodynamic temperature Т
through the dissipation rate of entropy dS/dt:
T
dS
dN
= −eφ
= Pel ,
dt
dT
(
)
ΔT is the change of monocrystal temperature. It
enables to obtain more exact temperature readout at
known temperature dependence of Raman shift ν 0 .
Raman thermometer with CNT calibration artefacts is
characterized by high accuracy and is inherent in
possibility of in-place self-calibration [11].
Magnetic method of thermometry is the method
of measuring temperatures lower than 1 К. It is based
on the temperature dependence of magnetic
susceptibility χ of a paramagnetic substance.
Gas method of thermometry operates basing on
volume expansion effect of substance. Here the
measuring temperature changes ΔT are proportional to
the changes of Sensitive substance volume. This
method seems to be a separate issue that requires a
special approach.
Acoustic method of thermometry is not
considered by the fact that in this article
we study only the methods related to electronphonon interaction.
(1)
where е is the electron charge; N is the amount of
charge carriers. Inside the researched substance the
latter could be estimated by following the thermodynamic approach. Earlier we have followed from the
most probable physical processes in sensitive
dS
ΔS
substance under the given conditions that:
,
≈−
τ
dt
here ΔS is the entropy changes taking place as
consequence of a relaxation process with constant τ.
Raman method of thermometry is a contactless
temperature-measuring method. The measurement of
the solid body surface temperature with taking advantage of a Raman phenomenon is related to one of few
methods of primary thermometry being realized with
the help of a thermometer whose state equation could
be written in an explicit form, avoiding the
involvement of unknown constants dependable on
temperature. The given method helps to measure the
temperature for objects ranged from 100 nM to
100 µM as well as within this from cryogen till midhigh temperatures, which in addition does not demand
calibration before measurement, could be
distinguished.
For
instance,
temperature
measurements are made by exciting the quantum dots
with a laser, to obtain their emission spectra. The
similar application of Raman thermometer hits in
measuring the temperature and diameter of carbon
nanotubes. Raman thermometer in Nanothermometry
is the thermometer which due to small diameter of the
He-Ne or another laser of continuous action enables to
reduce the size of a thermometring zone to tens µm
and lesser. Raman method gives opportunity of
electron-phonon interaction study. Wave number of
32
optical phonon of Stokes component is strongly
dependent on temperature. For example, for silicon
monocrystal this dependence in the temperature range
300 ... 400 K is linear: ν 0 cm−1 = 0,025ΔT , where
4.3. Promising Methods of Thermometry
Coulomb blockade thermometer is the primary
thermometer based on electric conductance
characteristics of tunnel junction arrays. The
parameter U½=5.439NkBT/e (kB is the Boltzmann
constant), the full width at half minimum of the
measured differential conductance dip over an array of
N junctions together with the physical constants,
provide the absolute temperature [12]. So, half width
U1/2 depends only on the constants of matter and
known parameter N that seems to be quite close to
design of primary thermometer based on fundamental
constants of matter.
A typical Coulomb blockade thermometer is made
from an array of metallic islands, connected to each
other through a thin insulating layer. A tunnel junction
forms between the islands, and as voltage is applied,
electrons may tunnel across this junction. The
tunneling rates and hence the conductance vary
according to the charging energy of the islands as well
as the thermal energy of the system. In order for the
Coulomb blockade to be observable, the temperature
has to be low enough so that the characteristic
charging energy (the energy that is required to charge
the junction with one elementary charge) is larger than
the thermal energy of the charge carriers. For
capacitances above 1 femtofarad (10−15 farad), this
implied that temperature has to be below about
1 kelvin. This temperature range is routinely reached
for example by 3He refrigerators.
Thanks to small sized quantum dots of only few
nanometers, Coulomb blockade has been observed
currently above liquid helium temperature, up to room
temperature.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 30-36
Free electron gas primary thermometer is based
on bipolar transistor, temperature of which is extracted
by probing its carrier energy distribution through its
collector current, obtained under appropriate
polarization conditions, following a rigorous
mathematical method. The obtained temperature is
independent of the transistor physical properties as
current gain, structure (homo-junction or heterojunction), and geometrical parameters, resulting to be
a primary thermometer.
This assumption has been tested using off the row
of silicon transistors at thermal equilibrium with water
at its triple point. The obtained transistor temperature
values involve an uncertainty of a few milli-Kelvins.
Further free electron gas primary thermometer has
been successfully tested in the temperature range of
77…450 K [13].
Remark: we are inclined to consider in this paper
the Transistors, FETs or other micro- and
nanodimensional electronic devices as quasidotted objects.
Rather complicated Josephson junction noise
thermometer is a thermometer, operation principle of
which is built on the Josephson Effect and readouts are
proportional to thermodynamic temperature (further TT). This thermometer can be obtained by means of
Josephson element, which contains two superconducting plates separated by a thin oxide layer. An element
is switched in measuring circuit through a point
contact between sharpened wire and plate of the
superconducting substance. Charge carriers of element
may exist as the electrons that are scattered by lattice,
and as Cooper pairs that create the superconductivity
effect, but are not scattered by a lattice [14]. Due to
tunneling, electrons as well as Cooper pairs would
flowed through oxide layer resulting in emerging a
stationary (DC of superconductivity that not exceed
particular value I0 can pass through the oxide layer
without voltage drop) and a non-stationary Josephson
Effect. The latter consists in emerging the oscillations
at frequency f 0 = 2e u 0 , where h is the Planck
h
constant, while the DC voltage u0 is applied to
Josephson element. Therefore it becomes a generator
of sinusoidal current. Thermal noise that arises in the
Josephson element creates the current pulsations
resulting in monochromatic frequency blurs of signal.
Since the thermal noise inherent in a normal
distribution, then extend of signal frequency mode has
a typical bypass of Gaussian curve. Half-width of the
spectral line of thermal noise in Josephson element,
measured by radio spectrometer, is given by the
equation
Δ f 0 = 4π k BT r (
2e 2
Ir
) (1 +
),
h
u0
where T is the TT, r is the resistance, which shunts the
element in measuring scheme, I is the current that
passes through the element.
5. Investigation in Creating the Quantum
Unit of Temperature
Temperature in nanothermometry is the statistically formed value of quantity, determined by the
inner energy of a body of sufficient sizes for purpose
of applying the thermodynamic consideration to this
body. It seems to be one of the fittest terms among the
considerable number of temperature definitions which
try to identify temperature in nanothermometry. A
thermodynamical notion of temperature is related to
heat exchange between two systems. The quality of
supplying or not to the balance among themselves
under some predetermined conditions pertains to all
macroscopic systems. The necessity to characterize a
state of thermodynamic systems by some specific
quantity becomes obvious. So, a notion
“Thermodynamic temperature” has been introduced
for this purpose. The objective measurement of
temperature is possible due to the transitivity of a
thermodynamic equilibrium. Therefore there is a
possibility to compare the object temperatures among
themselves without the objects’ per se contact. Current
definition of the unit of thermodynamic temperature,
kelvin, is based on a material artifact, namely, the
triple-point-of-water temperature [15, p.175]. The
latter depends on the isotopic composition, purity etc.
and therefore is not precise value. It can be realized
with uncertainty about 10-7.
Temperature as a physical value that characterizes
the inner energy of bodies is not being measured
directly nowadays. All usable measuring instruments
transform temperature in some other physical value
that could be used immediately. Temperature that is
defined by indices of a thermometer of concrete type
is named the empirical temperature. Developing the
apparatus of statistical physics, try to link the term
“Temperature” with basic constants of microphysics,
on the one hand, and threshold sizes of nanoparticles
where this notion is still applicable, on the other hand.
The special significance is bestowed to the definition
of the minimal particle size where the notion “local
temperature” could be adopted, i. e. the temperature at
which a part of thermodynamic system remains in a
canonical state, and the energetic distribution of
electrons corresponds to the exponentially falling oneparametric function.
In the world of nanotechnology the combination of
measuring technologies and theoretical research is
getting more and more significant, since it concerns a
single non-repeated measurement. So, everybody try
to ensure himself the final measurement result by the
next generation of Standards [2] and by introducing a
number of metrological procedures such as selfverification, self-validation and self-calibration [16].
It is discussed below the possibility of researching
the most contemporary measure of temperature on the
basis of fundamental constants of matter with
involvement of the Standard of electrical resistance on
the basis of Inverse of Conductance Quantum [17] as
well as the Standard of voltage based on the Josephson
junctions [12] that can produce voltage pulses with
33
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 30-36
time-integrated areas perfectly quantized in integer
values of h/2e. The synthesized voltage is intrinsically
accurate because it is exactly determined from the
known sequence of pulses, the clock frequency, and
fundamental physical constants.
Thus, we consider the investigation of the
electrical resistance value of which is based on
Klitzing constant, and of the electrical voltage
standard on the Josephson Effect for exact frequencyto-voltage conversion, combined with the clock. As
the mentioned resistance we propose to study one of
widespread FET constructions, namely the CNTFET
with built-in CNT [18] which has to be
superconductive. Source and drain have to be
manufactured from dissimilar metals that form the
thermoelectric
pair
through
the
CNT.
The latter, being in superconductive state, is
inherent in resistance which corresponds to
25812.807 557 ± 0.0040 Ohms, due to transient
resistance of contacts. While studying the dissipation
of electric power ( I 2 R = U 2 / R ) on such an electric
resistance in temperature measurement area:
3
E = U 2 Δt / RKl = I 2 RKl Δt = N k BTa,
2
(2)
was noted that we are able to estimate the change of
ΔQ Ne
=
TT T, or substituting this equation by I =
Δt Δt
(Δt is the time period) we clarify it to:
( Ne)2 h
3
Δt = N kBT ,
2 2
(Δt ) e
2
Otherwise, the temperature increment reduced due
to one-electron relaxation on phonon of the superconductive CNT junction with source/drain and due to
unit time application is defined only by fundamental
constants of matter (h and kB); it is equal to 2h·1s./3kB
=3.2 ×10-11 K.
Hence, the proposed in [2] figures regarding interrelation and inter-definition of basic SI units and the
principles of study of the mentioned units through the
fundamental constants of matter are modified by the
results of the performed study (see Fig. 1 and Fig. 2).
Fig. 1. Interrelation and inter-definition of basic SI units:
blue arrows show the revealed relationship
of the studied unit T with unit I,A
(by unit V and unit R) and with unit t,s.
(3)
when the electrical current is formed per unit time by
3
N conduction electrons that transfer the energy k BT
2
to the atoms of matter. From here the TT jump ΔT at
current transmission I through superconductive CNT
(cooling is considered to be negligible), is defined as:
ΔT =
2 hN
2 hI
=
,K
3k B Δ t 3k B e
(4)
On condition of power supply from Johnston junctions array it appears an opportunity to pass a discrete
particular number of electrons through nanotube of
FET. Then the resulting value of the temperature
increase
of
atom
reduced
to
one
electron that was scattered on its phonon at the
unit time is identified as Reduced Quantum Unit
of Temperature:
ΔT
Δt →1 s .
N →1
= TUR =
2h
3k B
K 
 s.  ⋅1[ s.] =
= 3.199 49342 ⋅10 −11 ≈ 3.2 ⋅10−11 [ K ]
34
,
(5)
Fig. 2. Principles of mentioned units study through the
fundamental constants of matter: elimination
of interrelation between unit m and unit T as well as the
emergence (blue arrow) of interrelation
between unit I,A and unit T,K.
In such a way the Reduced Quantum Unit of
Temperature that is independent of kind of matter
and recommended in the creation of Temperature
standard, can be regarded. It would be the Standard
based on a 2 quantum effects (von Klitzing Effect and
Josephson Effect) and, having been measured against
the SI system of units, has a certain value with
uncertainty determined by sum of 2 uncertainties: of
Planck constant and of Boltzmann constant [19] which
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 30-36
together make its total relative uncertainty value that
equals to 59.2×10-8. The last value also includes the
relative standard uncertainty of atomic unit of time
that is 5 orders of magnitude smaller (5.9×10-12 [19])
and therefore is neglected at this stage of study.
Operating mode is as follows. The studied
appliance is propose to supply by short (~10-3 s.) pulse
voltage consequences, effect of which is measured at
the 2nd stage at power absence. Measuring temperature
with minimal methodical error is easiest with the builtin thermocouple. It's enough at manufacturing the
CNTFET to make source and drain from two
dissimilar conductive metals (f.i. Ni and Cu).
Superconductive CNT as the 3rd intermediate body
forms a quasi junction of produced thermocouple.
6. Conclusions
1) Advances in Cyber-Physical Systems are
impossible without the temperature gauging that
demands the continuous development of experimental
techniques due to progress in Thermometry and
Nanothermometry, namely in creation of Temperature
Standard.
2) Expanding the set of Quantum Standards of the
SI units towards the study of major pillars
of the Temperature Standard on the basis of
fundamental constants of matter, becomes possible as
a result of emerged opportunities of unique electronic
devices, in particular Resistance Standard (on the basis
of Inverse of Conductance Quantum) and Voltage
Standard (on the basis of Josephson junctions array)
combined in addition with the Cesium Frequency
Standard.
3) Researching the foundations of creation of the
Quantum Unit of Temperature envisages the minimum
value of temperature jump caused by electron relaxation on phonon as quasiparticle of atom which is the
smallest constituent unit of ordinary matter.
4) It is proved that the Reduced Quantum Unit of
Temperature is determined by the electric energy
dissipated on CNTFET contacts at passing a current,
via ratio of h and kB. The above given RQUT is equal
to 3.199 493 42×10-11 K with relative standard uncertainty 59.2×10-8 (at one electron relaxation per
unit time).
Acknowledgments
Authors would like to thank the National
University ‘Lviv Polytechnic’ and the Rector,
Prof. Yu. Bobalo for the comprehensive support.
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[13]. J. Mimila-Arroyo, Free electron gas primary
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 37-43
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Experimental and Modelling Study of a Piezoelectric
Energy Harvester Unimorph Cantilever Arrays
Almuatasim Alomari and Ashok Batra
Department of Physics, Chemistry and Mathematics (Materials Science Group)
College of Engineering, Technology, and Physical Sciences
Alabama A&M University
Normal, Alabama 35762 USA
Received: 8 August 2015 /Accepted: 10 September 2015 /Published: 30 September 2015
Abstract: The electrical output parameters and mode shapes of multiple piezoelectric unimorph cantilever beams
(UCB’s) with same thickness and different length reported and examined. Connecting arrays of 5 commercial
unimorph beams made of polyvinylidene difluoride (PVDF) in series showed widening in the bandwidth and
increasing in the power magnitude of energy harvester comparing to single unimorph beam. The output power
was increased from 2 µW to 5 µW and the bandwidth was widened from (47, 55) Hz to
(22, 88) Hz. Finite element analysis (FEA) was used to investigate about the first fifth mode shapes of the
suggested system using COMSOL multi-physics, with a good agreement between model and experiment.
Copyright © 2015 IFSA Publishing, S. L.
Keywords: Piezoelectric, Unimorph, PVDF, Mode shapes, Modelling, FEA, COMSOL.
1. Introduction
The power that is produced by scavenging
vibration energy can be useful in many applications
such as, wireless sensor networks, microelectromechanical systems (MEMS), and biomedical sensors
[1-5]. Piezopolymer materials (such as PVDF) are
getting interest during excellent piezoelectric
properties and arbitrary configurations such as, curved
surfaces, and be embedded in a MEMS. Increasing the
Power and the bandwidth of piezoelectric harvesters
have been the topic of most publications in recent
years. In order to enhance the maximum output power
and operational bandwidth of piezoelectric energy
harvesters, researchers have developed a variety of
techniques based on, varying shape of structure beam
using an L-shaped flexible structure [6-8], adding an
additional impendence between the piezoelectric
harvester and load resistance [9-12], using dual-mass
systems [13], changing the cross-section of a dynamic
http://www.sensorsportal.com/HTML/DIGEST/P_2721.htm
magnifier [14] using an energy harvester with a
dynamic magnifier [15-17], and using energy
harvesting cantilever arrays [18-19]. Generally, a
single unimorph piezoelectric cantilever is attached to
a base excitation is characterized as a single degree of
freedom (SDOF) piezoelectric energy harvester
system (PEHS). Researchers reported [20-21] that the
SDOF is valid only for harvesting energy in a region
close to its resonance frequency. Different from single
UCB, multiple cantilevers or cantilever arrays
integrated in on energy harvesting device as seen in
this work can easily achieved continuous wide
bandwidth if the geometric parameters of the harvester
are appropriately selected [22]. In a continuous effort
of increasing a power and bandwidth of a piezoelectric
harvester arrays a 3 piezoelectric bimorph cantilevers
with the same dimensions but with different tip masses
have been developed and studied [18]. The results
showed the possibility of the system to work in
different frequency ranges, and to widen the overall
37
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 37-43
equivalent bandwidth of the converter array. A
multiple piezoelectric bimorphs (PB) with different
thickness of piezoelectric layers have been reported
and tested experimentally and numerically. They
found that the bandwidth of their PB array
configuration could be tailored by choosing an
appropriate connection pattern (mixed series and
parallel connections) [19]. Different energy harvesters
with cantilever array were also implemented
compatibly with current standard MEMS fabrication
techniques [23-26]. A unimorph cantilever beam
(UCB) configuration in simple form includes one
piezoelectric layer and one shim layer which is
commonly showing a single resonance frequency at
each natural mode shape. A multifrequency energy
harvester devices are easily achieved by integrating
multiple cantilevers or cantilever arrays in one
cantilever beam [27-28]. We demonstrate in this paper
the electrical output parameters and mode shapes of a
5 commercial piezoelectric unimorph cantilever arrays
with same thickness and different length integrated in
aluminum beam.
Fig. 1. Experimental setup used for the frequency response
measurements of a unimorph cantilever arrays (photos
by A. Alomari, 2015):
(1) Shaker with an accelerometer (Bruel&Kjaer 4810) and
the cantilever arrays;
(2) Laser vibrometer (Microtrack II) MTI;
(3) Fixed gain amplifier (Bruel&Kjaer 2718);
(4) Control function generator (GF8046 ELENCO);
(5) Digital multimeter (Keithley 2110);
(6) Variable resistances box;
(7) Picoscope;
(8) Data acquisition system.
2. Experimental Results and Analysis
In this section, we present experimental results of
our design of energy harvester. A parametric study
was undertaken using the experimental setup shown in
Fig. 1. Energy harvesting measurements were carried
out initially by attaching a commercial polyvinylidene
fluoride (PVDF) unimorph cantilever beam at the front
of Teflon base, the configuration shown in Fig. 2(a).
The second configuration involved attaching multiple
polyvinylidene fluoride (PVDF) unimorph cantilever
beams or arrays at the front of aluminum cantilever
beam, as shown in Fig. 2(b). Both devices were then
connected to a shaker system. The dimensions,
electrical, mechanical properties of cantilever beams
are shown in Table 1.
(a)
(b)
Fig. 2. Close views of the proposed system tested
under base excitation (a) single UCB (b) multiple UCB’s
(photos by A. Alomari, 2015).
Table 1. Properties of cantilever beams investigated.
Type of beam
Length (mm)
Width (mm)
Thickness (mm)
Young's modulus (GPa)
Density (kg/m3)
Aluminum beam
Lm=100
wm=24
hm=0.5
Em=69
ρm=2700
Dielectric constant
-
ε 33T =12
-
Piezo strain coefficient (10-12 C/N)
Capacitance (nF)
-
d31=23×10-12
Cp=2.7
-
Fig. 3 shows the frequency response functions
(FRF) of output voltage and average output power for
single UCB at various load resistance. It can be shown
from Fig. 3 that there is only one peak which
represents the resonance frequency of UCB. The
38
Piezoelectric unimorph cantilever beam
PVDF layer
Polyester layer
Lp=41, 39, 37, 35, 33
Ls=41, 39, 37, 35, 33
wp=16
ws=16
hp=0.25
hs=0.25
Ep=4
Es=8.3
ρp=1780
ρs=1820
energy harvesting bandwidth at resonance frequency
of the harvesting beam is between (47, 55) Hz.
Fig. 4 shows the frequency response functions
(FRF) of output voltage and average output power for
multiple of UCB’s at various load resistance. It can be
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 37-43
1.6
R=1 kΩ
R=10 kΩ
R=100 kΩ
R=1 MΩ
1.4
Output Voltage (V)
1.2
increasing RL and the resonance frequency of a
Piezoelectric energy harvester in UCB depends on the
external load resistance RL. Fig. 6 shows the output
voltage and average power for multiple UCB’s at
various range of load resistances, RL, from 100 Ω to
10 MΩ obtained for excitation at the first fifth mode
shapes.
2.5
R=1 kΩ
R=10 kΩ
R=100 kΩ
R=1 MΩ
2.0
Output Voltage (V)
shown from Fig. 4 that there are five peaks which
represent the resonance frequency of UCB’s. The
energy harvesting bandwidth at resonance frequency
of the harvesting beams in this case was between (22,
88) Hz. The maximum power for mode 1 excitation is
around 0.29 µW at 22 Hz. For mode 2 excitation, the
maximum power output is around 0.63 µW at 30 Hz.
The maximum power output for mode 3 excitation is
1.54 µW at 45 Hz. For mode 4 excitation, the
maximum power output is around 4.7 µW at 65 Hz.
The maximum power output for mode 5 excitation is
5.22 µW at 88 Hz. The resonance frequencies, output
voltage, and average power of the first fifth modes at
optimum resistance for single UCB and multiple
UCB’s from the graphs in Fig. 3 and Fig. 4 are
summarized in Table 2 at the end of this article.
1.5
1.0
0.5
0.0
1.0
20
0.8
60
80
100
Frequency (Hz)
0.6
(a)
0.4
6
0.2
R=1 kΩ
R=10 kΩ
R=100 kΩ
R=1 MΩ
5
20
40
60
80
100
Frequency (Hz)
(a)
2.5
R=1 kΩ
R=10 kΩ
R=100 kΩ
R=1 MΩ
2.0
Output Power (μW)
0.0
Average Power (μW)
40
4
3
2
1
0
1.5
20
40
60
80
100
Frequency (Hz)
1.0
(b)
0.5
Fig. 4. Experimental data of FRF of multiple UCB’s
at various load resistance of output (a) voltage (b) power.
0.0
20
40
60
80
100
Frequency (Hz)
(b)
Fig. 3. Experimental data of FRF of single UCB at various
load resistance of output (a) voltage (b) power.
Fig. 5 shows the output voltage and average power
for single UCB at various range of load resistances,
RL, from 100 Ω to 10 MΩ. It can be seen from
Fig. 5 (a) that the output voltage increases with
Table 2. Resonance frequency, voltage and power output
parameters of multiple UCB’s.
Resonance Output Output
Cantilever
Mode shape frequency voltage power
beam type
(Hz)
(V)
(μW)
Single
st
1 Mode
50
1.41
1.97
UCB
st
1 Mode
22
0.17
0.29
2nd Mode
30
0.25
0.63
Multiple
3rd Mode
45
0.39
1.54
UCB’s
4th Mode
65
0.69
4.69
5th Mode
88
0.72
5.22
39
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 37-43
frequency of each vibration mode in Fig. 8 is
summarized in Table 3.
1st mode at 22 Hz
2nd mode at 30 Hz
3rd mode at 45 Hz
4th mode at 64 Hz
5th mode at 88 Hz
2.0
8
Output Voltage (V)
Output Voltage (V)
2.5
1.5
1.0
0.5
6
4
2
0.0
0
2
4
6
8
10
12
Load Resistance (MΩ)
0
0
2
(a)
4
6
10
Load Resistance (MΩ)
2.5
(a)
2.0
1st mode at 22 Hz
nd
2 mode at 30 Hz
rd
3 mode at 45 Hz
4th mode at 64 Hz
th
5 mode at 88 Hz
8
1.5
Output Power (μW)
Average Power (μW)
8
1.0
0.5
6
4
2
0.0
0
2
4
6
8
10
12
0
Load Resistance (MΩ)
(b)
Fig. 5. Experimental data of (a) output voltage and (b)
output power versus load resistance of single UCB
at resonance frequency.
0
2
4
6
8
10
Load Resistance (MΩ)
(b)
Fig. 6. Experimental data of (a) output voltage and (b)
output power versus load resistance of multiple UCB’s
at first fifth of mode frequency shapes.
3. Modelling Results
A 3 dimensional UCB’s with aluminum beam are
used for the simulation in COMSOL. The model is
designed in COMSOL as shown below in Fig. 7(a).
The model consists of 5 UCB’s with different lengths
attached at the front of aluminum beam. The lengths
of shim layer and piezomaterial are made equal. Using
solid mechanics module, one end of the model is fixed
and the other end is made to move freely. Meshing a
geometry is done using size parameters for free
tetrahedral, with a fine mesh near the clamped end as
shown in Fig. 7(b).
The complete mesh consists of 22954 domain
elements, 13676 boundary elements, and 1333
edge elements for a total number of degrees of
freedom of 139605.
The
Eigen-frequency
analysis
is
done
with different modes of a suggested model beams
as shown in Fig. 8 below. The resonance
40
(a)
(b)
Fig. 7. (a) Designed model, and (b) Meshing proposed
system in COMSOL.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 37-43
a)
b)
c)
d)
e)
Fig. 8. Modeling the resonance frequency using COMSOL for multiple UCB’s (a) First mode at 22.98 Hz, (b) Second mode
at 30.91 Hz, (c) Third mode at 48.70 Hz, (d) Fourth mode at 72.1 Hz, (e) Fifth mode at 91.7 Hz.
41
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 37-43
Table 3. Experimental, and COMSOL resonance frequency
results of multiple UCB’s.
Resonance frequency (Hz)
Cantilever
Mode shape
Error
beam type
EXP. COMSOL
(%)
22
22.98
4.45
1st Mode
2nd Mode
30
30.91
3.03
Multiple
3rd Mode
45
48.70
8.22
UCB’s
4th Mode
65
72.10
10.92
5th Mode
88
91.70
4.20
4. Conclusions
This paper has tested the effect of attaching a
multiple unimorph cantilever beams with same
thickness and different length of shim and
piezoelectric layers at the front of aluminum beam on
the output electrical parameters and bandwidth of both
an experimental and modelling level. The
experimental results show an increasing in maximum
output power and bandwidth of multiple piezoelectric
unimorph cantilever beams (UCB’s comparing to
single UCB. Connecting arrays of 5 commercial
unimorph beams made of polyvinylidene difluoride
(PVDF) in series showed increasing in output power
from 2 µW to 5 µW and widening in the bandwidth
from (47, 55) Hz to (22, 88) Hz. The first fifth mode
shapes of five piezoelectric unimorphs cantilever
arrays integrated in one aluminum beam are
investigated theoretically using COMSOL multiphysics and experimentally, with a good agreement
between model and experiment.
Acknowledgements
The authors gratefully acknowledge support for
this work through the National Science Foundation
grant #EPSCoR R-II-3 (EPS-1158862). Authors thank
Dr. Chance M. Glenn, Dean, College of Engineering,
Technology and Physical Sciences and Dr. M. D.
Aggarwal, Chairman, Department of Physics,
Chemistry and Physics for their keen interest in this
work.
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Determination of Multiple Spring Constants,
Gaps and Pull Down Voltages in MEMS CRAB Type
Microaccelerometer Using Near Pull Down Capacitance
Voltage Measurements
R. K. Bhan, Shaveta, Abha Panchal, Yashoda Parmar,
Chandan Sharma, Ramjai Pal, Shankar Dutta
Solid State Physics Laboratory, Lucknow Road, Timarpur, Delhi–110054, India
Tel.: 91-011-23903403
E-mail: [email protected]
Received: 11 August 2015 /Accepted: 14 September 2015 /Published: 30 September 2015
Abstract: A simple experimental method based on capacitance voltage (CV) measurements is presented to extract
the spring constants (k) different actuation voltages and gaps, in crab type capacitive MEMS accelerometer
sensors. It is shown that in addition to main spring action provided by the legs of the structure, the additional
spring constants related to the interaction of main spring-proof mass joint and corner region of the proof mass also
contribute to change in capacitance. The proposed approach is used in resolving and measuring these model
parameters simultaneously because all of them can be extracted from the just one CV measurement. It is found
that this additional k varies by more than a factor of 10 across the 6-inch wafer. Furthermore, zero bias capacitance
C0, zero bias gap g0, main spring constant k and initial pull down voltage Vpd1 vary by factors of 2.4, 2.38, 30
and 3 respectively. The method also allows us to extract different values of pull down and spring constants
associated with different regions of crab structure. The experimental results agree well with the theoretical
predictions and reported trends in literatures. The method is routinely applied while fabricating the actual
prototype sensors fabricated in our laboratory. Copyright © 2015 IFSA Publishing, S. L.
Keywords: Accelerometer, MEMS sensors, Capacitance Voltage, Spring constants, Pull down voltage.
1. Introduction
Micro-Electro Mechanical Systems (MEMS)
based capacitive microaccelerometers (MA) are
matured and used in many systems due to their high
sensitivity, low noise, low temperature sensitivity and
low power dissipation characteristics [1-3]. Capacitive
accelerometers performance is generally superior in
low frequency range and they can be operated to
achieve high stability and linearity. These
accelerometers can be designed based on either change
44
in gap or change in area approaches having their own
advantages and disadvantages. The change in gap type
accelerometers can be fabricated using variety of
process recipes [4]. One of the structures based on
change in gap type is called Crab type accelerometer
(Fig. 1) in which the area of the proof mass that is
varied to achieve the targeted capacitance and gap
varies as a result of change in acceleration. Further,
four legs of the structure with appropriate spring
constants are designed to hold the structure at four
corners.
http://www.sensorsportal.com/HTML/DIGEST/P_2722.htm
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
Fig. 1. Top and side view of crab type MEMS micro
accelerometer structure showing main proof mass
and four legs.
As described above, the functioning of these
MEMS accelerometers is based on the capacitance
change due to change in gap as a result of acceleration
and hence design involves design of MEMS capacitor
that is sensitive to various noise effects present for low
spring constant desired for 3–5 V applications. There
is lot of literature existing about design and fabrication
such capacitors mainly in the context of RF MEMS
switches, varactors and accelerometers [1-7]. Recently
we
reported
sensitive
axis-misalignment
measurements in crab type micro accelerometers
being developed in our laboratory [8].
Young and Boser [9] were the first to develop a
parallel-plate MEMS capacitor (varactor) that is
similar to crab type accelerometer discussed here.
Four such capacitors were connected in parallel to
achieve total capacitance of change of 15 %.
Claza, et al. [10] reported capacitance voltage (CV)
measurements of RF MEMS switches in both the on
and off states. The spring constant of the suspensions
was used to control the actuation voltage of the
different designs. Dec and Suyama [11-12] developed
two - and three-plate capacitor designs using the
standard polysilicon micromachining process. The
spring constant of 39 N/m was achieved by using four
curved beams and the measured capacitance was
tunable from 1.4 to 1.9 pF. Barker, Muldavin, and
Rebeiz [13] developed a parallel-plate varactor having
a capacitance ratio of 1.35 and suitable for
20 to 100 GHz applications using a low spring
constant support. Zou, et al. [14] developed a widetuning-range parallel plate varactor using a novel
electrode design in which top capacitor and actuation
electrodes were separated by two gaps. Their
measured capacitance had a tuning ratio of
1.55–1.65. However, none of these authors reported
analysis of the spring constants in the range when
applied actuation voltages are of the order of pull
down voltages or even larger. The knowledge of
parameters in the said range of operation is important
for design and parameter extraction.
In all the above cases, it was assumed that the
capacitance change is controlled by one spring
constant of the structure which is true to a first
approximation. However, it is argued here that when
the deflection of the top capacitor plate is large i.e. on
application of actuation voltage greater than pull down
voltage Vpd, the capacitance increases further, with
sharp transitions near pull down voltages that are
manifested by shoulders in CV curves. Such shoulders
have been observed by many workers in the field [5,
14-15] but these will be governed by additional or
other spring constants of the structure that come into
play. Based on our experimental observations, it is
proposed here that in Crab type accelerometer, spring
constant of structure will be actually staircase type
having three values corresponding to anchored leg,
corner joining region of the main proof mass and the
leg, proof mass near corner region dominated by proof
mass. This will be discussed further in detail.
Section 2 discusses the simple theoretical design of
microaccelerometer (MA) and importance of spring
constant k. Section 3 describes the fabrication process.
In Section 4, we discuss the CV measurements.
Results and discussions are discussed in Section 5 and
finally in section 6 we discuss the brief conclusions.
2. Theoretical
The principle of working of an accelerometer can
be explained by a simple mass (m) attached to a spring
of stiffness (k) that in turn is attached to a casing, as
illustrated in Fig. 2. The mass used in MEMS
accelerometers is often called proof-mass. The system
also includes a method or device for damping the
shock or vibration to provide a desirable damping
effect. This is called a dashpot having a particular
damping coefficient c (Fig. 2) that is normally attached
to the mass in parallel with the spring. When the spring
mass system is subjected to linear acceleration, a force
equal to mass times acceleration acts on the proofmass, causing it to deflect. This deflection is sensed by
a suitable means and converted into an equivalent
electrical signal. Some form of damping is required,
otherwise the system would not stabilize quickly
under applied acceleration.
Fig. 2. The ideal model of MEMS capacitive
microaccelrometer.
The design involves the solution of the motion
equation where all real forces (the sum of all forces in
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
the z direction) acting on the proof-mass are equal to
the inertia force on the proof-mass. Accordingly, a
dynamic problem can be treated as a problem of static
equilibrium and the equation of motion can be
obtained by direct formulation of the equations of
equilibrium as follows:
+
+
=
(1)
ext
The static deformation is given by
(2)
For a case of damped mass spring system, the
dynamic behavior of motion as given by eqn. (1) is a
second order linear differential equation with constant
coefficients given as follows:
m
,
(3)
where
m = mass of the proof-mass;
a = acceleration;
x = relative movement of the proof-mass with
respect to frame;
D = damping coefficient;
k = spring constant;
Fext = external force applied.
It may be seen from the above equations that we
need to know the value of spring constant k for the
design of micro accelerometer.
The proof-mass size and spring constants are
selected in such a way that there shall be a capacitance
change of measurable range say around1 fF or more
for the smallest resolution of acceleration to be
detected say 1 mg as a minimum resolution. This
limitation comes from the capacitance signal that can
be handled comfortably by the signal processing
electronics.
Generally workers in the field have assumed one
value of spring constant for a given material and
geometry in the design of an capacitive accelerometer
[7]. This approach may be correct as a first order
design particularly for a crab type accelerometer.
However, it is argued here that same spring constant
cannot be used for all the values of deflection in crab
type MA. As the applied force or acceleration is
increased in z direction (say –z, i.e. downwards), the
proof mass gets pulled down further and further and
spring action of other regions associated with the main
spring start contributing. However near the corners
structure cannot deflect or pull down fully because of
four springs attached to four anchors upwards. For
accurate modeling and particularly for shock test
modeling, understanding of this effect is important.
This effect can be witnessed by simple CV
measurements. CV measurements are routinely used
in the laboratory to see whether the fabricated MEMS
membrane is indeed movable or not. Experimental
evidence of this can be seen in the CV measurements
46
of MEMS varactors as reported by many workers
[5, 8-14]. It is shown here that spring constant in
general increases with decreasing gap.
The crab type MA is modeled as a parallel-plate
capacitor and neglecting the incremental increase in
capacitance due to fringing fields, the model is a good
starting point for understanding the effect of
electrostatic actuation on capacitance. Following the
assumptions as mentioned in Ref. [7], and equating the
applied electrostatic force with the mechanical
restoring force due to the stiffness of the beam (F=kx),
we find that
1
2
,
(4)
where W and w are the dimensions in x and y
directions, V is applied DC voltage, go is the initial gap
or zero bias gap and g is the reduced gap as a function
of applied voltage. This equation predicts the variation
of gap (or capacitance) of proof mass plate as a
function of applied voltage. The upper limit of V in
this equation is pull down voltage of the membrane.
This can be utilized to calculate the change of
capacitance as function of V. This equation will be
utilized to simulate the expected trends in CV as a
function of g and k.
Fig. 3 shows the effect of changing gap g on the
capacitance for a fixed spring constant k of 10 N/m. It
may be seen from this figure that C increases with
increase in V till we reach near pull down voltage limit
where C increases drastically because gap g reduces to
infinitesimally small value e.g. for g=3 µm, C rises
sharply because of approaching pull down voltage
Vpd of 3 V.
Fig. 3. Effect of varying gap g on the capacitance voltage
characteristics for a given spring constant k.
This figure shows the effect of V on C for a fixed
k. Also, it can be seen from this figure as expected the
base value of zero bias capacitance increases with
decreasing gap. For the case under consideration this
capacitance increases from 1.48 pF to 2.94 pF when
the gap is decreased from 6 µm to 3 µm, however the
curvature of the CV curve remains same. This
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
curvature is dependent on the spring constant of the
structure.
Fig. 4 shows the effect of changing spring constant
on the CV for a fixed gap of 4 µm. As expected, it may
be seen that as expected all the curves merge at the
base value of the capacitance indicating that the gap is
fixed thus yielding fixed capacitance at about 2.2 pF.
However, as the spring constant increases, the pull
down voltage indicated by the sharp increase in the C
at the last value of V e.g. 1.5 V for k=1 N/m. This
voltage changes from 1.48 V to 4.46 V as the k goes
from 1 to 10 N/m.
probed for CV measurements. The actual structures of
Crab type microaccelerometers were successfully
realized using above process. Fig. 5 shows the SEM
picture of crab type structure. The pictures clearly
showed the released and hanging structures as
expected.
Fig. 5. SEM pictures of crab type
microaccelerometer structure.
Fig. 4. Effect of varying spring constant k
on the capacitance voltage characteristics for a given
or fixed gap of the structure.
These figures show the basic behavior of C as
function of g or k. It is proposed and shown in this
paper that using simple CV measurements, wherein
voltage is varied up to pull down value and further
beyond, one can determine that how many springs are
at play during the actuation of the structure by using
Equation (4). We have used this methodology, for
extraction of different spring constants in our structure
as will be shown in the next section.
4. Capacitance Voltage (CV)
Measurements
The capacitance voltage measurement was done at
wafer level using Kithely Semiconductor Parametric
Analyzer 4200 model. Fig. 6 shows the typical
photograph of the fabricated wafer diced into two parts
that was later diced into two parts (subsequently
individual chips) after the CV mapping was
completed.
3. Fabrication Process
The microaccelerometer structure was realized
using a three mask dissolved wafer process (DWP) as
discussed elsewhere in our earlier paper Ref. [8].
Briefly the structure consists of 12 μm thick boron
doped silicon inertial proof–mass suspended over a
glass pit that was created in 7740 Pyrex glass substrate
using wet etching. A bottom plate capacitor contact
was made of Ti plus Gold that was deposited and
patterned. The depth of cavity is about
4-5 microns. Further, in the Silicon wafer deep boron
diffusion was carried out at 1175 oC to achieve boron
doping ~ 1×1020 atoms/cc over a depth of 12 μm. This
heavily boron doping acts as etch stop layer during the
final stages of DWP process in chemical etchant. The
devices were fabricated using 6-inch wafer process.
Before dicing of the individual dies, the devices were
Fig. 6. Photograph of a typical wafer showing multiple
crab type micro accelerometer structures on the semi diced
wafer that are probed for CV measurement.
This measurement was further used to verify the
deflection or immovability of structures. It can also be
used to check whether the structure is properly
released or not. If the structure is released properly,
then it will move down with increasing actuation
voltage which will result in continuously increasing
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
capacitance because of reducing gap till actuation
voltage. This is particularly easy to verify in Crab type
of structure as will be shown in next sections.
5. Results and Discussions
Most of the measured devices showed shallow
U-type CV characteristics indicating that the
structures are properly released and the devices are
responding to change in actuation voltage as per
theoretical predictions of Fig. 3 and Fig. 4. However,
there is evidence of change in gap, spring constant and
stress in the proof mass from device to device across
the wafer. The change in gap results in vertical shift of
zero bias capacitance, change in spring constants
results in change of curvature in CV curve i.e. small k
leads to low pull down voltages and sharp change in
capacitances and vice versa. Furthermore, there are
slight differences in actuation forces in +ve and –ve
cycles of the voltages resulting in non-symmetrical
CV. This type of behavior is evident in device nos. 23,
8 and 15 because the non-symmetry in CV curves in
maximum in these devices. In rest of the devices, this
non-symmetry was negligible. This is attributed to
association or joining together of proof mass with air
(conjunct air) and some form of dielectric charging
non-uniformities effect seen in many MEMS
capacitors that lead to non-symmetry in CV curves as
discussed in Ref. [16]. However, how exactly it is
affecting in our case is not understood clearly at
present.
Next we found that there is a variation among the
fabricated devices across the wafer. There were about
13 types of different varying CV curves that we found
in our devices that are shown in Fig. 7.
1.89 pF to 3.17 pF indicating that our process needs to
control the variation of released gap in these devices.
Secondly there is strong evidence of variation in
curvature and number of shoulder in these CV curves
from device to device. This indicates that we have a
variation in spring constants from device to device
as well.
The most important finding is that there can be
more than one shoulder in CV curves near the pull
down voltage in both +ve and –ve directions of voltage
as can be seen from the sample 8 in Fig. 7. For the case
of +ve voltage cycle, we can see from this sample that
these shoulders in CV are evident and the onset
voltages are 3.4 and 3.45 V respectively. This
indicates that another spring constant comes in play
beyond this voltage which controls the further
reduction of the gap and hence the increase in
capacitance. We have utilized these shoulder positions
for estimating the multiple spring constants that come
into play while the structure is pulled down by
actuation voltage. This behavior will be analyzed
further for extraction of spring constants in detail by
fitting the experimental data to theory. For example,
we can see from this figure that within a CV
measurement range of 0-5 V we have only one
shoulder with onset at 1.46 V for sample 21 and at
4.20 V for sample 23. Next, we try to fit all different
variants of CV curves covering minimum to maximum
range of capacitance and shoulders in our case. The
samples covering the said range are 8, 11, 12 and
23 and will be analyzed further for detailed for
parameter extraction. Rest of the devices in terms of
their capacitances and number of spring constants that
come into play along with their values lie within the
measured range of these devices.
Type I devices: Fig. 8(a) and Fig. 8(b), show that
for both the device numbers of 1 and 11, there is
minimum change in capacitance of 0.02 pF from 0 to
5 V, although their zero bias capacitance C0 as well as
Cmax at 5 V is different for both the devices.
Fig. 7. Results of CV measurements for 13
microaccelrometer devices having different behavior and
depicting the complete range of variations observed
in our devices.
These different types are further categorized into
three major types viz. Type I, Type II and Type III as
will be discussed subsequently. It may be seen from
this figure that zero bias capacitance varies from
48
Fig. 8 (a). The fitting of experimental data for typical CV
curves of Type I devices showing no shoulders or evidence
of pull down voltage for V<5 Volts. This is the case of
minimum change in zero bias capacitance with low g
and high k.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
Type II devices: Fig. 9 for device 23 shows the
different behavior compared to device 1, 11 or 13 in
the sense that it shows the evidence of an additional
capacitance in parallel to the original capacitance as
evidenced by one shoulder near pull down voltage
Vpd1 of 4.21 to 4.40 V. The value of zero bias
capacitances for these two cases are 2.55 and 4.54 pF
respectively as extracted by fitting of experimental
data to theory. Similarly the extracted values for g for
these capacitances are 3.14 and 1.95 µm respectively.
Fig. 8 (b). The fitting of experimental data for the typical
CV curves of Type I devices showing no shoulders or
evidence of pull down voltage for V<5 Volts. This is the
case of minimum change in zero bias capacitance with
moderate g but high k.
The capacitance values for 5 V are 2.24 and
1.89 pF respectively. This indicates that gap and
spring constants are different for both of these devices.
Further, there is no evidence of single or double
shoulder within the measurement range of 0 to 5 V.
However they both show similar change of 0.02 pF in
capacitance values. Actual fitting of experimental data
shows a value of k=180 N/m for device 1 and 180 N/m
for device 11. This suggests that both these curves will
behave differently when subjected to same
acceleration although their observed curvature in CV
curves is similar.
Fig. 8 (c) for the device 13 shows the similar
behavior as in Fig. 8 (a) and Fig. 8 (b), however it
shows the highest change in capacitance of 0.34 pF
from 0 to 5 V out of the lot wherein also there
is no evidence of single or double shoulder. The zero
bias gap capacitance and spring constant
estimated from fitting in this device are 3.8 pF and
22 N/m respectively.
Fig. 8 (c). The fitting of experimental data for the typical
CV curves of Type I devices showing no shoulders or
evidence of pull down voltage for V<5 Volts.
This is the case of with high g but low k.
Fig. 9. The fitting of experimental data for the typical CV
curves of Type II devices showing one shoulders and one
pull down Vpd1 ~ 4.21 volts.
Further, the extracted values for k for current
Type II and later Type III have been normalized for
full area of the membrane and are of 14 and 230 N/m
respectively. However, the spring constant density Kn
per unit area has also been given in the summary Table
1 for all the devices. A possible physical model that
explains all the observations in totality will be
proposed after discussing the results of another trend
observed in devices 8 and 21.
Type III devices: Fig. 10 (a) and Fig. 10 (b)
showing the results for the devices 8 and 21 exhibit
even further different behavior compared to Fig. 9 for
sample 23 in the sense that we see two additional
capacitances acting in parallel to original capacitances
as is evident by two shoulders near pull down voltages
of Vpd1 and Vpd2 shown in these figures. These
capacitances are having different spring constants as
can be clearly seen from the different curvatures in
three different regions of CV. The transitions of pull
down voltages viz. Vpd1 and Vpd2 are clearly
resolved and very sharp. For the case of device 8, the
values of gas extracted by parameter fitting of
experimental data are 3.85, 3.10 and 2.0 µm
respectively. Similarly, the extracted values of k are
6.5, 21 and 68 N/m respectively. Incidentally, this
device shows the highest change in capacitance i.e. C
of 1.08 pF for a V of 3.4 Volts of the lot. This
corroborated by its corresponding lowest value of
k=6.5 N/m out of the lot. The values of onset values
pull down voltages viz. Vpd1 and Vpd2 are 3.40 and
49
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
4.10 respectively. The results of device 21 Fig. 10(b)
shows the similar trends as that of device 8 except the
fact that shoulders in CV curve are merged unlike in
device 8 and C in this case ranges from 0.02 to
0.03 pF. Further, the values Vpd1 and Vpd2 in this
case are 1.40 and 2.0 V respectively and are also lower
compared to values of device 8.
Table 1. The summary of the measured and extracted parameters for all the different devices.
Sample
No.
1
11
13
23
8
21
Type
Type I
Single C, No
shoulder (Vpd) in
CV
Type II
Two C’s in parallel,
One shoulder (Vpd1)
in CV
Type III
Three C’s in parallel,
Two shoulders
(Vpd1 & Vpd2)
in CV
g
(µm)
3.95
4.66
k
(N/m)
180
100
kn
(N/m3)
180e6
100e6
C0
(pF)
2.24
1.89
Cmax
(pF)
2.26
1.91
Cmin
(pF)
2.24
1.89
C
(pF)
0.02
0.02
Vpd1
(V)
-
Vpd2
(V)
-
3.8
22
22e6
2.32
2.66
2.32
0.34
-
-
3.40
14
14e6
2.55
3.27
2.55
0.72
1.95
230
230e6
4.54
4.91
4.54
0.37
4.21 to
4.40
-
3.85
3.10
2.50
2.80
2.78
2.76
6.5
21
68
45
150
650
6.5e6
21e6
68e6
45e6
150e6
650e6
2.32
2.85
3.54
3.16
3.18
3.20
3.40
3.47
3.90
3.19
3.20
3.22
2.32
2.85
3.54
3.16
3.18
3.20
1.08
0.62
0.36
0.03
0.02
0.02
3.4 to
3.5
4.10
to
4.22
1.40
2.0
Fig. 10 (a). The fitting of experimental data for the typical
CV curves of Type III devices showing two shoulders and
two pull down voltages Vpd1 and Vpd2 of ~ 3.40 and
4.10 volts and having well defined shoulders.
Fig. 10 (b). The fitting of experimental data for the typical
CV curves of Type III devices showing two shoulders and
two pull down volts Vpd1 and Vpd2 ~ 1.4 and 2.0 volts
and having merged shoulders.
50
It may be recalled here that Vpd values are
dependent on both g and k and hence difficult to isolate
the reason for their variation.
The summary of the measured and extracted
parameters for all the different devices are given in
Table 1. About 30 functional devices were measured
from the same batch (under consideration here) and
majority of them showed similar to Type I behavior as
mentioned in Table 1 i.e. single type C observed
within V<5 Volts, No shoulder or pull down (Vpd)
was observed in their CV curves for V<= 5 volts. It
may be stressed and mentioned here that Type I
devices will show Type II or even Type III behavior if
voltage measurement range is extended much beyond
to 5 V. Since, our interest and targeted values of Vpd
was ~5 V, no detailed measurements and analysis was
carried out for V> 5 Volts.
Table 1 also shows that across the whole wafer, C0
varies from 1.89 to 4.54 pF i.e. by a factor of 2.4.
Initial gap g varies from 1.95 to 4.66 µm i.e. a factor
of 2.38. Similarly, spring constant k corresponding to
legs of main structure varies from 21 to 650 N/m i.e.
by a factor of 30.95. This variation is largest out of all
the variables. This is expected because this value is
highly sensitive to dimensional control in
photolithography and etching. This variation in k and
g lead to variations in first pull down voltage Vpd from
1.40 to 4.21 V i.e. by a factor of 3. Furthermore, k
varies by more than a factor of 10 within Type III
devices.
Next, we try to propose a simple physical model
which explains our experimental observations. Fig. 11
shows the proof mass of crab structure acting as a top
plate of parallel capacitor based physical model which
explains our experimental observations. Initially for
low values of actuation voltages, the whole of top plate
of the capacitor, barring four edges which are tied by
the legs of the structure, moves down resulting in
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 44-52
reducing gap and hence increasing capacitance. This
movement of the structure is controlled by the spring
constant k1 and the gap g1 as shown in this figure.
Fig. 11. Proposed physical model with three spring
constants and gaps for working of Crab type
microaccelrometer under application of actuation voltage
resulting in observed CV curves.
This continues till we reach the near the onset of
pull down voltage of the structure as evidenced by the
first shoulder of the CV curve (Fig. 9, Fig. 10(a) and
Fig. 10(b). Earlier such shoulders in CV curves were
observed by Venkatesh, et al. [5] in variable gap
varactors. Next, once the voltage is increased further,
the edges that were not responding to this voltage so
far because of higher gap will start responding and
contribute its capacitance that acts in parallel to the
main plate. Hence the overall capacitance increases as
evidenced by shoulders in CV curves. However, the
magnitude of this capacitance is dependent on spring
constant k2 in addition to the gap g2 as shown in Fig.
11. Therefore, the capacitance continues to increase
again but this time it is controlled by k2 i.e. spring
constant of the right angled leg connected to the edge
of the plate & g2 i.e. gap closer to the inner region of
the capacitor plate edge having gap g1. This is clearly
evident by another branch in CV i.e. in Type II
devices. It is difficult to pin point the demarcation of
regions of the k’s and g’s. In practice, the variation in
k and g will be continuously graded. Similarly, for
Type III devices, another capacitance adds its
contribution in parallel evidenced by (device 12) third
branch of capacitance. However, this is controlled by
gap g3 i.e. right near the edge and spring constant k3
i.e. of the main plate. As expected from the geometry
of the structure we have k3>k2>k1 and g1<g2<g3.
These observations are supported by the extracted
parameters as shown in Table 1. In short spring
constant increases as we approach from outer spring
(i.e. legs) to inner spring (i.e. main capacitor plates)
and gap increases in opposite direction i.e. from inner
capacitor plate to outer capacitor legs/arms. These
proposed trends in CV measurements of MEMS
capacitors have been reported in literature although in
different context. Such shoulders [8, 14-15] have been
observed by many workers in the field. Particularly, in
Ref. [15] double shoulder was observed in CV
measurements. In short, we have shown that one can
measure the different spring constants of the Crab type
micro accelerometer by using simple CV
measurements and extract different actuation voltages,
gaps and spring constants from these measurements.
Further, these parameters should be used by the
designers of accelerometers while modeling dynamic
behavior of these structures for different values of g
under consideration. It is clear that it is not one single
k that comes in to play, rather it is dependent of values
of g under consideration. Higher the g, more the
structure gets pulled down and possibly the
contribution from the edges cannot be neglected.
Particularly this effect has more importance MEMS
varactors as discussed by Venkatesh, et al. [5]. Here
the gap is totally controlled by the actuation voltage.
6. Conclusions
In brief, using the CV measurements, an analytical
approach based on fitting of different branches of CV
curves is utilized for extraction of gaps, spring
constants, pull down voltage parameters for MEMS
Crab type accelerometers. The measured trends of our
results compare well with measurements of other
MEMS devices like varactors, RF switches etc. The
method is routinely used in our laboratory for
characterization of MEMS sensors in our laboratory.
Acknowledgements
The authors would like to thank Director, Solid
State Physics Laboratory for his continuous support
and for the permission to publish this work. Help from
other colleagues of MEMS division are
also acknowledged.
References
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
52
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 53-60
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Mössbauer, VSM and X-ray Diffraction Study of Fe3O4
(NP’s)/PVOH for Biosensors Applications
1
Almuatasim Alomari, 2 Hasan M. El Ghanem, 3 Abdel-Fatah Lehlooh,
4
Isam M. Arafa, 5 Ibrahim Bsoul, 1 Ashok Batra
1
Department of Physics, Chemistry and Mathematics (Materials Science Group)
College of Engineering, Technology, and Physical Sciences
Alabama A&M University
Normal, Alabama 35762 USA
2
Department of Physics, Jordan University of Science & Technology, Irbid, 22110, Jordan
3
Physics Department, Yarmouk University, Irbid 211-63, Jordan
4
Department of Chemistry, Jordan University of Science & Technology, Irbid, 22110, Jordan
5
Physics Department, Al al-Bayt University, Mafraq 130040, Jordan
1
Tel.: (256)372-8109, fax: (256)372-5622
E-mail: [email protected]
Received: 8 August 2015 /Accepted: 10 September 2015 /Published: 30 September 2015
Abstract: In this article, structure and magnetic properties of nano magnetic Fe3O4 (magnetite) nanoparticles
functionalized polyvinyl alcoholic (PVOH) have been investigated by X-ray diffraction (XRD), Vibrating
sample magnetometer (VSM) and Mossbauer Spectroscopy (MS) for use in biosensor applications. XRD
showed an average of cluster sizes using Debye–Scherrer formula are between 10-13 nm. The magnetization
data at room temperature shows weak hysteresis loops and the isotherms of the magnetization curves indicate
that superparamagnetism superimposed on the paramagnetic behavior exists in all coated samples. The
paramagnetic contribution in coated samples was found to perfectly fit a Langevin equation, with an average
number of magnetic dipole moments around 20 Bohr magnetons. The results of MS showed that all magnetic
components corresponding to iron oxide particles in polymer spectrum split into a number of sextet separated by
about 10-35 T. The line width, relative intensity and the values of the hyperfine fields and isomer shifts for the
magnetic components of the samples are estimated. It was found that only the Fe3O4 sample is suitable for
practical medical applications such as, drug delivery systems and to design artificial muscles due to its
sufficiently high value of saturation magnetization and attraction to magnet ability. Copyright © 2015 IFSA
Publishing, S. L.
Keywords: Nano magnetic Fe3O4 nanoparticles, X-ray diffraction, Debye–Scherrer formula, Vibrating sample
magnetometer, Mossbauer Spectroscopy, Langevin equation.
1. Introduction
Synthesis of superparamagnetic iron oxide
nanoparticles (SPION) with polymers has gained
http://www.sensorsportal.com/HTML/DIGEST/P_2723.htm
increasing interest for emerging applications as tissue
repair, drug delivery and in cell separation, cellular
imaging in magnetic resonance imaging (MRI),
sensors, imaging agents, storage media and catalysis
53
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 53-60
in biotechnology and biomedical application [1-7].
One of the most important features is to prepare
coated particles with iron oxide core shell for use in
applications that require high magnetization values at
room temperature, nontoxic fine particles and have
long time stability with size smaller than 100 nm [8].
Many researchers have studied structure and
magnetic properties of iron oxide as metal alloy and
produced new spinel iron oxide hybrids [9-11], they
have also studied it as amorphous with a short-range
crystallinity, where amorphous nature of the atomic
arrangements has been observed [12]. Uniformly
dispersed amorphous nanoparticles of magnetite in a
polyvinyl alcohol matrix have been obtained by
ultrasound radiation [13]. In other research composite
was prepared by mechanical milling of Fe3O4 / SiO2
material constitutes a mixture of ultrafine Fe-rich
spinel particles (magnetite/maghemite) [14]. The
preparation of magnetite (Fe3O4) has been typically
performed by particle precipitation from the
hydrolysis and condensation of iron (II)/iron (III)
salts in basic media stable aqueous dispersions of
magnetic iron oxide colloids were initially generated
by ball milling of large particles in the presence of
organic stabilizers [15-18]. Solution methods were
also developed to prepare aqueous Fe3O4 sols, it was
reported that the particle size of Fe3O4 colloids
approximate of 10 nm [19-20]. Dextran coated iron
oxide nanoparticles were synthesized by addition of
FeCl2 and FeCl3 in the presence of ammonium
hydroxide (NH4OH) and the polysaccharide
surfactant (Mn = 40,000 g/mol), SEM showed the size
of Iron oxide nanoparticles is between 10–20 nm
[21]. Polymer coated magnetite nanoparticles were
synthesized by in situ precipitation in the presence of
poly (vinyl alcohol) (PVOH) (Mn = 20,000 g/mol)
from an aqueous mixture of ferric and ferrous
chloride salts in an alkaline media [22]. It was
reported that the prepared samples showed
superparamagnetic Fe3O4 colloid behavior with
nanoparticles size is in the range of 4–10 nm using
XRD, VSM, and TEM. A comparative study of
dextran versus the PVOH surfactants in the
precipitation of iron oxide colloids was also
conducted [23]. A recent report showed the
preparation of PVOH coated Fe3O4 colloids using
sonochemical methods from iron (II) acetate
precursors yielding superparamagnetic hybrid
materials [24]. PVOH–magnetite ferrogels prepared
using freezing and thawing cycles showed
superparamagnetic properties that can be tailored for
drug delivery systems and to design artificial muscles
[25]. One of the important material which can be
immobilized on magnetic nanoparticles in order to
use them for biosensing purposes is Streptavidin [26].
Streptavidin is known for its special affinity towards
the vitamin biotin and hence it is suitable for
detection of diverse biomolecules in immunoassays,
e.g. detection of viral nucleic acids in vitro [27].
This paper is aimed at the study of basic magnetic
properties of iron oxide Fe3O4 coated with
PVOH and non-coated iron oxide Fe3O4 prepared by
54
low-cost conventional sonication method to
determined functionality for use in biosensing and
biomedical applications.
2. Experimental Section
Polyvinyl alcohol (PVOH,72000g/mol) was
suspended in 100 mL of 1,2 ethylenedichloride
(C2H4Cl2) in a closed container and subjected to
sonication for about 1 h at 60-70 oC. To this solution
palmatoyl chloride (C15H31COCl, xxxx g/mol) was
added with continuous sonication. The reaction
mixture proceeded rapidly after addition of
triethylamine base (NEt3) with the elimination of
triethylammonium chloride salt. The obtained
reaction mixture was left overnight in the closed
container. This afford 4.15 g of different amounts of
palmatoyl chloride is added to afford 4.15 g of the
required modified matrix (palmatoyl-PVOH) with
different degree of substitution, see Table 1.
Table 1. Relative samples contents of PVOH,
C15H31COCl (g) and Number of palmatoyl substituted
vinylOH units in poly (palm-g- PVOH) polymer backbone.
Sample
PVOH
(g)
C15H31COCl
(g)
Number
of palmatoyl
substituted
vinylOH units
on palmatoyl
PVOH polymer
backbone
S1
S2
S3
S4
S5
S6
1.12
1.76
2.18
2.47
2.69
2.86
3.49
2.75
2.27
1.93
1.68
1.48
1:2
1:4
1:6
1:8
1:10
1:12
To each of the above rapidly stirred solutions
100 mL of aqueous solution containing 1:2 molar
ratio of FeCl2:4H2O (1.19 g) and FeCl3:6H2O (3.23 g)
was added. The resulting colloidal mixture was
sonicated for 30-40 minutes to ensure homogeneous
distribution of Fe2+ and Fe3+ in the colloidal solution
of the matrix system. The chloride salt of iron was
then converted into oxide by adding 5-6 mL
ammonia while the solution is under sonication.
Immediately the colloidal solution becomes dark
indicating the formation of magnetic particles.
Sonication continued for ~ 1 h and left for few hours
before suction filtration. The obtained materials were
vacuum dried at 70 oC. This procedure gives 1.39 g
of Fe3O4 tiny particles entrapped into the spaces
provided by 4.15 g of the palmatoyl-modified PVOH
matrix. In other words, the percent of magnetite in
each matrix is 25.1 %.
Approximate particle size of samples was
determined using X-ray diffraction and Debye–
Scherrer
formula.
The
vibrating
sample
magnetometer has become a widely used instrument
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 53-60
for determining magnetic properties of a large variety
of
materials:
diamagnetic,
paramagnetic,
ferromagnetic and antiferromagnetic. In this case we
used VSM MicroMag 3900, Princeton Measurements
Corporation. The value of magnetic field was
between 0 to 1 Tesla at different temperatures.
The source of γ – ray in Mössbauer device was a
25 mCi of Co57. The computer processing of the
spectra showed intensities I of the components
(atomic fraction of Fe atoms), hyperfine inductions
Bhf, isomer shifts δ, and quadrupole splitting QS.
3. Mathematical Section
X-ray diffraction (XRD) is a versatile, nondestructive technique that reveals detailed
information about the chemical composition and
crystallographic
structure
of
natural
and
manufactured materials. The Debye–Scherrer
formula can be used to determine the size of particles
of crystals in the form of powder. The Debye–
Scherrer formula can be written as [28]:
where M is the total measured magnetization,
a is a fitting parameter and χp is the high field
paramagnetic susceptibility.
Fig. 1 shows the X-ray diffraction patterns of
uncoated and coated Fe3O4 magnetite NP’s
synthesized by sonication method. All peaks of the
uncoated Fe3O4 particles matches exactly the
prepared peaks of six coated samples. The
calculations of uncoated and coated Fe3O4 particles
made on the peak centered at 41o, using Equation (1).
The average diameter of the particles assuming
spherical Fe3O4 clusters is of the order of 13 nm
(nano-sized particles).
(1)
where D is the mean size of the ordered domains,
K is a dimensionless shape factor, λ is the X-ray
wavelength (1.54056 Å), β is the line broadening at
half the maximum intensity (FWHM).
3.2. Langevin Function
The Langevin function can be written as [29]:
1
M
= coth(a ) − ,
Ms
a
(5)
p
S1
S2
S3
S4
S5
S6
Fe3O4
Intensity (a. u.)
Kλ
,
β cos θ
M*(H, T) =M (H, T) - χ H,
4. Results and Discussion
3.1. X-ray Diffraction (XRD)
D=
field on the material (Oe), kT: is the thermal energy
(eV), χ: is the susceptibility.
The reduced magnetization M*(H, T) can be
obtained by [30]:
(2)
where M is the total magnetization (emu/g), Ms is the
saturation magnetization (emu/g), a is the ratio of the
Zeeman energy of the magnetic moment in the
external field to the thermal energy.
The Langevin theory also leads to the Curie law.
For small a [29]:
M =
nμ 2 H
3kT
(3)
χ=
nμ 2
,
3kT
(4)
Therefore:
where n is the number of atoms per unit volume, µ is
the magnetic moment (emu), H is the acted magnetic
20
40
60
80
100
2θ
Fig. 1. X-ray diffraction patterns of all samples with Fe3O4.
The magnetization (M) versus the applied
magnetic field (H) was carried out at room
temperature as shown in Fig. 2. The results showed
weak hysteresis loop for all six uncoated samples at
room temperature. The corriesive field (Hc) was too
low to be measured, while the remnance
magnetization (Mr) varies for samples as shown in
Fig. 3 (a) for sample (S3), while Fe3O4 showed high
value of magnetization compared to other samples as
shown in Fig. 3 (b).
55
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 53-60
shown in Fig. 5. The susceptibility, the saturation
magnetization Ms and the average magnetic dipole
moment for all samples are calculated and tabulated
in Table 2.
S1
S2
S3
S4
S5
S6
5
8
0
6
-5
-10
-10
-5
0
5
10
H (kOe)
M (emu/g)
Magnetization (emu/g)
10
Magnetization (emu/g)
Mr=0.42 (emu/g)
T=
T=
T=
T=
T=
2
Fig. 2. Magnetic hysteresis curves of all coated samples.
Hc=42 Oe
4
298
323
373
423
473
o
K
K
K
o
K
o
K
o
o
8
0
0
6
2
4
6
8
10
H (kOe)
4
(a)
2
0
-1000
-500
0
500
1000
H (Oe)
-2
60
-4
M (emu/g)
-6
Hc=51 Oe
Mr=5.2 (emu/g)
Magnetization (emu/g)
(a)
80
40
20
0
-500
0
0
500
2
4
6
8
10
1000
H (kOe)
H (Oe)
-20
-40
(b)
-60
Fig. 4. Selected isothermal total magnetization
measurements for (a) sample 3 (S3), and (b) sample Fe3O4
at different selected temperature from 298 to 473 (Ko).
(b)
Fig. 3. Magnetic hysteresis curves of (a) sample 3 (S3),
and (b) Fe3O4.
The isothermal magnetization curves of different
samples have been determined at temperatures
between 298 to 473 Ko. The isothermal curves of
samples show a large initial slope and nearly linear
behavior for large fields; this suggests that the
system contains paramagnetic and apparently
superparamagnetic contribution, as shown in Fig. 4.
A very good agreement between the reduced
magnetization and the Langevin function found as
56
T= 298 oK
T= 323 oK
T= 373 oK
T= 423 oK
T= 473 oK
20
60
0
-1000
40
Table 2. The susceptibilities, the saturation magnetization
Ms and the average magnetic dipole moment µ.
Sample
χo
χp
S1
S2
S3
S4
S5
S6
Fe3O4
2.2
1.46
1.71
1.36
1.37
1.51
15.53
1120
966
1420
1444
1070
2150
5260
Ms
(emu/g)
9.86
7.51
6.51
6.11
5.87
5.23
63.46
μ
(emu/g)
25.4
24.9
24
20.8
20.1
19.4
30.5
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 53-60
M (Measured)
M*
Langevin
10
M (emu/g)
8
6
4
2
0
0
2
4
6
8
10
H (kOe)
Fig. 5. Magnetization curve of the sample 3 (S3).
The best least square fit with Equation (2).
The Mössbauer spectra show magnetic ordering
with broad magnetic splitting, and superparamagnetic
behavior. Hence, the spectra are fitted with (one or
more) magnetic sextets and one quadrupole doublet.
The fitted Mössbauer spectra are shown in Fig. 6.
The Mössbauer parameters are listed in Table 3.
Table 3. Hyperfine field Beff, Quadruple Splitting (QS),
and Isomer Shift (δ) Results of Mössbauer Spectra
for all samples.
Sample
S1
S2
S3
S4
S5
S6
Fe3O4
Sub spectra
Sextet
doublet
Sextet
Sextet
Sextet
doublet
Sextet
Sextet
Sextet
doublet
Sextet
Sextet
Sextet
doublet
Sextet
Sextet
doublet
Sextet
Sextet
doublet
Sextet
Sextet
Sextet
Sextet
Sextet
Beff
(T)
10.4
44.4
31.3
18.3
46.5
37.9
26.1
46.8
40
19
46.5
26.2
46.1
20.7
49.9
47.6
43.9
39.1
21.7
QS
δ
(mm/s) (mm/s)
0.27
0.74
0.33
0.36
0.36
0.36
0.71
0.38
0.28
0.28
0.28
0.69
0.32
0.34
0.34
0.34
0.70
0.37
0.50
0.50
0.73
0.38
0.37
0.37
0.73
0.38
0.32
0.32
0.34
0.37
0.33
The spectrum for Sample 1 (S1) is fitted by one
broad magnetic sextet with a hyperfine field
(Bhf =10 T) and one quadrupole doublet with
quadrupole splitting (QS=0.74 mm/s) and relative
intensity I %=80 %.
The spectrum for Sample 2 (S2) is fitted with
three magnetic sextets with an average hyperfine
field (Bhf =35.9 T) and one quadrupole doublet with
quadrupole splitting (QS=0.71 mm/s) and relative
intensity I %=48 %. The spectrum for Sample 3 (S3)
is fitted with three magnetic sextets with an average
hyperfine field (Bhf =39.9 T) and one quadrupole
doublet with quadrupole splitting (QS=0.69 mm/s)
and relative intensity I %=65 %. The spectrum for
Sample 4 (S4) is fitted with three magnetic sextets
with an average hyperfine field (Bhf =37.9 T) and one
quadrupole doublet with quadrupole splitting
(QS=0.70 mm/s) and relative intensity I %=58 %.
The spectrum for Sample 5 (S5) is fitted with two
magnetic sextets with an average hyperfine field
(Bhf =39.7 T) and one quadrupole doublet with
quadrupole splitting (QS=0.73 mm/s) and relative
intensity I %=70 %. The spectrum for Sample 6 (S6)
is fitted with two magnetic sextets with an average
hyperfine field (Bhf =39.2 T) and one quadrupole
doublet with quadrupole splitting (QS=0.73 mm/s)
and relative intensity I %=63 %. The spectrum for
sample Fe3O4 is fitted by five magnetic sextets with
an average hyperfine field (Bhf =43 T) without
quadrupole splitting.
The magnetic ordered phases represented by
magnetic sextets correspond to iron atoms in an iron
oxide phases (magnetite) with large particle sizes,
large enough to have net magnetic moment
manifested by magnetic Zeeman splitting but not
large enough to have well define magnetic splitting
as in bulk magnetite. The quadrupole doublet in the
spectra which is found to be around
(QS ≈ 0.70 mm/s) could be attributed to iron oxide
phase (most probable magnetite as the XRD data
shows) with small particle sizes, small enough that
the particles behave superparamagnetic (zero net
magnetic moment). The relative intensity of the
quadrupole doublet is found to be greater than that of
the magnetic sextet in the spectra of nearly all the
samples. This indicates that the iron oxide phases
produced are below the blocking volumes at room
temperature or blocking temperatures below room
temperature (fine particle sizes), hence, behaving
superparamagnetically. In brief; all samples show
doublet as indicative of superparamagnetic particles
of magnetite and slight hyperfine splitting. The MS
parameters are similar to all samples indicating that
the iron oxide particles have the same environment
for all samples. The slight difference of hyperfine
spectrum in samples suggests that small sized
particles are produced (fine nanoparticles) when iron
oxides nanoparticles were synthesized in presence of
PVOH-palmitoyl chloride matrix [30].
57
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 53-60
S1
S3
Relative Transmission (a.u.)
S2
-5
0
5
10
-10
-5
0
5
-10
10
-5
0
Velocity (mm/sec)
Velocity (mm/sec)
Velocity (mm/sec)
S4
S5
S6
5
10
5
10
Relative Transmission (a.u.)
-10
-10
-5
0
-10
10
5
Velocity (mm/sec)
-5
0
5
-10
10
-5
Velocity (mm/sec)
0
Velocity (mm/sec)
Relative Transmission (a.u.)
Fe3O4
-10
-5
0
5
10
Velocity (mm/sec)
Fig. 6. Mössbauer spectra of samples: S1, S2, S3, S4, S5, S6 and Fe3O4 sample.
5. Conclusions
In this research, we report the preparation of iron
oxide (Fe3O4) coated with PVOH polymer in
different number of palmatoyl chloride relative to
hydroxyl group on the backbone.
The XRD data used to determine the average size
of the Fe3O4 clusters is found to be around 10-13 nm.
The magnetization measurement on all samples is
58
carried out at different temperature, revealing that all
samples contain superparamagnetic contribution. The
paramagnetic
saturation
magnetization
was
calculated using Langevin function and found
to be between 4-9 emu/g for coated samples and
64 emu/g for Fe3O4 sample. The average magnetic
dipole moment was calculated to be around
20 Bohr magnetons.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 53-60
The Mössbauer data indicate that the samples
have superparamagnetic behavior and fine particles.
The isomer shift, the relative intensities and
quadruple splitting appear to be independent on the
number of palmatoyl chloride relative to number of
hydroxyl group, and this was confirmed by the value
of the slight hyperfine splitting.
In short, only the Fe3O4 sample is suitable for
practical medical applications such as, drug delivery
systems and biosensing purposes due to its
sufficiently high value of saturation magnetization
and attraction to magnet ability.
[13].
[14].
[15].
[16].
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
60
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 61-65
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Larger Selectivity of the V2O5 Nano-particles Sensitivity
to NO2 than NH3
1, 2, 3
1
Amos Adeleke Akande, 1 Bonex Wakufwa Mwakikunga,
2
Koena Erasmus Rammutla, 3 Augusto Machatine
DST/CSIR National Centre for Nano-Structured Materials, P O Box 395, Pretoria 0001,
South Africa
2
University of Limpopo, Department of Physics, P/Bag X1106, Sovenga, 0727, RSA
3
School of Physics, University of Pretoria, Pretoria, 0002, South Africa
1
Tel.: +27 12 841 4771, fax: +27 12 841 2229
1
E-mail: [email protected], [email protected]
Received: 26 March 2015 /Accepted: 31 August 2015 /Published: 30 September 2015
Abstract: V2O5 nanoparticles (NPs) were prepared using microwave irradiation technique and characterized
using X-ray diffraction (XRD), Raman spectroscopy (RS), Field emission scanning electron microscopy
(FESEM). The physiosorption analysis with the aid of Brunauer-Emmiter-Teller (BET) method shows high
surface area and relatively high pore diameter. The material’s gas sensing capabilities was tested for NH3 and
NO2 keeping operating temperature at 300 K. An increase in electrical resistance were observed for both NH3
(reducing gas) and NO2 (oxidizing gas). This increase in resistance has been explained from the fact that V2O5
possess both n-type and p-type conductivity with NH3 preferring to interact with the n-type phase and NO2
attaching to p-type adsorption sites. The sensitivity of the p-type V2O5 phase to NO2 is found to be 32 times
greater than the sensitivity of the n-type V2O5 phase to NH3. The results show that V2O5 is 32 times more
sensitive to NO2 than NH3. Copyright © 2015 IFSA Publishing, S. L.
Keywords: V2O5, Nano-particles, Selectivity, Sensitivity, NH3, NO2, Oxidizing gas, Reducing gas, n-type,
p-type, Conduction band.
1. Introduction
Nanoscale materials are very suitable for gas
detection at molecular level due to their inherent
small size, high conductance and large surface-tovolume ratio [1]. Wide band gap semiconductor
metal oxides like SnO2, ZnO, WO3, V2O5 and TiO2
are widely investigated materials for gas sensors
application because of their simplicity, easy to
synthesize, cost effective and capability of detecting
large number of toxic and volatile gases under
different conditions [1]. Vanadium has been
http://www.sensorsportal.com/HTML/DIGEST/P_2724.htm
extensively studied as semiconductor materials
because of its ability to exhibit metal-to-insulator
phase transition with respect to temperature and
pressure [2-3]. Vanadium pentoxide (V2O5) forms the
most stable oxide among other binary oxides of
vanadium, it exhibits orthorhombic crystallographic
structure at TC = 375 °C with a band gap of 2.5 eV
[3-4]. Sensing capability of V2O5 nanostructures has
been achieved for nitrogen monoxide [5] and
nitrogen dioxide and ethanol [5], the material has also
been applied in thermo-chromic window, electrochromic window and electrochemical devices [6]. In
61
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 61-65
this current work, we report the chemiresistive
properties of V2O5 NPs to NH3 and NOx gases.
2. Experimental
0.5 grams of Ammonia metavanadate NH4VO3
powder (purity 99.99 %) was ultrasonically dissolved
in 10 mL distilled water, and 5 moles of N2H2 reagent
was added drop-wise. The mixture was transferred
into 100 mL Teflon vessel and placed onto the
Multiwave 3000 Microwave reactor. The reactor
power was set to 600 W, the temperature was
maintained at 180 °C, and the reaction was allowed
to run for 20 minutes after which the reactor cooled
the vessels for 25 minutes. Afterwards, the resultant
mixture was collected by filtration and washed
repeatedly using isopropanol and acetone in an
ultrasonic bath to remove undesired impurities and to
minimise particle agglomeration. The final product
was dried at 100 °C for 11 hours.
The powder was characterized using a Panalytical
X’ pert Pro PW 3040/60 XRD equipped with Cu Kα
(λ=0.154nm) monochromatic radiation source. XRD
patterns were recorded at 45.0 kV and 40.0 mA from
2θ = 5 to 90°. Raman spectroscopic studies were
conducted using a Jobin–Yvon T64000 Raman
spectrograph with a 514.5 nm excitation wavelength
from an argon ion laser. The power of the laser at the
sample was low enough (0.384 mW) in order to
minimise localised heating of the sample. The
T64000 was operated in a single spectrograph mode,
with the1800 lines/mm grating and a 100x objective
on the microscope. Morphology studies were carried
out using a LEO 1525 field emission scanning
electron microscope (FESEM). BET analyses were
carried out using Micromeritics TriStar II series
Surface Area and Porosity instrument and a
Micromeritics sample degassing system from USA.
Fig. 1. Schematic diagram of KSGA565 KENOSISTEC
sensing station illustrating how the gas sensing
measurement was performed.
Fig. 2. XRD pattern of V2O5 NPs.
However, the development of VO2 monoclinic
phase was also observed at 2θ=27.6° [PCDPDFWIN
CAS No. 710042]. The crystallite size of the particles
was calculated using Debye Scherer’s model and
found to be 5 nm. The SEM micrograph of V2O5 NPs
in the Fig. 3 shows formation of sphere-like
colloidal particles.
3. Gas Sensor Test
Gas testing measurements were achieved using a
set-up (at the university of Cologne Germany) similar
to
the
KSGA565
KENOSISTEC
sensing
measurement illustrated in Fig. 1. The sensor was
prepared by dispersing V2O5 NPs in ethanol and
making a thick paste on the interdigitated electrode
and the test were performed by measuring change in
electrical resistance of different concentration of the
analyte using KEITHLEY picoammeter system.
4. Results and Discussion
Fig. 2 shows the XRD pattern of V2O5
nanoparticles (NPs) belonging to the orthorhombic
phase of V2O5. The broad diffractions at 2θ = 17° are
the characteristics of the orthorhombic V2O5 200
reflection [PCDPDFWIN CAS No. 890611].
62
Fig. 3. SEM micrograph of V2O5 NPs.
Raman specrum of V2O5 NPs in Fig. 4 shows
Raman active modes of V2O5. A strong peak at lower
frequency band 141 cm-1 corresponding to the Bg
symmetry while the high frequency vibration at
992 cm-1 corresponds to stretching of O-V-O atoms.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 61-65
Vibration modes at 282, 402 and 525 cm-1 are
resulting from the bending mode of V-O band while
the stretching mode at 692 cm-1 corresponds
to the motion parallel and perpendicular to ab-plane
[3, 7-8]. In agreement with XRD analysis, the
development of VO2 monoclinic vibration mode was
also observed at 194 cm-1 [9].
Fig. 5. N2 adsorption/dsorption isotherms profile of V2O5
NPs, insert is the BET plot.
The specific surface area SBET and pore
size/diameter (dpor) of 92.7 m2g-1 and dpor of 12 nm,
respectively, were determined by physisorption of
nitrogen according to BET theory as shown in Fig. 5.
The surface area and the nano-porous studies by
SEM and BET revealed the material’s potential in
gas and chemical sensor application.
The measured electrical response for different
NH3 concentrations is presented in Fig 6 (a), with
operating or substrate temperature kept at 28 °C. The
material showed good response to NH3, Fig. 6 (b)
shows linear profile for NH3 sensitivity plot, where
Rgas and Rair are the resistance of V2O5 NPs in the
presence of the analyte gas and air respectively
[10, 11]. The measured electrical response for
different NO2 concentrations is presented in Fig. 7 (a)
with operating temperature kept at 28 °C. The
material
showed
good
response
for
all
conncentrations. Increase in the electrical resistance
of V2O5 NPs sensor upon injection of the oxidising
gas NO2 shows p-type semiconductor behavour.
Fig. 7 (b) is the NO2 sensitivity profile.
(a)
(a)
(b)
(b)
Fig. 6. (a) The electrical response of V2O5 NPs for different
concentrations of NH3, (b) Sensor response as a function
of different NH3 gas concentrations.
Fig. 7. (a) The electrical response of V2O5 NPs for different
concentrations of NO2, (b) Sensor response as a function
of different NO2 gas concentrations.
Fig. 4. Raman spectrum of V2O5 NPs.
63
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 61-65
The proposed mechanism bases on the fact that
V2O5 is known to exhibit both p-type and n-type
conductivities [3-4]. The results show that NH3
prefers to interact with the n-type phases of V2O5. In
this case the NH3 molecule captures the adsorbed O2ions from the V2O5 surface and oxides to NO2 and H2
as depicted in Fig. 8. This process robs the n-type
phase of V2O5 of its electrons leading to less electron
population in the conduction band (CB) and hence
increase in resistance as shown in Fig. 6 (a).
assisted techniques. The SEM image and BET
nano-porous analysis revealed the large surface
property of the material. Electrical response for
different concentrations of these gases showed good
response, and the reaction mechanism between the
gases and sensor showed that V2O5 NPs is
predominantly a p-type semiconductor with a ratio of
p-type- to- n-type of 32:1. This suggests that for
every one electron in V2O5 there are 32 holes. We
conclude from the results that V2O5 is 32 times more
selective to NO2 than to NH3.
Acknowledgements
Support
from
the
India-Brazil-South
Africa trilateral cooperation under the National
Research Foundation (NRF) grant number
HGER24X is acknowledged. Amos A. Akande also
acknowledge Dr. Ella C. Linganiso for the sensing
measurement.
References
Fig. 8. Sensing mechanism of V2O5 NPs.
As for the proposed sensing scheme for NO2, the
results show increase in resistance regardless of the
fact that NO2 is an oxidising gas. This is clear
evidence that NO2 prefers to interact with the p-type
phase of V2O5. In this case NO2 interacts with holes
or vacancies in the adsorbed O2-. When such a hole
interacts with NO2, the NO2 is broken into N2 and
adsorbed O2-. Only N2 is released in the process
leaving behind the O2 as adsorbed at the V2O5 surface
as O2-. In the process the p-type phase will have
gained and electron or lost a hole in the conduction.
The loss of holes in the CB of a p-type V2O5 leads to
an increase in resistance as shown in Fig. 7 (a).
It is worth noting that the magnitude of responses
of V2O5 sensor to both NH3 and NO2 are many
magnitude different. The sensitivity of the n-type
phase to NH3 is calculated as the slope of the
response vs concentration curve in Fig. 6 (b). This
works out to be 3.47 × 10-3 ppm-1. When the same
sensitivity calculation is done for the p-type phase to
NO2 form Fig. 7 (b) one finds the value of 0.11. The
response of the p-type phase to NO2 is therefore
32 time greater than the sensitivity of the n-type
phase to NH3. Therefore, this V2O5 sensor is 32 times
more selective to NO2 than to NH3. This further
suggests that the V2O5 nanomaterials is
predominantly p-type.
7. Conclusions
We report gas sensing capability of vanadium
pentoxide nanoparticles synthesized using microwave
64
[1]. Vishah B., Samanta S., Singh A., Debnath A. K.,
Aman Mahajan, Bedi R. K., Aswal D. K.,
Gupta S. K., Chemiresistive gas sensing properties of
nanocrystalline Co3O4 thin films, Sensors &
Actuators, B: Chemical, Vol. 176, 2013, pp. 38-45.
[2]. Morin F. J., Oxides Which Show a Metal-to-Insulator
Transition at the Neel Temperature, Physical Review
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[3]. A. A. Akande, E. C. Linganiso, B. P. Dhonge, K. E.
Rammutla, A. Machatine, L. Prinsloo, H. Kunert, B.
W. Mwakikunga, Phase evolution of vanadium
oxides obtained through temperature programmed
calcinations of ammonium vanadate in hydrogen
atmosphere and their humidity, Materials Chemistry
and Physics, Vol. 151, 2015, pp. 206-214.
[4]. Rao M. C., Vanadium Pentoxide Cathode Material
for Fabrication of all Solid State Lithium-Ion
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[5]. Huotari J., Spetz A. L., Lappalainen Gas sensing
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[6]. A. A. Akande, K. E. Rammutla, T. Moyo, N.S.E
Osman, S. Nkosi, C.J. Jafta, B. W. Mwakikunga,
Magnetism variations and susceptibility hysteresis at
the metal-insulator phase transition temperature of
VO2 in a composite film containing vanadium oxides,
J. Magn. Magn. Mater., 375, 2015, pp 1-9.
[7]. Mwakikunga B. W., Sidras-Haddad E., Maaza M.,
First synthesis of vanadium dioxide by ultrasonic
nebula-spray pyrolysis, Optical Materials, Vol. 29,
2007, pp. 481-487.
[8]. Se-Hee Lee, Cheong H. M, Seong M., Liu J. P.,
Tracy C. E, Mascarenhas A., Pitts J. R., Deb S. K.,
Raman spectroscopic studies of amorphous vanadium
oxide thin films, Solid State Ionics, Vol. 165, 2003,
pp. 111-116.
[9]. Petrov G. I., Yakovlev V. V., Raman microscopy
analysis of phase transformation mechanisms in
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vanadium dioxide, Applied Physics Letters, Vol. 81,
No. 6, 2002, pp. 1023-1025.
[10]. Watchakun K., Samerjai T., Tamaekong N.,
Liewhiran C., Siriwong C., Kruefu V., Wisitsoraat
A., Tuantranont A., Phanichphant S., Semiconducting
metal oxides as sensors for environmentally
hazardous gases, Sensors & Actuators, B: Chemical,
Vol. 160, 2011, pp. 580-591.
[11]. Yu M., Liub X., Wang Y., Zheng Y., Zhang J., M. Li,
Lan W., Q. Su, Gas sensing properties of p-type
semiconducting vanadium oxide nanotubes, Applied
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___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
65
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 66-73
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Surface Morphology, Compositional, Optical
and Electrical Properties of TiO2 Thin Films
S. S. Roy, A. H. Bhuiyan
Department of Physics, Bangladesh University of Engineering and Technology,
Dhaka-1000, Bangladesh
Tel.: 88-01711983489
E-mail: [email protected]
Received: 31 August 2015 /Accepted: 28 September 2015 /Published: 30 September 2015
Abstract: Titanium oxide (TiO2) thin films have been deposited on to glass substrate by spray pyrolysis
deposition technique (SPDT). The surface morphological, structural, electrical and optical properties of the asdeposited TiO2 thin films have been investigated as a function of substrate temperature (Ts). The scanning
electron micrographs of as-deposited films showed uniform surface of TiO2 thin films. Elemental analysis
clearly showed that the grains were typically comprised of both Ti and O in the thin films. Strong diffraction
peaks (101) and (200) at 25° and 48° respectively indicating TiO2 in the anatase phase .The peaks were found to
shift slightly from their standard positions at higher Ts, and there was some deviation in the lattice parameters.
The crystallite size is found to be around 13 nm. The optical transmission of the thin films was found to increase
from 73 to 89 % and the band gap energy shifts from 3.64 to 3.40 eV with increase of Ts. The room temperature
dc electrical resistivity varies from 42 to 27 ohm.cm for the thin films grown at different Ts. Copyright © 2015
IFSA Publishing, S. L.
Keywords: TiO2, SPDT, Ts, Anatase, Optical band gap, DC electrical resistivity.
1. Introduction
The increasing demands for microelectronics and
microstructural components in different branches of
science and technology have greatly expanded the
sphere of research of thin films [1-2]. Transparent
and conducting oxides (TCOs) such as zinc oxide
(ZnO), titanium oxide (TiO2), nickel oxide (NiO),
indium oxide (In2Ox), aluminum oxide (Al2O3), tin
oxide (SnO2) etc. are used for a variety of
applications including architectural windows, solar
cells, flat-panel displays, smart windows, polymerbased electronics etc. [3-8]. From these materials,
TiO2 shows unique characteristics in chemical
inertness, stability to heat treatment and mechanical
hardness. Compact TiO2 thin films deposited on
conducting glass are used in new types of solar cells:
66
liquid and solid dye-sensitized photo electrochemical
devices among other uses [9-10].
TiO2 photocatalyst films having an anatase crystal
structure with different thicknesses were prepared by
the low-pressure metal– organic chemical vapor
deposition (LPMOCVD) to examine the effect of
growth conditions on photocatalytic activity [11].
Film thickness was linearly proportional to the
deposition time. Structure of the film was strongly
dependent on the deposition time. The optimum
thickness of TiO2 catalyst film grown by LPMOCVD
may locate between 3 and 5 μm. M/TiO2 (M = metal;
Ag, Cu) thin films on quartz glass were prepared by
radio frequency (rf) magnetron co-sputtering process
and the calcination effects on their optical and
structural properties were investigated [12]. These
films were amorphous below 300 oC, and these were
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 66-73
anatase phase at 300–700 °C. The crystallite size of
the anatase phase and the agglomerates of primary
particles of the M/TiO2 thin films increase with
increasing calcination temperature. Preparation of
TiO2 films with superior optical and structural
characteristics was attempted using a conventional
RF magnetron sputtering by modifying deposition
variables, such as the substrate temperature (Ts) and
the gas composition in the sputtering ambient [4].
TiO2 thin films with higher refractive index and
better homogeneity were obtained with substrate
heating between 200 °C and 400 °C. TiO2 thin films
were prepared by chemical spray pyrolysis from
aqueous solutions and it was shown that it had three
different kinds of polymorphous crystalline forms:
rutile, anatase, and brookite [13]. The rutile phase is
always formed at higher temperatures, while the
anatase phase is formed at lower temperatures and
transformed into rutile phase above Ts of 800 ºC and
the refractive index lies in the range between
2.01–2.29. TiO2 thin films prepared with and without
lithium (Li) and niobium (Nb) were uniform, crackfree, stoichiometric, and amorphous when deposited
at 300 °C and below; and were polycrystalline
anatase when deposited at 400 °C. Films prepared
around 200 °C were very porous, but the porosity
was decreased as the Ts increased [14]. Optical
absorption spectra revealed an indirect band gap of
3.0 eV for amorphous and anatase films and a direct
band gap of the same value in rutile. Dark dc
conductivity of undoped films was lower than
10-10 (Ohm.cm)-1. The presence of Nb and Li
increased the conductivity by 2–3 orders of
magnitude, similar to the effect of hydrogen
annealing. TiO2 thin films were obtained using the
MOCVD method [15], film thickness increased with
deposition time as expected, while the transmittance
varied from 72 to 91 % and the refractive index
remained close to 2.6. It is observed that there are
many techniques, including solgel, sputtering,
MOCVD, evaporation and chemical vapour or spray
deposition, by which the TiO2 films may be deposited
on to glass substrates [12-16]. In this study, TiO2 thin
films were prepared by the spray pyrolysis deposition
technique (SPDT) which is particularly attractive
because of its simplicity, fast, inexpensive, and
suitable for mass production [16]. So, the aim is to
grow TiO2 thin film by SPDT and to study the effect
of the Ts on the structural, optical and electrical
properties of TiO2 thin films.
2. Experimental Details
TiO2 thin films were deposited using homemade
spray pyrolysis set up from aqueous solution of
titanium chloride (TiCl4). 0.1M of TiCl4 was added
with 50 ml water and 50 ml ethanol for precursor
solution for TiO2 thin film. The distance between
substrate to spray nozzle was 25 cm and air pressure
was 1 bar. To enhance the solubility of prepared
solution, a few drops of HCl were added. The
transparent solution thus obtained and subsequently
diluted by ethanol, served as the precursor. The
solution was sprayed onto the organic solvent and
ultrasonically cleaned glass substrates heated at five
different Ts, namely 250, 300, 350, 400 and 450 °C.
Ts was recorded using a cromel-alumel
thermocouple. The flow rate of the solution during
spraying was adjusted at about 1 ml/min and was
kept constant throughout the experiment and the
spray time was 5 min. For each concentration the
reproducibility of the thin films was verified by
repeating the experiments several times. The main
reaction which leads to the formation of TiO2 may
takes place as follows:
TiCl4 + O2 (g)
→
TiO2 (s) + 2Cl2 (g) ↑ .
The surface morphology of the films was examined
by a HITACHI S-3400N model scanning electron
microscope (SEM), the elemental analysis was
performed by an electron dispersive spectrometer
attached to the SEM, X-ray diffraction (XRD)
patterns were recorded by a Philips PW3040 X’Pert
PRO X-ray diffractometer. The optical transmission
spectra for as-deposited thin films were obtained in
the ultraviolet (UV) UV-visible (UV-vis.) and near
infrared regions (300-1100 nm) using a UV-VIS
spectrophotometer (Model: 1201V, Shimazdu,
Japan). Electrical resistivity of the thin films was
measured at room temperature by Vander Pauw
technique. The temperature dependence of the
electrical conductivity was also measured.
3. Results and Discussion
3.1. Surface Morphological and Elemental
Analysis
SEM images were recorded to examine the
surface morphology of the as deposited TiO2 thin
films and these images are shown in Fig. 1 (a, b, c,
d). The surface of the thin film is uniform and
homogeneous. SEM images show that there are no
remarkable grains and impurity for the TiO2 thin
films. SEM images reveal that sprayed particles
(atoms) are absorbed onto the glass substrate into
clusters as the primary stage of nucleation. It was
observed that the coating was transparent and
homogeneous without any visual cracking over a
wide area. Multiple coating increased thickness, but
did not affect the uniformity of the thin film. SEM
micrographs reveal the formation of particles with
different shapes and sizes. So, the SEM surface
studies of TiO2 films exhibit a smooth and
homogeneous growth on the entire surface. EDX
analysis revealed the presence of titanium (Ti) and
oxygen (O) and confirm the formation of TiO2 thin
films through the chemical oxidation route free from
impurities (Table 1). This implies that the prepared
samples are made up of Ti and O.
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 66-73
Table 1. Quantitative results of TiO2 thin films from EDX
analysis.
Ts (oC)
250
400
450
Element (Atom %)
Ti
O
55.23
44.63
67.34
32.22
60.12
39.34
3.2. X-ray Diffraction Analysis
XRD patterns for TiO2 thin films synthesized at
different Ts are shown in Fig. 2. XRD patterns of
TiO2 thin films indicate that the sample prepared at
Ts of 250 °C was amorphous where these prepared at
Ts viz, 300, 350, 400 and 450 °C were crystalline
nature and there was no indication of other crystalline
by-products. These diffraction patterns show that the
TiO2 thin film contains only anatase, which is well
known as the most suitable structure for the
photocatalysis. The diffraction peaks observed at 2θ
values of 25.25, 38.05, and 48.5° correspond to the
diffraction lines produced by (101), (004), and (200)
planes of the tetragonal structure with anatase phase
and the diffraction data were in good agreement with
data of 2θ and peak respectively [17-18].
10 μm
(a)
10 μm
(b)
10 μm
(c)
10 μm
(d)
Fig. 1. SEM images of TiO2 thin films at Ts (a) 250; (b) 350; (c) 400; and (d) 450 ºC.
The (101) surface of TiO2 thin film is
energetically the most stable and the predominant
crystal face found in polycrystalline samples. Strong
diffraction peaks at 25° and 48° are indicating TiO2
in the anatase phase [19]. The intensity of XRD
peaks of the sample reflects that the formed are
crystalline and broad diffraction peaks indicate the
size of crystallite is very small. XRD data of TiO2
crystallite size was obtained by Debye-Scherrer’s
formula [20]. The crystallite sizes (D) and the lattice
68
constants (a = b, c) are calculated from the XRD
patterns and these values are given in Table 2. No
trace of rutile was found in the as-deposited films
regardless of deposition temperature. The increase of
Ts increases the intensity of the peaks, it is due to the
crystallinity of the TiO2 improves progressively. It is
noticed that no additional XRD peaks corresponding
to Ts> 250 oC. The values of average crystallite size
(D) is in the range 12.74–13.05 nm for Ts of 300 to
450 oC. This means that the homogeneity of the thin
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 66-73
o
450 C
0.9
Transmittance, T (%)
0.8
o
400 C
Intensity (a.u)
high transmittance may be attributed to less scattering
due to the decrease in the degree of irregularity in the
grain size distribution [22].
(200)
(004)
(101)
film is improved with substrate heating during the
film deposition.
o
350 C
o
300 C
0.7
0.6
0.5
0.4
o
250 C
o
300 C
o
350 C
o
400 C
o
450 C
0.3
0.2
0.1
o
250 C
0.0
20
25
30
35
2θ
40
45
200
50
Table 2. XRD data for the TiO2 thin films at various Ts.
D (nm)
12.7417
12.8498
12.8702
13.0451
600
800
1000
1200
Wavelength (nm)
Fig. 2. XRD patterns of TiO2 thin film synthesized
at various Ts.
Ts (°C)
250
300
350
400
450
400
a, c (Å)
3.7870, 9.5194
3.7829, 9.0856
3.8072, 8.9276
3.8035, 8.9640
Fig. 3. Optical transmittance vs. wavelength of films
at various Ts.
The optical band gap of semiconductors is
determined using the Tauc formula [23]. Fig. 4 shows
the (αhν)2 as a function of hν for the TiO2 thin films
deposited at various Ts. The α was found in the order
of 105 m-1 which may be suitable for a transparent
conducting film.
In Fig. 4, it is observed that α first increases
slowly in the low energy region and then increases
sharply near the absorption edge so the value of the α
depends on Ts.
3.3. Optical Properties
3.3.1. Transmittance and Optical Band Gap
Transmission spectra were taken in the range of
300 to 1100 nm for TiO2 thin films and are shown in
Fig. 3. It is seen from the graph that the value of
transmittance is high in the visible and IR region, it is
minimum at wavelength ~ 400 nm. Films prepared at Ts
of 250 ºC exhibit a transmission of > 65 %, again it is
found > 75% in the visible and infrared regions for
TiO2 thin films prepared at Ts of 400 ºC.
An average of 75 to 85 % transmittance is
observed in the wavelength range of 800-1100 nm
and below 600 nm transmittance decreases gradually.
The transmittance increases from 10 to 15 % with Ts,
and shows the highest transmittance of about 88 %
for the thin films grown at Ts of 400 °C. The shift in
the fundamental absorption edge is due to the
structural changes as revealed by XRD analysis. The
transmittance of the films is also influenced by a
number of effects, which include surface roughness
and optical in homogeneity in the direction normal to
the film surface. The increase in transmittance may
be due to the transition of the TiO2 films from
amorphous to polycrystalline structure and relatively
( α h ν ) 2 (m -1e V ) 2
2.00E+015
250
300
350
400
450
1.50E+015
1.00E+015
o
C
C
o
C
o
C
o
C
o
5.00E+014
0.00E+000
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
hν (eV)
Fig. 4. Variation of (αhυ)2 with (hυ) TiO2 thin
for TiO2 thin films at various Ts.
The Eg of the TiO2 thin films decreases when Ts
increases. At Ts of 250 °C the Eg was found to be
3.62 eV and a minimum value 3.40 eV was observed
at Ts of 400 °C. The value of the Eg for Ts of 450 °C
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 66-73
is same as that of 400 oC. It can be seen that a band
gap tuning of 0.22 eV occurs when Ts is changed by
about 150 °C.by increasing of Ts. It may be due to the
surface morphology and structure of the TiO2 thin
films no change and no disorderness. The observed
band gap values are in good agreement with reported
values between 3.2 and 3.9 eV [16].
concentration for neutral defects and stochiometric
changes of the films. The conductivity of the
prepared TiO2 thin films increases as Ts increases as
shown in Fig. 7.
0.24
0.22
The of refractive index, n for TiO2 thin films
decreases with Ts, as shown in Fig. 5. N of TiO2 thin
film has been obtained to be 2.75 at Ts of 250 °C and
it became lowest 2.55 at Ts of 400° C. This value is
lower than the reported value 2.80 of TiO2 thin film
[24] and it is lower than that of bulk TiO2 and this
low value of refractive index may probably be due to
the smaller density of the films which is suggested by
Arai [25].
Extinction coefficient, k
0.20
3.3.2. Refractive Index and Extinction
Coefficient
250
300
350
400
450
0.18
0.16
0.14
0.12
C
C
C
o
C
o
C
o
O
0.10
0.08
0.06
0.04
0.02
200
400
600
800
Wavelength (nm)
1000
1200
Fig. 6. Variation of extinction coefficient
with wavelength at various Ts.
2.8
Refractive Index. n
2.7
2.5
2.4
200
250
300
350o
Ts ( C)
400
450
500
Fig. 5. Variation of refractive index with Ts.
Resistivity, ρ (Ohm.cm)
2.6
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
250
It is observed that refractive index decreases as Ts
increases. It may be due to the decrease of impurity
in the film. The variation of extinction coefficient, k
with wavelength is shown in Fig. 6. It is observed
that k increases with the increase of Ts. The rise and
fall in k is directly related to the absorption of light.
The k about 0.05 in the range of wavelength
500-1100 nm is very close to the reported value of
TiO2 thin films prepared by DC magnetron sputtering
method [24].
3.4. Electrical Properties
The variation of the resistivity, ρ of TiO2 thin
films as a function of Ts is shown in Fig. 7. It is
observed that ρ of the as-deposited TiO2 thin films is
decreased with increasing Ts. This behavior indicates
the semiconducting nature of the TiO2 thin films. The
decrease of resistivity means increase of conductivity
with temperature which may due to the increase of
carrier mobility or due to increase of carrier
70
o
300
350
400
o
Substrate Temperature, Ts ( C)
450
Fig. 7. Electrical resistivity vs. Ts of TiO2 thin films.
It may be due to increase in the free path of
carrier concentration. At high temperature the
mechanism of impurities thermal activation becomes
the dominant one. The increase in σ is due to the
increase in the crystalline nature as the temperature
increases. Consequently, Ti4+ ions have more
concentration in the films obtained at high Ts.
Regarding the O2- ions, which results in an increase
of the free electron concentration after there is a
decrease in the resistivity of the films [26-27]. On the
other hand, the increase in the conductivity with
temperature can also be explained as follows: the
grain size increases with temperature which leads to a
decrease in grain boundaries and hence resistivity
[21, 28]. This is clearly understood from Fig. 2 where
one can see a single phase structure of TiO2 thin film.
The single phase structure enhances the electron
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 66-73
mobility thus improve the conductivity [29]. So the
high electrical conductivity has been found for TiO2
thin films deposited at Ts of 400 oC.
The activation energy (ΔE) is calculated from the
0.25
-1.6
-1.8
-2.0
-2.2
-2.4
-2.6
-2.8
-3.0
-3.2
-3.4
-3.6
-3.8
2.0
Figure of Merit (ohm.cm)
-1
ln σ ((Ohm.cm) )
-1
slope of the curves lnσ vs. (1/T) in Fig. 8 and the
variation of ΔE with different Ts is shown in Fig. 9.
The low value ΔE may be associated with the
localized levels hopping due to the excitation of
carriers from donor band to the conduction band. So
the low value of ΔE indicates that the prepared
sample is stoichiometric.
0.2238 Ω−1cm−1. The increase in the figure of merit of
the TiO2 thin films is mainly due to the increase in
the optical transmittance with increasing Ts. The
experimental data suggest that Ts of 400 °C is the
best Ts with other conditions for depositing highquality TiO2 thin films.
o
250 C
o
300 C
o
350 C
o
400 C
o
450 C
0.20
0.15
0.10
0.05
250
300
350
400
450
o
Ts ( C)
Fig. 10. Variation of figure of merit versus Ts.
2.2
2.4
2.6
2.8
3.0
-1
1000/T (K )
3.2
3.4
4. Conclusions
Fig. 8. Electrical conductivity (lnσ) vs. inverse of absolute
temperature of TiO2 thin films at various Ts.
0.030
Activation Energy (eV)
0.025
0.020
0.015
0.010
0.005
250
300
350
o
Ts ( C)
400
450
Fig. 9. Variation of activation energy versus Ts. of TiO2
thin films.
The Figure of merit is well-known as an index for
evaluating the performance of transparent conducting
films, and it is given by the equation F = (− ρlnT)−1
where ρ is the electrical resistivity and T is the
average transmittance in the wavelength range of
800-1100 nm [17]. Fig. 10 shows the figure of merit
values of TiO2 thin films deposited at various Ts. The
figure of merit for the TiO2 thin films deposited at Ts
of 250 - 400 °C were found to be 0.0666 -
Transparent and homogeneous TiO2 thin films
have been prepared using TiCl4, ethanol and water by
employing a simple and inexpensive spray pyrolysis
deposition technique. Roughness of TiO2 thin film is
decrease with increasing Ts. The XRD pattern of thin
films shows a single anatase phase with a strong peak
(101) and particle size 13 of nm. The average
transmittance of the TiO2 film were about 75 % in the
wavelength range of 600-1100 nm, the optical band
gap 3.4 eV, and the lowest value of refractive index
2.55 at Ts of 400 °C.
The resistivity of TiO2 thin film decreases as Ts
increases. The minimum resistivity is found to be
27 Ω-cm for TiO2 thin film deposited at Ts = 400 °C.
The highest figure of merit occurred for the film
grown at 400 °C with an optical transmittance about
85 % in the wavelength range of 800-1100 nm.
Activation energy of TiO2 thin films varies in the
range of 0.010 to 0.028 eV for different Ts. The
results suggest that high-quality TiO2 thin film can be
produced when deposited at a growth temperature of
400 °C. The obtained experimental results indicate
the suitability of this material as transparent and
conducting window materials in thin film solar cells
and gas sensor devices.
Acknowledgement
The authors would like to thank Bangladesh
University of Engineering and Technology (BUET),
Dhaka, Bangladesh for supporting this research work.
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 66-73
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________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
73
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 74-80
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Non-destructive Testing of Wood Defects
Based on Discriminant Analysis Method
Wenshu LIN and Jinzhuo WU
College of Engineering and Technology, Northeast Forestry University, Harbin 150040, China
Tel.: (86) 0451-82191853, fax: (86) 0451-82190631
E-mail: [email protected], [email protected]
Received: 16 July 2014 /Accepted: 31 August 2014 /Published: 30 September 2015
Abstract: The defects of wood samples were tested by the technique of stress wave and ultrasonic technology,
and the testing results were comparatively analyzed by using the Fisher discriminant analysis in the statistic
software of SPSS. The differences of defect detection sensitivity and accuracy for stress wave and ultrasonic
under different wood properties and defects were concluded. Therefore, in practical applications, according to
different situations the corresponding wood non-destructive testing method should be used, or the two detection
methods are applied at the same time in order to compensate for its shortcomings with each other to improve the
ability to distinguish the timber defects. The results can provide a reference for further improvement of the
reliability of timber defects detection. Copyright © 2015 IFSA Publishing, S. L.
Keywords: Wood sampling, Defect, Stress wave, Ultrasonic, Discriminant analysis method.
1. Introduction
Wood non-destructive testing technology is a new
and comprehensive detection method, which can
detect and evaluate the physical properties of wood,
growth characteristics, mechanical properties, and
wood defects without destroying the final value of
the wood. Among the non-destructive testing method,
any method has its own advantages and
disadvantages, and the effects on wood defect
detection are different. In addition, wood is a natural
material and its properties are very complex. Under
different wood properties (water content and density)
and different defect types, shape, size and position of
the distribution conditions, the accuracy and
precision of wood non-destructive testing method
have some differences, so the reliability of testing
was different. The timber defects testing reliability
problems can be seen as wood defects detection rate
and misjudgment rate.
Discriminant analysis is an important statistical
method. It is a multivariate statistical analysis
74
method, and is used to determine the ownership of an
objects based on its various characteristic values
under the defined classification conditions. The basic
principle is based on a certain criterion to create one
or more discriminant functions, with large amount of
data of the study object to determine the discriminant
function coefficients to be determined and calculated
discriminant index. Then what kind of a sample
belonged to can be determined [1]. Therefore, the
sample’s misjudgment rate can be obtained by using
discriminant analysis. In this study, the Fisher
discriminant analysis was used to distinguish the
different classes.
Since stress wave and ultrasonic can detect the
wood detection accurately, so many researchers focus
on studying these two waves, and a series of results
have been achieved [2-8]. However, the sensitivity of
the defect and defect detection reliability are different
for two waves when the timber properties and the
impact of external conditions are different. Therefore,
each testing method has its own advantages and
disadvantages. For the better application of stress
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 74-80
wave and ultrasonic flaw detection on wood, these
two detection methods must do in-depth research. At
present, for both waves detection in wood properties
comparative study is relatively rare, while the
detection of internal defects in wood comparative
studies have not been conducted.
the wood, and two sensors was used to induct the
change of wave, and the propagation data was shown
on the screen of the laptop. Based on the propagation
time and velocity, the wood properties (such as
modulus of elasticity and defects) were determined.
Wood sample
Sensor 2
Sensor 1
2. Materials and Methods
Small hammer
2.1. Wood Samples
Elm is one of the popular tree species in the
northeast of China; therefore the elm (Ulmus rubra)
wood samples were used in this study. The elms were
obtained from Fangzheng Forestry Bureau located in
Heilongjiang Province, and then were delivered to
the Wood Manufacturing Factory of Northeast
Forestry University and processed to wood samples.
The specifications for wood samples were
300 mm×50 mm (length × width × height). The
moisture content of the wood samples is around 9 %
due to the long time stored after being processed. The
wood samples include intact samples and samples
with defects, and the number for each type of wood
samples was 16. Each group of wood samples was
labeled before processing and testing in order to deal
with the tested data easily. Wood defects include
natural defects (such as wood cracks and decays) and
artificial defects (holes and cracks) in this study.
Artificial defects were conducive to quantify the
extent of the defect. The detail processing methods
are as follows: From the intact wood samples, the
diameter of hole with 10 mm and 20 mm were
produced, and the number of holes ranges from 1 to
3, and the quantities of each type of holes were 16,
and the locations of holes along the axis. In addition,
a crack was sawn on the intact wood samples, and the
depth of crack was 3 mm, and the shape of crack was
arc. The locations of the holes and cracks are
illustrated in Fig. 1.
Fig. 1. Locations of holes and cracks.
2.2. Testing Method
2.2.1. Stress Wave Testing
A) Testing Method.
The impact stress wave method was used in the
study. Two probes were nailed on both ends of the
wood sample, and sensors were hanged on the probes
(Fig. 2). When hitting the sensor by using a small
hammer, stress wave was generated in the interior of
Laptop
Stress wave testing instrument
Fig. 2. Principle of testing wood defects using stress
wave technology.
B). Testing system.
The stress wave detector ARBOTOM imported
from Germany was used in the experiment. The
ARBOTOM detector is mainly used to measure the
internal situation of wood. The propagation velocity
of stress wave and wood density is highly correlated,
so the ARBOTOM can be used to collect the
information of wood internal defects. Before testing,
some parameter values should be input, such as the
number of sensors, the distance of all sensors, the
unit of distance, the height of sensors above ground,
the PC port, filtering mode, the name of tree species,
and so on.
2.2.2. Ultrasonic Testing
A) Testing Method.
In this paper, the so-called penetration method
was used in the test. On one end of the wood sample,
an emission transducer and ultrasonic pulse wave are
localized and on the other end a receiving transducer
is set up, so that the ultrasound can travel through the
wood sample. The received ultrasonic signal is
converted into electrical signal and amplified by an
amplifier. By the simulated digital converter, the
signal is converted into digital information and stored
in a computer. After proper processing using specific
procedures, we can obtain the ultrasonic parameters
such as propagation time, velocity, and amplitude.
Based on the propagation parameters, we can judge
whether there are inner defects in the wood sample.
The principle of testing wood defects using
ultrasound is illustrated in Fig. 3.
B) Testing System.
The testing instrument used in the paper is RSMSY5 ultrasonic tester made by Wuhan Institute of
Rock and Soil Mechanics, China. The data collection
software in the tester can adjust the testing
parameters, signal collection mode, and storage and
open functions of the signal. Meanwhile, the wave
75
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 74-80
and frequency forms can be obtained together with
the transit parameters including propagation time,
velocity, and elastic modulus. These wave forms can
be further analyzed and processed.
Wood sample
Receiving
Emission
Ultrasound
Ultrasonic tester
Fig. 3. Principle of testing wood defects
using ultrasonic technology.
the correct number of specimensof discriminant
× 100%
total number of specimensin each group
(1)
thecorrectnumberof specimens
tobedetermined
×100%
totalnumberof specimens
tobedetermined
in eachgroup
(2)
CRBS =
CRD=
According to Eqs. (1) and (2), the number of
specimens correctly classified was 11, 9, 8 and 10 for
the four groups of stress wave tested specimens, and
the corresponding correct rate of back substitution
was 100 %, 81.82 %, 72.73 %, and 90.91 %,
respectively. The correct rate of disriminant
for the specimens to be determined was
12 / 20 ×100 % = 60 % . The misjudgment rate for the
four groups by using the stress wave testing is
presented in Table 1.
Table 1. The misjudgment rate for the number of holes
of specimens by stress wave and ultrasonic testing.
3. Results and Analysis
Groups
3.1. Effects of the Number of Holes on the
Parameters and Dynamic Elastic
Modulus for the Two Waves
The specimens were divided into four groups
based on the number of holes with 20 mm diameter
and intact samples. Each group contains
11 specimens. A total of 20 specimens will be judged
with 5 specimens in each group. The specimen’s
moisture content, density, wave velocity and elastic
modulus were used as the data index in the
discriminant analysis. In order to facilitate the
calculation, Let X1 represent moisture, X2 represent
the density, X3 represent the velocity of propagation,
and X4 represent the elastic modulus, and the
discriminant analysis method in the multivariate
statistical analysis software SPSS was used for
the comparisons.
3.1.1. The Discriminant Analysis for Stress
Wave Testing
Based on the Classification Function Coefficients
(Fisher's Discriminant Function Coefficients) table,
four groups of linear discriminant functions were
derived as follow:
y1=-12.050-0.0768X1-38.286X244.329X3+85.322X4,
y2=-2.416-0.02444X1+19.061X2+22.348X338.041X4,
y3=-3.321+1.604X1+12.231X2+14.742X329.825X4,
y4=-5.092-0.577X1+1.463X2-0.134X3-5.092X4.
The following functions were used to calculate
the correct rate of back substitution and disriminant,
where CRBS represents the correct rate of back
substitution, and CRD represents the correct rate
of disriminant.
76
1
2
3
4
Stress wave testing
Ultrasonic testing
1
2
3
4 1
2
3
4
20 %
0
0
- 20 % 0
0
20 %
20 % 0 20 % 0 20 %
0
60 %
0 0 20 % - 20 %
0
20 % 20 % 0
0 40 % -
Based on the correct rate of back substitution, we
can see that the correct rate of back substitution
increased as the number of holes increased. There are
misjudgment situations for these two groups: intact
and one-hole specimens, two-hole and three-hole
specimens, which illustrates that stress wave testing
cannot accurately judge the specimens with fewer
inner defects. However, the stress wave is able to
distinguish the specimens with 3 holes and
intact specimens.
3.1.2. The Discriminant Analysis for
Ultrasonic Testing
Based on the Classification Function Coefficients
(Fisher's Discriminant Function Coefficients) table,
four groups of linear discriminant functions were
derived as follow:
y1=-9.177-0.415X1-22.251X2-27.553X3+52.680X4,
y2=-2.259+0.509X1+7.700X2+11.231X3-17.719X4,
y3=-2.881+1.690X1+10.061X2+13.187X324.747X4,
y4=-3.903-1.386X1+2.638X2+1.478X3-7.250X4.
Based on Eqs. (1) and (2), the number of
specimens correctly classified was 11, 9, 9 and 10 for
the four groups of ultrasonic tested specimens, and
the corresponding correct rate of back substitution
was 100 %, 81.82 %, 81.82 %, and 90.91 %,
respectively. The correct rate of disriminant
or the specimens to be determined was
13 / 20 × 100% = 65% . The misjudgment rate for the
number of holes of specimens by using ultrasonic
testing is presented in Table 1.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 74-80
From the correct rate of back substitution, we can
see that the correct rate of back substitution increased
as the number of holes increased. There are
misjudgment situations for these two groups:
intact and one-hole specimens, two-hole and threehole specimens.
3.1.3. Comparative Analysis Between Stress
Wave and Ultrasonic Testing
When the number of holes is fewer, the correct
rate is lower for both waves based on the
misjudgment rate for stress wave and ultrasonic
detection, but the misjudgment rate is relatively
lower by using the ultrasonic testing method. From
the correct rate of specimens to be determined, the
probability of detection using ultrasonic is greater
than stress waves, which illustrates that ultrasonic is
more sensitive than stress wave when testing the
specimens with holes. The discrimination results
figures (Fig. 4) also indicate that the grouping is
better when using ultrasonic.
Canonical Discriminant Functions
4
3
Group
2
1
Ungrouped Cases
3
1
4
-1
4
-6
-4
-2
3.2.1. The Discriminant Analysis for Stress
Wave Testing
Based on the Classification Function Coefficients
(Fisher's Discriminant Function Coefficients) table,
three groups of linear discriminant functions were
derived as follow:
y1=-3.719+1.565X1-13.435X2-10.729X3+22.296X4,
y2=-2.500-2.245X1+7.512X2+3.218X3-5.281X4,
y3=-4.333+1.275X1+0.721X2+2.962X3-8.349X4.
Based on Eqs (1) and (2), the number of
specimens correctly classified was 10, 10 and 11 for
the three groups using stress wave, and the
corresponding correct rate of back substitution was
90.91 %, 90.91 %, and 100 %, respectively. The
correct rate of disriminant for the specimens to be
determined
was
8/15×100%=53.3 %.
The
misjudgment rate for the specimens with
different hole size by using the stress wave testing is
shown in Table 2.
0
2
Table 2. The misjudgment rate for the specimens
with different hole size by stress wave
and ultrasonic testing.
3
-2
-3
-4
-8
The specimens were divided into three groups
based on the sizes of the holes. Each group contains
11 specimens. A total of 15 specimens will be judged
with 5 specimens in each group.
Group Centroids
2
0
3.2. Comparison of the Effects of the Size of
Holes on the Two Waves
2
Groups
1
1
2
3
4
Stress wave testing
1
2
3
20 % 20 %
20 %
40 %
20 % 20 %
-
Ultrasonic testing
1
2
3
20 % 20 %
20 %
40 %
20 %
0
-
(a) Stress wave testing
Canonical Discriminant Functions
3
2
Group
2
1
3
0
Group Centroids
1
Ungrouped Cases
-1
4
4
-2
3
-3
-4
-5
-8
It is noted that the smaller the size of holes, the
lower the correct rate of back substitution based on
the correct rate of back substitution. The judgment
results are not very good for the specimens with hole
size of 10 mm. The misjudgment rate was improved
when the hole size increased to 20 mm, however
there is still misjudgment situation. Based on the
correct judgment rate for the specimens to be
determined, the probability of correct classification
was also low by using stress wave testing.
2
1
-6
-4
-2
0
2
4
(b) Ultrasonic testing
Fig. 4. Discrimination results for specimens with different
number of holes by stress wave and ultrasonic testing.
3.2.2. The Discriminant Analysis for
Ultrasonic Testing
Based on the Classification Function Coefficients
(Fisher's Discriminant Function Coefficients) table,
three groups of linear discriminant functions were
derived as follow:
y1=-3.252+1.391X1-7.108X2-7.752X3+13.875X4,
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 74-80
y2=-2.407-2.033X1+8.788X2+4.295X3-7.650X4,
y3=-4.043+0.992X1+0.239X2+4.149X3-7.586X4.
Based on Eqs. (1) and (2), the number of
specimens correctly classified was 8, 11 and 11 for
the three groups using ultrasonic testing, and the
corresponding correct rate of back substitution was
72.73 %, 100 % and 100 %, respectively. The correct
rate of disriminant for the specimens to be
determined
was
9/15×100 %=60 %.
The
misjudgment rate for the specimens with different
hole size by using ultrasonic testing is
shown in Table 2.
The judgment results are not very good for the
specimens with hole size of 10 mm. Similar to the
results using stress wave testing, the misjudgment
was improved when the hole size was changed to
20 mm. The correct judgment rate of for the
specimens (20 mm) to be determined was also higher
by using ultrasonic testing.
number of specimens correctly classified was 9, 9, 7
and 8 for the four groups with different types of
defects, and the corresponding correct rate of back
substitution was 81.82 %, 81.82 %, 63.6 % and 80 %,
respectively. The correct rate of disriminant for the
specimens to be determined was 13/20×100 %=65 %.
The misjudgment rate for the types of defects of
specimens by using the stress wave testing is shown
in Table 3.
Canonical Discriminant Functions
4
3
Group
2
2
1
0
Ungrouped Cases
3
1
-1
3.2.3. Comparative Analysis Between Stress
Wave and Ultrasonic Testing
From the misjudgment rate for stress wave and
ultrasonic detection, it is noted that when the size of
the hole is smaller, the correct rate is lower for both
waves. From the correct rate of specimens to be
determined, the probability of detection using
ultrasonic is greater than stress waves, especially for
the specimens’ holes with diameter of 20 mm. The
discrimination results figures (Fig. 5) also indicate
that the grouping is better when ultrasonic testing
is applied.
3.3. Comparison of the Effects of the Defect
Types on the Two Waves
Wood defects include decay, hole, and crack. In
the study, all the specimens were divided into four
groups based on defect types and intact wood. A total
of 11 specimens have defects and another 10
specimens are intact wood. Twenty specimens will be
judged, with 5 specimens in each group. The
moisture content, density, wave velocity, and elastic
modulus of the specimens were used as data index in
the discriminant analysis method. The stepwise
discriminant method in the multivariate statistical
analysis software is used to discriminate the types
of defects.
After stepwise discriminant, wood moisture
content was removed from the input data, which
illustrated that the discriminant ability by using wood
moisture content was less significant. That is to say,
the impact of wood moisture content on the judgment
of timber defects is smaller compared with other
three data index. After discriminant analysis, the
78
3
2
-2
-3
-6
1
-4
-2
0
2
4
(a) Stress wave testing
Canonical Discriminant Functions
6
4
Group
2
Group Centroids
2
0
Ungrouped Cases
3
1
3
-2
-4
-4
2
1
-2
0
2
4
6
(b) Ultrasonic testing
Fig. 5. Discrimination results of size of holes by stress
wave and ultrasonic testing.
Table 3. The misjudgment rate for the types of defects
of specimens by stress wave and ultrasonic testing.
Groups
3.3.1. The Discriminant Analysis for Stress
Wave Testing
Group Centroids
1
2
3
4
Stress wave testing
Ultrasonic testing
1
2
3
4 1
2
3
4
0
0
0
0
0 20 %
0
40 % 0 20 % - 20 % 20 %
0
40 %
0
0 40 % 0
40 % 20 %
0
0 20 % 0
-
Based on the misjudgment rate for different
defect types using stress wave detection, it is noted
that it is easy to misjudge between intact specimens
with speciments with crack, or between speciments
with decay and with hole. For the former case, it is
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 74-80
possible that the stress wave propagation may not
pass the crack part, therefore it will be the same as
the intact wood. The latter case showed that the
sensitivity is high for both decayed and holed wood
when using stress wave testing. However, the stress
wave can judge whether there is any defect in the
wood specimens or not.
Canonical Discriminant Functions
4
3
2
1
After stepwise discriminant, the wood moisture
content data index was also removed. It means that
the impact of wood moisture content on the judgment
of timber defects is smaller compared with other
three data index. After the analysis, the number of
specimens correctly classified was 10, 10, 9 and 8 for
the four groups with different types of defects, and
the corresponding correct rate of back substitution
was 90.91 %, 90.91 %, 81.82 % and 80 %,
respectively. The correct rate of disriminant for the
specimens to be determined was 13/20×100 %=65 %.
The misjudgment rate for the types of defects
of specimens by using the ultrasonic testing is shown
in Table 3.
From the misjudgment rate for different type of
defects using ultrasonic detection, it is easy to
misjudge between specimens with decay and holes,
which illustrates that the sensitivity is high for the
decayed and holed wood tested by ultrasonic.
Similar to stress wave testing, ultrasonic can also
judge whether there is any defect in the wood
specimens or not.
3.3.3. Comparative Analysis Between Stress
Wave and Ultrasonic Testing
From the correct rate of back substitution and the
corresponding discrimination results figures (Fig. 6)
for stress wave and ultrasonic detection, it is noted
that the testing reliability is better when ultrasonic is
used to detect wood decay and holes. In addition,
from the misjudgment rate, there are misjudgments
between wood decay and holes for both waves;
however the misjudgment rate is smaller for
ultrasonic testing. It is not quite different for both
waves to detect wood cracks, which may be due to
the fact that wave propagation didn’t pass the
wood cracks.
4. Conclusions
The testing results of elm wood specimens by
using stress wave and ultrasonic detection were
analyzed by using discriminant analysis method in
SPSS statistical software, and the following
conclusions can be drawn from the study:
Group Centroids
2
Ungrouped Cases
0
3
-1
3.3.2. The Discriminant Analysis for
Ultrasonic Testing
Group
4
1
4
-2
3
-3
-4
-6
2
1
-4
-2
0
2
4
6
(a) Stress wave testing
Canonical Discriminant Functions
6
4
Group
4
2
2
3
0
Group Centroids
1
-2
Ungrouped Cases
-4
4
-6
3
-8
-10
-6
2
1
-4
-2
0
2
4
(b) Ultrasonic testing
Fig. 6. Discrimination results of type of defects by stress
wave and ultrasonic testing.
1) The correct judgment rates were 60 % and
65 % for stress wave and ultrasonic testing decayed
wood specimens, respectively. With the increase of
decay, the probability of detection using ultrasonic
increased more significantly compared to stress
waves, which indicated that ultrasonic is more
sensitive to severe decay than stress wave when
testing the holed specimens.
2) Ultrasonic showed very good sensitivity of
detection on larger holes. In the experiment, the
correct rates of judgment were 53.3 % and 60 %,
respectively, for stress wave and ultrasonic testing
wood specimens with holes. The testing reliability for
both waves was low for the specimens with 10 mm
holes, while the reliability was greatly improved for
ultrasonic testing when the diameter of holes
increased to 20 mm.
3) For the identification of defect types, both
stress wave and ultrasonic were able to distinguish
whether there are defects within the wood specimens
or not. However, it is not very significant for the
distinction between holes and decay, especially for
stress wave detection. The misjudgment was small
when either stress wave or ultrasonic was used to
detect the specimens with severe decay and holes,
and the discriminant accuracy rate can reach 80 % for
both waves, especially for ultrasonic. The grouping
79
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 74-80
situation was not very good for crack detection
discriminant, which illustrated that the surface crack
detection reliability was not very good both waves.
Due to the limited number of wood samples
tested, there may be some derivations in the
statistical analysis. Therefore, it is recommended that
multiple tree species and different wood defects can
be considered in the future study. In addition, there
may be errors during in the experiment, including the
measurement error and human error. Because the
impact force is not the same when using the mall
hammer to hit the sensors, so there is a great
influence on the accuracy for the stress wave
detection. For ultrasonic testing, the quality of gap
coupling between wood and ultrasonic probe will
have impact on the testing results. In order to reduce
the error, the instrument itself should be able to
transmit and receive signal during the stress wave
testing process, which will reduce the influence of
human factors. In addition, if coupler is not needed,
its impact will be reduced and there will be no
pollution on wood products, which will enlarge the
application of this technology in non-destructive
testing of wood products.
Acknowledgements
This study was financially supported by the
Fundamental Research Funds for the Central
Universities (DL13BB19), and the Excellent
Research
Projects
Scholars (415003).
for
Returned
References
[1]. W. Xue, SPSS Statistical Analysis Methods and
Applications, Beijing, Electronic Industry Press,
2009, pp. 327-349.
[2]. H. Wang, X. C. Yang, K. H. Xu, Current situation of
research on the non-destructive testing technique for
wood defects, Forestry Science and Technology,
Vol. 27, No. 3, 2002, pp. 35-38.
[3]. Robert J. R., James C. W., Anton T., Stress Wave
Nondestructive Evaluation of Wet wood, Forest
Products Journal, Issue 7, No. 8, 1994, pp. 79-83.
[4]. C. R. Raini, G. W. Francis, M. G. Thomas, et al.,
Stress-wave Analysis of Douglas-fir Logs for Veneer
Properties, Forest Products Journal, Issue 50, No. 4,
2000, pp. 49-52.
[5]. R. J. Ross, R. F. Pellerin, NDE of Wood-based
composites with longitudinal Stress Wave, Forest
Products Journal, Vol. 38, Issue 5, 1988, pp. 39-45.
[6]. J. I. Doulop, Testing of poles by acoustic resonance,
Wood Science and Technology, Vol. 17, Issue 1,
1983, pp. 31-38.
[7]. Olivito R. S., Ultrasonic measurements in wood,
Materials Evaluation, Vol. 54 No. 4, 1996,
pp. 514-517.
[8]. J. Wang, J. M. Biernacki, F. Lam, Nondestructive
evaluation of veneer quality using acoustic wave
measurements, Wood Science and Technology,
Vol. 34, Issue 6, 2001, pp. 505-516.
___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
80
Overseas
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Research on Electronic Transformer Data
Synchronization Based on Interpolation methods
and Their Error Analysis
* 1, 2
Pang Fubin, 1 Yuan Yubo, 1 Bo Qiangsheng and 1 Ji Jianfei
1
2
Jiangsu Electric Power Company Research Institute, Nanjing 211103, China
School of Electrical Engineering, Southeast University, Nanjing 210096, China
*
E-mail: [email protected]
Received: 1 August 2015 /Accepted: 31 August 2015 /Published: 30 September 2015
Abstract: In this paper the origin problem of data synchronization is analyzed first, and then three common
interpolation methods are introduced to solve the problem. Allowing for the most general situation, the paper
divides the interpolation error into harmonic and transient interpolation error components, and the error
expression of each method is derived and analyzed. Besides, the interpolation errors of linear, quadratic and
cubic methods are computed at different sampling rates, harmonic orders and transient components. Further, the
interpolation accuracy and calculation amount of each method are compared. The research results provide
theoretical guidance for selecting the interpolation method in the data synchronization application of electronic
transformer. Copyright © 2015 IFSA Publishing, S. L.
Keywords: Electronic transformer, Data synchronization, Interpolation method, Interpolation error.
1. Introduction
In relay protection and measurement control of
power system, the synchronization of sampling data
from electronic transformer is the key precondition
and guarantee for protection device to measure and
operate accurately. The output signal of traditional
transformer is analog, which is directly sampled by
the secondary electrical equipment and all channels
are mainly synchronous [1]. With the continuous
expanding promotion of digital substation
technology, the primary and secondary equipment
gradually develop toward small, intelligent and high
steady. The electronic transformer, which has small
volume, strong anti-saturation, excellent insulating
property and vast dynamic range, meets the
requirement of electrical engineering development
and has been widely used in intelligent substation.
http://www.sensorsportal.com/HTML/DIGEST/P_2727.htm
When using electronic transformer, the primary
electrical quantity is connected to the merging unit
via the data sampling device, and then sent to the
protecting and controlling devices in bay level.
Without unified synchronizing mechanism to each
sampling link of electronic transformer, the sampling
data of each channel is nonsynchronous, thus
resulting in the synchronization problem in the
substation [2].
The IEC60044 standard has specified two
methods for data synchronization: impulsive
synchronization and interpolation methods [3-5]. The
frontier method requires that each merging unit
includes an external synchronous port for frequency
doubling, which increases the cost and encounters the
difficulties of real-time signal receiving and sending,
thus the system is complicated and costs much. In
engineering application, the interpolation method,
81
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
which maintains synchronization by computing and
reduces the cost effectively, is gradually widely
adopted in power system to achieve data
synchronization. The interpolation method abandons
the requirement of synchronization of each sampling
channel, and computes the sampling value of all
channels at the same time with the prior knowledge
of the time delay from data sampling to arriving at
the merging unit. The mechanism of interpolation
method is relative simple, and the cost of the system
is very low by software computing to achieve
electronic
transformer
data
synchronization.
Currently, there have been many researches on linear,
quadratic and cubic interpolation methods and the
analysis on the interpolating error of each method
[6-14]. But these researches mainly focus on the
interpolation error accuracy under certain application
background, while the interpolation error varies
greatly from each other and the calculation amounts
are also different. In this paper, the most general
composition form of the signal is considered, and the
interpolation error expressions of linear, quadratic
and cubic interpolation methods are deduced.
Besides, the influencing factors of each method are
analyzed and simulated, and the interpolation
accuracies and amounts of all methods are compared.
2. Theoretical Analysis of Interpolation
Methods
Fig. 1. Diagram of interpolation for data synchronization.
2.2. The Common Interpolation Methods and
their Interpolation Errors
Currently, there are three interpolation methods:
linear, quadratic and cubic interpolation methods.
The next paragraph will introduce the interpolating
principle and error of each method taking the
example of sampled signal S1 (t ) .
a)
Linear interpolation method.
The linear interpolation method is the most
simple interpolation method which calculates the
interpolating value at time t0 with the prior
knowledge
2.1. Introduction of the Problem
( t12 , S1 (t12 ) )
Without a centralized and accurate time standard
to synchronize all the nodes in the substation, the
sampling time of all channels are usually random.
Therefore, the sampling data from all channels to the
merging unit are generally asynchronous. As it is
shown in Fig. 1, the S1 (t ) , S2 (t ) are sampled
signals from two independent channels. There is reset
signal in the merging unit and when the number of
sampling frames reaches to a certain number, the
number will be reset to zero and begin to count in a
new circle. Thus, combined with the internal crystal
oscillator, the merging unit marks the arrival time of
S1 (t ) , S2 (t ) . Assume that when the reset signal sets
the count number to zero, t11 , t12 , t13 , t21 , t22 , t23
are the arrival time of signal S1 (t ) , S2 (t ) from the
sampling link to the merging unit, respectively. The
interpolation method is to compute the sampling
value of both channels at the time of interpolation
time t0 , 2t0 , 3t0 according to the sampling value at
t0 , the
y1 (t0 ) , the
other times. At the sampling time
interpolation value of S1 (t ) is
interpolation error can be calculated as follows:
ε = y1 (t0 ) − S1 (t0 )
82
of
y1_l (t ) =
sampling
( t11 , S1 (t11 ) ) ,
[15]:
t − t12
t − t11
S1 (t11 ) +
S1 (t12 )
t11 − t12
t12 − t11
(2)
The principle of liner interpolation is to consider
the interpolation time t0 to be one point on the line
composed by
( t11 , S1 (t11 ) )
and
( t12 , S1 (t12 ) ) .
According to the Lagrange Interpolation Error
Formula, the interpolation error of linear
interpolation is as follows [16]:
Rl (t ) = S1 (t ) − y1_l (t ) =
1 ''
S1 (ξ )(t − t11 )(t − t12 ) ,
2
(3)
where ξ is the time in interval [t11 , t12 ] , S1'' (ξ ) is
the second derivative of signal S1 (t ) at the time of
ξ . Consider the most general situation and assume
that S (t ) is composed by direct current, steady and
transient components, whose form can be expressed
as:
∞
(1)
points
S1 (t ) = I 0 +  I n sin(nωt + ϕn ) +IT e
n =1
−
t
τ
,
(4)
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
where I 0 is the direct component, ω is the angular
frequency
of
fundamental
wave
and
ω = 2πf = 100π ; I n and ϕn are the amplitude and
2
proportional to N , RT_l (t ) is proportional to IT
and inversely proportional to N τ .
b) Quadratic interpolation method.
The principle of quadratic interpolation method
2 2
initial phase of the nth harmonic wave and n = 1
corresponds to those of the fundamental wave; IT is
the initial value of the transient wave and τ is the
time constant. It can be derived form Equation (4)
can be expressed as:
that the second derivative form of S1 (t ) is:
time interval, the interpolation
quadratic interpolation method is:
S1'' (t )
∞
= − n ω I n sin(nωt + ϕn ) +
2
2
n =1
IT e
−
( t13 , S1 (t13 ) )
t
τ
(5)
y1_ q (t ) =
τ2
t

−
IT e τ
1 ∞ 2 2
Rl (t ) =  − n ω I n sin(nωt + ϕn ) + 2
2  n =1
τ



 (t − t11 )(t − t12 )


 2 ∞ 2

 ω  n In

I
≤  n =1
+ T2  (t − t11 )(t − t12 )

2
2τ 




t=
t11 + t12
. Assume that there are N
2
sampling points in each fundamental wave period,
then t12 − t11 =
1
, and Equation (6) is converted
50 N
to:
n =1
2
N
+
5 ×10-5 IT
N 2τ 2
time interval of adjacent sampling points. The
quadratic interpolation method is to consider the
interpolation time t0 to be one point on the parabola
( t11 , S1 (t11 ) ) , ( t12 , S1 (t12 ) )
and it is also called parabolic
interpolation, whose interpolation error can be
expressed as:
Rq (t ) =
1 '''
S1 (ξ )(t − t11 )(t − t12 )(t − t13 )
3!
 3∞ 3

 ω  n In

IT 
n =1

≤
+ 3 (t − t11 )(t − t12 )(t − t13 )

6
6τ 




(t − t11 )(t − t12 )(t − t13 ) = μ ( μ − T )( μ − 2T ) = f ( μ )
(10)
= RH_l (t ) + RT_l (t )
The derivation of Equation (10) indicates that it
(7)
gets the maximum value when t = t11 +
∞
where RH_l (t ) =
4.935 n 2 I n
n =1
2
, RT_l (t ) =
5 × 10-5 IT
N
N 2τ 2
are the maximum interpolation errors of harmonic
and transient components of linear interpolation
method. It can be seen from Equation (7) that
∞
RH_l (t ) is proportional to
and
By introducing t = t11 + μ , the items in Equation
(9) can be obtained as follows:
∞
=
T = t13 − t12 = t12 − t11 = 1/ ( 50 N ) is the
where
(9)
 2 ∞ 2

 ω  n In

IT 
1
 n =1
Rl (t ) ≤
+
2
10000 N 2 
2τ 2 




4.935 n 2 I n
of
(8)
( t13 , S1 (t13 ) ) (17),
Obviously, Equation (6) gets the maximum value
expression
t − t11 t − t12
S1 (t13 ),
t13 − t11 t13 − t12
composed by
(6)
when
are the sampling points of the same
t − t12 t − t13
t − t11 t − t13
S1 (t11 ) +
S1 (t12 )
t11 − t12 t11 − t13
t12 − t11 t12 − t13
+
By introducing Equation (5) into Equation (3), the
interpolation error of linear interpolation method can
be obtained as follows:
( t11 , S1 (t11 ) ) , ( t12 , S1 (t12 ) ) ,
 n2 I n
and inversely
3± 3
T,
3
then the maximum value of Equation (9) is:
∞
Rq (t ) ≤
15.192 n3 I n
n =1
3
+
5.132 ×10-7 IT
N
= RH_q (t ) + RT_q (t ),
N 3τ 3
(11)
n =1
83
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
∞
where RH_q (t ) =
The unknown variables in the matrix above are as
follows:
15.192 n3 I n
n =1
3
is the maximum
N
interpolation error of harmonic components of
quadratic interpolation method, and it is proportional
∞
 n In
to
3
3
and inversely proportional to N ;
n =1
RT_q (t ) =
5.132 ×10-7 IT
is
N 3τ 3
the
maximum
interpolation error of transient components of
quadratic interpolation method, which is proportional
3 3
to IT and inversely proportional to N τ .
c) Cubic interpolation method.
The idea of cubic interpolation method is: when
the interpolation condition is satisfied, the
interpolation interval is divided into several sections.
Apart from the two boundary nodes, all other inside
nodes have continuous first and second order
derivative. From the viewpoint of geometric
meaning, the cubic interpolation method enables the
concave convex non-deformation of the curve, which
avoids the Runge Phenomenon effectively. The cubic
interpolation is the most simple spline interpolation.
Take the signal S1 (t ) for example, when there are n
sampling points S1 (t11 ) , S1 (t12 ) ,…, S1 (t1( n +1) ) in

 g = 6  S1 (t12 ) − S1 (t11 ) − S ' (t )  ,
1 11 
 1 T1 
T1



Ti
 μi =
Ti + Ti +1

Ti +1

λi = 1 − μi =
T
i + Ti +1


6
S1 t1i , t1(i +1)  − S1 t1(i −1) , t1i 
 gi +1 =
Ti + Ti +1


S1 (t1( n +1) ) − S1 (t1n ) 
6 '


 g n +1 = T  S1 (t1( n +1) ) −

T1
n 


(
)




 i = 1, 2, n − 1,




(14)
where S1 t1i , t1(i +1)  represents the first divided
difference of S1 ( t ) at the point of t1i and t1(i +1) .
The interpolation error of cubic interpolation method
is:
Rc (t ) = S1 (t ) − y1_ c (t )
∞
5
S1(4) (t )
384
≤
∞
T4
∞
=
20.294 n 4 I n
n =1
4
N
+
2.08 ×10−9 IT
N 4τ 4
= RH_c (t ) + RT_c (t ),
(15)
interval [t11 , t1( n +1) ] , and the sampling time for each
point is t11 < t12 <  < t1( n +1) , respectively. The
sampling intervals are T1 , T2 ,…, Tn , then the
interpolation expression of S1 (t ) in the ith interval is
(t (
1 i +1)
−t
6Ti
)
n =1
is the maximum
N4
∞
interpolation which is proportional to
3
Mi +
( t − t1i )
6Ti
 n4 I n
and
n =1
3
M i +1 +
inversely
M i 2  t1( i +1) − t 
M

 t − t1i
+  S1 (t1( i +1) ) − i +1 Ti 2 
 S1 (t1i ) − 6 Ti  T
6



 Ti
i
t ∈ t1i , t1(i +1)  , i = 1, 2, n
From the Equation above, it can be obtained that
the solution of cubic interpolation requires the value
of n + 1 unknown variables of M1 , M 2 ,…, M n +1 ,
which are determined by the matrix as follows:
2 1
  M1   g1 
μ 2
 M   g 
λ1
 1
 2   2 

   =   
 
 



μn −1 2 λn −1       


1
2   M n +1   g n +1 
RT_c (t ) =
proportional
2.08 ×10−9 IT
N 4τ 4
is
to
N4 ;
the
maximum
interpolation error of transient components of cubic
interpolation which is proportional to
(12)
84
where RH_c (t ) =
interpolation error of harmonic components of cubic
approximated as y1_ c (t ) :
y1_ c (t ) =
∞
20.294 n 4 I n
(13)
IT
and
4 4
inversely proportional to N τ .
3. Comparison of Interpolation Error
and Calculation Amounts of all
Interpolation Methods
Aforementioned the principles and errors of
different interpolation methods have been introduced
and calculated. In practical application, due to the
difference of the component of signal S1 (t ) and the
sampling rates, the interpolation errors vary greatly
when adopting different interpolation methods. To
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
explore the differences between interpolation errors
and calculation amount of all interpolation methods,
further analysis should be carried out to show which
method exhibit the highest interpolation accuracy and
cost least calculation amount.
Suppose that the interpolation error relationship
of harmonic components of three interpolation
methods are RH_l (t ) > RH_q (t ) > RH_c (t ) , which
indicates that the interpolation error of linear,
quadratic and cubic interpolation method declines in
orders:
∞
n =1
2
N
∞
>
15.192 n3 I n
n =1
3
N
∞
>
Assume that the interpolation error relationship of
transient components of three interpolation methods
is RT_l (t ) > RT_q (t ) > RT_c (t ) , the interpolation
error of linear, quadratic and cubic interpolation
method declines in orders:
3.1. Interpolation Error of Harmonic
Components
4.935 n 2 I n
3.2. Interpolation Error of Transient
Components
20.294 n4 I n
n =1
4
5 × 10-5 IT
N 2τ 2
>
(17)
where max {a, b} represents the larger number of
a , b . Especially, when there is only fundamental
2.08 × 10−9 IT
N 4τ 4
Nτ > 1.026 × 10-2
(16)
∞
∞


3
4
 3.078 n I n 1.336 n I n 


n =1
N > max  ∞ n =1
,
,
∞
2
3

n
I
n
I
 n 
n
 
n =1
n =1

N 3τ 3
>
(19)
Obviously, the interpolation error of each method
is related with Nτ . The larger Nτ is, the easier
Equation (19) is satisfied. Therefore, the rising of
sampling rate N or time constant τ will reduce the
interpolation error of high order interpolation
method. The solution of Equation (19) is calculated
as follows:
N
From Equation (16), it can be concluded as
follows:
1) For given harmonic order and amplitude, the
increasing of N will make the Equation (16)
easier to be satisfied, which indicates that the
rising of sampling rates will reduce the
interpolation error of higher order interpolation
method and promote the interpolating accuracy.
2) For given sampling rate, the in the increasing of
n and I n will make the Equation (16) more
difficult to be satisfied, which indicates that the
rising of harmonic order and amplitude will
enlarge the interpolation error of higher order
interpolation method.
The solution of Equation (16) can be calculated as
follows:
5.132 × 10-7 IT
(20)
Equation (20) indicates that when the condition
Nτ > 1.026 × 10-2 is satisfied, the interpolation
error of linear, quadratic and cubic interpolation error
declines in orders.
3.3. Comparison of Calculation Amount
Due to the principle variations of all interpolation
methods, the calculation amount of each method is
different from each other. From Equation (2), (8) and
(12) it can be concluded that for a interpolating point,
the linear interpolation costs five times add operation,
two times multiply operation; the quadratic
interpolation costs fourteen times add operation,
twelve times multiply operation; the cubic
interpolation costs twenty-one times add operation,
thirty times multiply operation, together with the
solution of a interpolation polynomial matrix.
Therefore, the calculation amount of cubic
interpolation is larger than that of the quadratic
interpolation, and the calculation amount of the latter
is also larger than that of linear interpolation.
4. Calculating Simulation
wave component in S1 ( t ) and n = 1 , Equation (17)
4.1. Calculating Model
is simplified as:
The conclusion aforementioned has made it clear
that the interpolation errors of all interpolation
methods are no related with direct component.
Assume that the expression of the signal is
N > 3.078
(18)
From Equation (17) it can be derived that when
there is only fundamental wave component in the
signal, the interpolation error of linear, quadratic and
cubic interpolation methods decline in orders.
∞
S1 (t ) =  I n sin(nωt + ϕn ) +IT e
−
t
τ
, and the initial
n =1
phase
of
each
harmonic
wave
is
85
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
ϕn = 0, n = 1, 2, , ∞ , and there are N sampling
points in the fundamental wave period. To fully
exhibit the interpolation error of each method, two
hundred interpolation points are calculated in one
fundamental wave period to avoid the insufficience
of calculating number. Utilizing MATLAB, the
influencing factors of interpolation errors of linear,
quadratic and cubic interpolation methods are
calculated and the calculation amounts are also
compared.
(a) Comparison of interpolation errors of three
methods
Ignore the transient component and assume that
IT = 0 , when there is only fundamental wave in the
signal, I1 = 1 , I n = 0(n ≠ 1) . The interpolation
errors of linear, quadratic and cubic interpolation
methods are calculated when N = 20 and N = 80 ,
and the results are shown in Fig. 2 and Fig. 3.
(b) interpolation error of cubic method
Fig. 2. Interpolation accuracy of each method when
N = 20 .
Fig. 3. Interpolation accuracy of each method when
N = 80 .
When there are 20 sampling points in one
fundamental wave period, the maximum interpolation
error of linear interpolation method reaches to 1.2 %,
while those of quadratic and cubic interpolation
methods are 0.2 % and 0.0027 %, which indicates
that the interpolation accuracy is higher for high
order interpolation method. When there are
80 sampling points in one fundamental wave period,
86
4.2. Influences of Sampling Rates
the maximum interpolation error of linear
interpolation method has declined to 0.078 %, while
those of quadratic and cubic interpolation methods
are 0.003 % and 0.00001 %. The proportion decrease
of three methods are 15.38, 66.67 and
270 respectively for two different sampling rates,
which coincides with the proportion decrease results
of 16, 64, and 256 shown in Equation (16).
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
To further analyze the influences of sampling
rates on interpolation accuracy, the interpolation error
of three methods are calculated when the sampling
rates grows from 500 Hz ~ 10000 Hz, and the results
are shown in Fig. 4. From the figure it can be seen
that the interpolation accuracy is improved with the
increasing of sampling rates; when the sampling rate
is given, the interpolation error of linear, quadratic
and cubic interpolation error declines in orders,
which coincides with the conclusion in Paragraph 3.1
that when there are more than 4 sampling points in
the fundamental wave period, the interpolation
accuracy of three methods gets promoted in orders.
With the increasing of sampling rates, the
interpolation error of each interpolation method
declines rapidly. Since there is only harmonic
component error in the error composition, the
interpolation errors of linear, quadratic and cubic
interpolation method are inversely proportional to the
square, cube and biquadratic of the sampling rates,
and the declining slope the of interpolation error
curve for three methods becomes steeper in orders.
three methods when the harmonic order changes from
1 to 10. When the order is small, the interpolation
errors of three methods are also small, and the error
of linear, quadratic and cubic interpolation method
declines in orders; with the increasing of harmonic
order, the interpolation errors of three methods grows
rapidly and the Equation (16) is no longer satisfied.
The interpolation errors of quadratic, cubic
interpolation method are higher than that of linear
interpolation method, and there is severe error in
interpolating results.
Fig. 5. Interpolation accuracy of each method for the third
harmonic wave when N = 20 .
Fig. 4. Interpolation accuracy of three methods at different
sampling rates when N = 20 .
4.3. Influences of Harmonic Orders
The conclusions in Paragraph 3.1 indicate that the
harmonic order has an effect on the interpolation
error. To explore the influences of harmonic order on
the interpolation accuracy, the interpolation errors of
linear, quadratic and cubic interpolation method are
calculated when the harmonic order is three ( I 3 = 1 ,
I n = 0(n ≠ 3) ), N = 20 , and the results are shown
in Fig. (5).
When there is only the third harmonic order
wave, the maximum interpolation error of linear
interpolation is 11 %, while those of quadratic and
cubic interpolation are 5.2 % and 0.8 %, respectively.
Compared with Fig. 2, when the harmonic order
grows higher, the interpolation error of each method
becomes larger and the interpolation accuracy has
declined. Fig. 6 illustrates the interpolation errors of
Fig. 6. Interpolation accuracy of each method
for the different harmonic order waves.
4.4. Influences of Transient Components
In order to explore the influences of transient
components on interpolation accuracy, the
interpolation accuracy is calculated when the
expression of the signal is S1 (t ) = sin100πt + e
−
t
0.0008
,
N = 20
N = 80 , respectively. The
and
interpolation error is divided into transient
component error and total error(including harmonic
component error), and the results are shown in Fig. 7
and Fig. 8.
87
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
Fig. 7. Interpolation accuracy of each method in two conditions when
N = 20 .
Fig. 8. Interpolation accuracy of each method in two conditions when
N = 20 .
When the time constant is 800 us and N = 20 ,
the multiply of the both Nτ satisfies the Equation
(20) and the maximum interpolation error of
quadratic interpolation method is 2.2 %, which is
slightly smaller than the interpolation error of linear
method. The cubic method has the least interpolation
error and the maximum error is only 0.3 %. When
considering the interpolation error of fundamental
wave component, the transient component of the first
twenty sampling points plays an important role in the
interpolation error, and the error presents geometrical
attenuation with the increasing of time and gradually
the error of fundamental wave component is the
major part. When N = 80 , the interpolation errors
of all methods become smaller than those of
N = 20 when considering transient component
error only. The maximum interpolation errors of
linear, quadratic and cubic method are 0.28 %,
0.04 % and 0.001 %, respectively. When considering
the total interpolation error, the first twenty sampling
88
points are still the major part of the transient
component error, and with the increasing of time the
fundamental component wave plays an important role
in the interpolation error. View the trend as a whole,
the interpolation errors are prominently smaller than
those when N = 20 .
4.5. Comparison of the Calculation Amount
Although the interpolation errors of linear,
quadratic and cubic interpolation method decline in
orders when the sampling rate is large, the calculation
is an important factor to evaluate whether the method
is appropriate for the consideration of hardware
realization. The operating time of MATLAB reflects
the calculation amount. The operating time of the
calculation in Paragraph 3.2 when N = 20 is
counted 100 times and the average time of
calculation is shown in Table 1.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 81-89
Table 1. Computational complexity comparison between
three methods.
Method
Interpolation points
Operating time(ms)
Linear
200
5.748
Quadratic
200
10.34
Cubic
200
78.647
From Table 1 it can be seen that the average
operating time for linear method is 5.478 ms, for
quadratic method is 10.34 ms, which is two times of
the linear method; for cubic method, the operating
time is 78.647 ms, which is fourteen times of the
linear method. Therefore, the promotion of
interpolating accuracy is gained by increasing the
calculation amount.
5. Conclusion
In this paper, the original problem of the
electronic transformer data synchronization is
introduced first and the common interpolation
methods are given. Based on the composition of the
signal, the error expressions of linear, quadratic and
cubic methods are deduced and the influences of
sampling rate, harmonic order and transient
component on the interpolation error are calculated
and compared. The conclusions are as follows:
1. By increasing the sampling rate, reducing the
harmonic order and amplitude, the harmonic
component errors of the three methods can reduced;
2. By reducing the initial amplitude of transient
wave and increasing the sampling rate and time
constant, the transient component errors of the three
methods can reduced;
3. When there are more than four sampling
points in the fundamental wave period, the
interpolation errors of harmonic component of linear,
quadratic and cubic method decline in orders; when
Nτ > 1.026 × 10-2 , the interpolation errors of transient
component of three methods decline in orders;
4. Although the increasing of sampling rate
promotes the interpolation accuracy, the calculation
amount of linear, quadratic and cubic method
increases in orders.
References
[1]. Yang, Z. X., Ji. J. F., Ao, Yuan, Y. B., Analysis of
ECT synchronization performance based on different
interpolation methods, Sensors & Materials, 162, 1,
2014, pp. 251-257.
[2]. Cao, T. J., YI, Yin X. G., Zhang Z., Discussion on
data synchronization of electronic instrument
transformers, in Proceedings of the CSU-EPSA, 19, 2,
2007, pp. 108-113.
[3]. Yuan Y. B., Gao L., Intelligent Substation Integration
Testing Technology and Application, China Power
Publishing, Beijing, 2013.
[4]. Dong Y. H., Sun T. J., Xu B. Y. Tongjing, Xu
Bingyin, Data synchronization based on cubic spline
interpolation for electronic instrument transformers,
Electric Power Automation Equipment, 32, 5, 2012,
pp. 102-107.
[5]. Xiang M. J., Gao H. L., An Y. Q., An adaptive
interpolation
algorithm
to
improve
data
synchronization precision, Automation of Electric
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[6]. Qiao H. X., Huang S. F., Liu Y., Discussion on data
synchronization of electronic current transducer
based on quadratic interpolation, Power System
Protection and Control, 37, 15, 2009, pp. 48-52.
[7]. Cao T. J., Dai C. Z., Two methods of data
synchronization in optical fiber differential: improved
interpolation and clock relay, in Proceedings of the
2nd International Conference on Electricity
Distribution, 2010, pp. 1-6.
[8]. Li, Q. Y., Wang, N. C., Yi D. Y., Numerical Analysis,
Tsinghua University Publishing, Beijing, 2008.
[9]. Hu H. L., Li Q., Lu S. F., Comparison of two
electronic transformer error measuring methods, High
Voltage Engineering, 37, 12, 2011, pp. 3022-3027.
[10]. Li W. Z, Li B. W., Ni C. K., Study on synchronization
method for optical differential protection in smart
substation, Power System Protection and Control, 40,
16, 2012, pp. 136-140.
[11]. Liu K., Zhou Y. Q., Wang H. T., Research and Design
on data sampling system of electronic transducer,
High Voltage Engineering, 33, 1, 2007, pp. 111-115.
[12]. Li C., Yuan Y. B., Luo Q., Research on interfacing
technology for digital protection based on ECT/EVT,
Power System Technology, 31, 9, 2007, pp. 84-87 .
[13]. Ma C., Li L. J., Li C. S., Study of data
synchronization of Sagnac fiber optic current
transformer, Power System Protection and Control,
40, 8, 2012, pp. 38-44 .
[14]. Li G. H., Digital substation networking technologies,
Electric Power Automation Equipment, 33, 2, 2013,
pp. 142-146.
[15]. Guo L., Pan J. M., Lu J. L., Application of
interpolation algorithms in smart substation, Electric
Power Automation Equipment, 30, 10, 2010,
pp. 103-106 .
[16]. Liu Y. Q, Gao H. L., Gao W. C., A novel data
processing approach to relay protection in digital
substation, Automation of Electric Power Systems,
35, 15, 2011, pp. 68-72.
[17]. Luo Y., Duan X. Y., Zhang Mingzhi, Research on
Time Synchronization for IEC 61850-9-2 Process
Bus, Power System Technology, 36, 11, 2012,
pp. 229-234.
___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
89
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 90-95
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Performance Characteristics of GaAs/Al0.32Ga0.68As
Quantum-Well Lasers
HADJAJ Fatima, BELGHACHI Abderrahmane,
and HELMAOUI Abderrachid
Laboratory physics and semiconductor devices, Bechar University
Po. Box No. 417, 08000 Bechar, Algeria
Tel.: +213-792-904250; fax: +213-49-220960
E-mail: [email protected]
Received: 1 September 2015 /Accepted: 28 September 2015 /Published: 30 September 2015
Abstract: Simulating electrical characteristics of quantum well laser diodes helps understanding their behavior
and provides an insight comprehension of the influence of technological parameters, such as number of wells,
cavity length and effect of temperature on their performance. In this paper we present a study of electrical
characteristics of GaAs/Al0.32Ga0.68As quantum well laser diodes emitting at 0.8 µm. Our results indicate that
better output performance and lower threshold current could be obtained for a single quantum well and losses are
reduced, and we observe also a gradual and nonlinear decrease in output optical power with the increase of
temperature. Copyright © 2015 IFSA Publishing, S. L.
Keywords: Multi-quantum well lasers, electrical characteristics, GaAs/AlGaAs.
1. Introduction
Quantum-well (QW) semiconductor lasers offer
the advantages of low threshold current density and
high-power capability with good efficiency, [1]. The
application of quantum well structures to
semiconductor laser diodes has received considerable
attention because of its physical interest and as well as
its superior laser characteristics. By controlling the
width of the quantum wells one can modify the
electron and hole wave function which leads to
modification of laser characteristics as well as
introduction of new concepts to optical devices [2].
The loss level plays an important role in determining
the relative advantages and disadvantages of the SQW
and MQW structures. Under low loss conditions the
SQW has the advantage, since it has a lower total
transparency current density J0 and the total internal
loss . At high loss, however, the MQW has the
advantage [3]. Because the phenomena of gain
90
saturation can be avoided by increasing the number of
QW's although the injected current to achieve this
maximum gain also increases by the increase in the
number of wells [4]. The saturated gain of the SQW
may not be large enough to attain the threshold gain
and one must therefore turn to MQW [3]. In this work,
we investigate the effect of wells number, cavity
length and temperature on the output power, threshold
current, and quantum efficiency. Maximum output
power and lower threshold current were obtained for
the case of a single quantum well (SQW) due to the
low losses. Effective change in the output power and
threshold current was observed with the variations in
temperature and cavity length.
2. Optical Power
The most common characteristics of a laser diode
is the power vs. current curve (P-I). It plots the drive
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 90-95
=
−
,
(1)
where ηi is the internal differential quantum
efficiency, αm is mirror losses, αi is the internal optical
loss, q is the elementary charge, hv is the photon
energy, and Ith is the threshold current of a
semiconductor laser [5]. To obtain a laser action in a
semiconductor, the medium should be prepared in a
form a p-n junction diode with highly degenerate ptype and n-type regions, in this way the inverse is
produced in the junction region. This can be achieved
by forward biasing the junction .When the junction is
forward biased with a voltage that is nearly equal to
the energy gap voltage, electrons and holes are
injected across the junction in sufficient number to
create a population inversion in a narrow zone called
the active region. The amount of population inversion,
and hence the gain is determined by the current
flowing in the laser diode. At low current values the
losses offset lasing action. In this case the radiation
exists due to spontaneous emission which increases
linearly with the drive current. Beyond a critical value
of the current (the threshold value), the lasing
commences and the output power increases rapidly
with increasing current. Moreover, we investigated the
effect of the number of quantum wells on the
performance of our structure.
We varied the number of quantum wells from one
to five and investigated the output power versus the
injection current for various numbers of wells as
shown in Fig. 1.
80
70
1QW
2QW
3QW
4QW
5QW
Power (mW)
60
50
40
30
20
10
0
0
20
40
60
80
100
120
Current (mA)
Fig. 1. Output power versus injection current for a 60 Å
GaAs/Al0.32Ga0.68As SQW and MQW laser 100 µm wide
by 300 µm long.
With the increase of well number, more injection
current is required to obtain the output power. This is
because threshold current increases with the increase
of the number of wells. In this study with the data we
used, we obtained that, as far as the value of the
number of wells decreased you can see the increased
output power with a less threshold current, for instance
a single well, the output power is 31.04 mW and the
threshold current is of 8.2 mA for an injection current
of 50 mA, while for five wells, the power is 9.84 mW
for the same injection current, in this case, the
threshold current is about 36.8 mA. As it can be seen
in Fig. 2, the threshold of the laser is strongly affected
by the laser’s temperature. Typically, laser threshold
will increase exponentially with temperature as Ith α
exp (T/To), where T is the laser temperature in degrees
Kelvin (typically 100 to 400 K). And T0 is the
“characteristic temperature” of the laser.
45
40
T = 100 K
T = 200 K
T = 300 K
T = 400 K
35
30
Power (mW)
current applied to the laser against the output light
intensity. This curve is used to determine the laser’s
operating point (drive current at the rated optical
power) and threshold current (current at which lasing
begins). The P-I characteristics on each facet of the
laser device are given by:
25
20
15
10
5
0
0
10
20
30
40
50
60
70
Current (mA)
Fig. 2. Output power versus injection current at different
temperatures for a 60 Å GaAs/Al0.32Ga0.68As SQW laser
100 µm wide by 300 µm long.
This increasing threshold current can be explained
by lower gain of the quantum wells at higher
temperature, and lower characteristic temperature T0
represents a high increase of threshold current with
increasing temperature. The threshold current is
predominated by the gain that is needed to compensate
the internal losses and the mirror losses, respectively.
Thus the temperature dependence of the gain is the
main reason for increasing threshold current with
increasing temperature [6]. In our structure, the output
power has been estimated to be 31.04 mW at room
temperature with an injection current of 50 mA.
The output power versus the injection current for
various cavity length is shown in Fig. 3. With
increasing cavity length the output power decreases, it
can be explained as follows; the laser with longer
cavity length has higher current density and higher
electron
density,
therefore
the
radiative
recombination, and consequently output power is
decreased. In the case of 300 µm length cavity, the
threshold current is about 8.2 mA, and a power of
31.04 mW for an injection current of 50 mA, while for
a length of 500 µm, the current threshold is of the order
of 13.2 mA, and a power of about 22.23 mW for the
same injection current.
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 90-95
of the quasi-Fermi levels into the conduction band or
valence band takes place at high current injection, the
gain saturates when the sub-band of electrons and
holes are completely reversed.
100
90
L
L
L
L
L
80
Power (mW)
70
60
=
=
=
=
=
100
200
300
400
500
µm
µm
µm
µm
µm
50
14
40
12
30
Threshold current (mA)
20
10
0
0
20
40
60
80
100
120
Current (mA)
Fig. 3. Output power versus injection current at different
cavity length for a 60 Å GaAs/Al0.32Ga0.68As SQW laser
100 µm wide by 300 µm long.
10
=
= 240
8
6
4
2
100
150
200
3. Threshold Current
400
33
(2)
2
−1 ,
where NQW and Γ are the number of QWs and the
optical confinement factor of a single QW,
respectively, where R = 0.32 is the reflectivity of
naturally cleaved mirrors of the laser cavity, L is the
cavity length [8], J0 is the transparent current density
and G0 is the gain coefficient to describe the quantum
⁄
[9]. The threshold
well gain G as = current is calculated by the usual formula:
32
31
30
29
28
27
26
25
0,00
0,01
0,02
0,03
0,04
0,05
0,06
0,07
Cavity length (cm)
(3)
Fig. 5. Threshold current density versus the cavity length
for SQW laser, the transparent current density and modal
gain are estimated to be 48 A/cm2 and 204.7 cm-1,
respectively.
140
2
Threshold current density (A/cm )
The threshold current density Jth that corresponds
to the modal gain value that satisfies the oscillation
condition can be obtained from the modal gain-current
density plots. Then the threshold current calculations
can be performed using desired structure cavity width
W, length L, and mirror reflectors [10].
Fig. 4 shows dependence of threshold current Ith on
temperature for a cavity length of 300 μm. It was
observed from our analysis that Ith increases with the
increase of temperature. This is due to the increase of
cavity losses with the increase of temperature; hence
more current is needed to achieve population inversion
to overcome cavity losses.
However, The threshold current density decreases
with the increase in cavity length as shown in Fig. 5
which is plotted for T = 300 K.
We can see from Fig. 6 a significant increase of the
threshold current density to the shorter lengths of the
cavity, which is due to the high gain saturation at high
injection current density for quantum well laser. This
gain saturation is due to the step-like shape of the
density of state functions and the fact that penetration
92
350
34
Threshold current density (A/cm )
+
=
300
Fig. 4. Threshold current versus the temperature for SQW
laser. The characteristic temperature is 240 K in the range
of 100 K to 400 K.
The threshold current density of a MQWs laser
with identical QWs is then obtained from the threshold
condition, where the gain equals the cavity losses. [7],
it is given by the expression:
=
250
Temperature (K)
120
1QW
2QW
3QW
4QW
5QW
100
80
60
40
20
0,00
0,01
0,02
0,03
0,04
0,05
0,06
0,07
Cavity length (cm)
Fig. 6. Threshold current density versus the cavity length
for SQW and MQW laser.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 90-95
5,0
Inverse external differential quantum efficiency
If the gain thus obtained is insufficient to compensate
the losses, oscillation threshold is not reached. The
maximum modal gain available with NQW is thus N
times larger than modal gain with 1QW since each
well can now provide its saturation gain, which is
equal to that of a SQW laser. We can consequently
avoid the saturation effect by increasing the number of
QW’s although the injected current to achieve this
maximum gain also increases by N times. Owing to
this gain saturation effect there exists an optimum
number of QW’s for minimizing the threshold current
for a given total loss, on the other hand, the increase in
the threshold current is substantially shifted to shorter
length cavity by increasing the number of wells ( see
figure (6)), such that for a structure with a single well
and a length of 300 µm, the threshold current density
is about 27.47 A/cm2 while for a structure with five
wells, it is about 122.62 A/cm2 for the same length.
Theoretically, the lower threshold current is obtained
with the minimum number of wells, Therefore we can
conclude that the multi-quantum well laser can be
operated with lower threshold current density when
designed with long cavities.
ηi = 0.50
ηi = 0.74
ηi = 0.87
4,5
4,0
3,5
3,0
2,5
1/ηi = 2
1/ηi = 1.4
2,0
1,5
1/ηi = 1.1
1,0
0,00
0,01
0,02
0,03
The inverse external quantum efficiency (1/ηext)
as a function of the cavity length is plotted in Fig. 7.
The external differential quantum efficiency decreases
linearly with increasing cavity length; we can see also
that the shorter cavities could provide higher external
differential efficiency. The main source of
deterioration of differential efficiency in short cavity
lasers is an increase of internal loss αi caused free
carrier absorption which rises proportionally to the
carrier concentration. The mirror loss coefficient rises
with shorter cavity lengths, requiring higher gain and
consequently more carriers in the quantum well. The
inverse external quantum efficiency is given by:
0,05
0,06
0,07
Fig. 7. Inverse external differential quantum efficiency
versus cavity length at different values of internal
efficiency for SQW laser.
5. Current and Total Loss Factor
Total optical loss, αtot, in a semiconductor laser
includes two principal terms:
=
4. External Quantum Efficiency and
Internal Quantum Efficiency
0,04
Cavity length (cm)
+
(5)
The external (mirrors) optical loss is
αm = (1/L)ln(1/R) [12]. The internal loss αi includes the
diffraction loss, the scattering and the free carrier
absorption losses in the active region and mirrors[13].
If losses in a laser are high, it is necessary to have a
high gain and therefore multiple quantum well lasers
are preferable.
From Fig. 8 we see that, for low loss, the injected
threshold current is minimum in the case of 1QW. On
the other hand, if the αtot = 140 cm-1, the threshold
current with 1QW is larger than that of 2QW. We can
see also that a five-well structure (5QW) will have the
lowest threshold current if we increase the total loss
higher than 140 cm-1.
250
1⁄
= 1⁄
1+
⁄
1⁄
(4)
Lw = 60 Å
Threshold current (mA)
200
The internal quantum efficiency (ηi) and internal
optical loss (αi) are extracted to be 74 % and 10 cm-1
respectively. The value of αi is lower than the typical
values of 10-20 cm-1 reported for double heterostructure lasers [11].
However, in the case of QW laser, the maximum
total loss (internal plus mirror) is limited due to the
existence of a maximum (saturated) optical modal
gain. The internal quantum efficiency is then
determined by plotting the curve of inverse external
differential quantum efficiency versus cavity length, it
is of the order of 0.74 (1/ηi = 1.4) in our structure. The
low internal loss and the high internal quantum
efficiency provide high external differential quantum
efficiency.
αtot
αtot
150
-1
= 29 cm
-1
= 140 cm
100
50
0
1
2
3
4
5
Number of quantum wells
Fig. 8. Threshold current versus number of quantum wells
for various values of the total loss of the cavity. In this case,
the quantum well thickness Lw is assumed to be 60 Å.
93
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 90-95
At higher values of αtot, which call for large laser
modal gain gmod, a larger number of wells are needed.
Furthermore, we can notice also that the multiquantum well with narrow thickness present low
threshold currents for all numbers of wells from
1 to 5, the optimal number of wells for better
performance threshold will be increased with higher
losses. Another important parameter that can affect the
performance of multiple quantum well is its thickness.
Fig. 9 shows the threshold current as a function of the
number of QW for various values of the total loss of
the cavity for QW thickness of 100 Å. In this case, the
number of QW with each QW thickness is optimized
so that the threshold current is minimal. We can see
that the threshold current of 60 Å thick well is much
lower than that of 100 Å and this current is minimized
with thinner QW’s when total loss is low.
400
350
Lw = 100 Å
Threshold current (mA)
300
αtot=
αtot=
250
-1
29 cm
-1
140 cm
200
150
100
50
0
1
2
3
4
5
Number of quantum wells
Fig. 9. Threshold current versus number of quantum wells
for various values of the total loss of the cavity. In this
case, the quantum well thickness Lw is assumed
to be 100 Å.
We can conclude from these figures that the
optimum number of quantum wells (leading to lower
threshold current) is 3 when the total loss is around
140 cm-1. If one wants to get a very low threshold
current, a diode short (60 Å) and low loss (≈ 29 cm-1)
is preferable in this case, the optimal number is
obviously 1.This is mainly due to the fact that the
current for transparency (gain equals to zero) is
minimized at the thickness of Lw = 60 Å in the case of
NQW = 1 and also due to the fact that the optimum
number in QW lasers with each thickness is 1 in the
case of low loss for our structure.
6. Conclusion
We have numerically investigated the characteristics of GaAs/Al0.32Ga0.68As QW laser and the
effect of quantum well number, cavity length and
temperature on its performance. The threshold current
and current-power characteristics as a function of
numbers of wells, cavity length and temperature were
obtained for QW structure. It is shown that the
94
threshold current increases with decreasing cavity
length and increasing temperature and its variation
with the number wells depends on loss. Whether the
SQW or the MQW is the better structure depends on
the loss level. At low loss, the SQW laser is always
better because of its lower transparency current
density and lower internal loss. At high loss, the MQW
is always better because the phenomena of gain
saturation can be avoided by increasing the number of
QW although the injected current to achieve this
maximum gain also increases. Owing to this gain
saturation effect, there exists an optimum number of
QW for minimizing the threshold current for a given
total losses. The temperature increase in the quantum
well is an important parameter which limits the
maximum output power of the laser. This temperature
increase is effective for high-power operation; we
conclude that the cavity length, temperature and its
quantum well number play important roles in
determining the laser performance. Smaller values of
threshold current density, Jth indicate superior
performance. Jth can be minimized by maximizing the
internal quantum efficiency, minimizing the loss
coefficient and minimizing the quantum well
thickness. The device performance was significantly
improved due to the reduced total loss of ≈29 cm-1
without degradation of electrical properties, resulting
in a high output power of 31.04 mW and a low
threshold current of 8.2 mA and with an internal
efficiency of 74 % for one well at room temperature
for the 300 µm cavity and quantum well thickness of
60 Å.
References
[1]. P. S. Zory, Quantum Well Lasers, Academic Press,
Inc, 1993.
[2]. S. R. Selmic, T. M. Chou, J. Sih, J. B. Kirk, A. Mantle,
J. K. Butler, D. Bour, G. A. Evans, Design and
characterization of 1.3-μm AlGaInAs-InP multiplequantum-well lasers, IEEE Journal of selected topics
in Quantum Electronics, Vol. 7, No. 2, 2001,
pp. 340-349.
[3]. M. Balkanski and R. F. Wallis, Semiconductor Physics
and Applications, Oxford University Press, Oxford,
2000, pp. 1- 69.
[4]. Y. Arkawa and A. Yariv, Quantum well lasers-gain,
spectra, dynamics, IEEE J. Quantum Electron., 22,
1986, 1887.
[5]. S. L. Chuang, Book, Physics of Photonic Devices, 2nd
ed., Wiley, New York, 2009.
[6]. I. Vurgaftman, J. R. Meyer and L. R. Ram-Mohan,
Band Parameters for III-V Compound Semiconductors
and Their Alloys, J. Appl. Phys., Vol. 89, No. 11,
2001, pp. 5815-5875.
[7]. J. Z. Wilcox, G. L. Peterson, S. Ou, J. J. Yang, M.
Jansen and D. Schechter, Gain and threshold current
dependence for multiple-quantum well lasers, J. Appl.
Phys., 64, 1988, 6564.
[8]. M. Razeghi, Technology of Quantum Devices,
Springer, 2009.
[9]. A. K. Dutta, N. K. Dutta and M. Fujiwara, WDM
Technologies: Active Optical Components, Academic
Press, 2002.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 90-95
[10]. M. F. Khodr, Effects of Non Parabolic Bands on
Nanostructure Laser Devices, Proceedings of SPIE,
7039, 2008, 70390T.
[11]. F. Lelarge, B. Dagens, J. Renaudier, R. Brenot, A.
Accard, F. van Dijk, D. Make, O. LeGouezigou, J. -G.
Provost, F. Poingt, J. Landreau, O. Drisse, E. Derouin,
B. Rousseau, F. Pommereau, and G. -H. Duan, Recent
Advances on InAs/InP Quantum Dash Based,
Semiconductor Lasers and Optical Amplifiers
Operating at 1.55 μm, IEEE J. Sel. Topics Quantum
Electron., Vol. 13, 2007, pp. 111–124.
[12]. N. A. Pikhtin, S. O. Slipchenko, Z. N. Sokolova, and
I. S. Tarasov, Internal Optical Loss in Semiconductor
lasers, Semiconductors, Vol. 38, No. 3, 2004,
pp. 360-367.
[13]. K. H. Ha and Y. H. Lee, Determination of Cavity Loss
in Proton Implanted Vertical-Cavity Surface Emitting
Lasers, Jpn. J. Appl. Phys., 37, 1998, p. 372.
___________________
2015 Copyright ©, International Frequency Sensor Association (IFSA) Publishing, S. L. All rights reserved.
(http://www.sensorsportal.com)
95
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 96-103
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
Multi-Model Adaptive Fuzzy Controller
for a CSTR Process
*
Shubham Gogoria, Tanvir Parhar, Jaganatha Pandian B.
Electronics and Instrumentation, VIT University, 632014, India
*
Tel.: +91-8681910995
*
E-mail: [email protected]
Received: 19 August 2015 /Accepted: 20 September 2015 /Published: 30 September 2015
Abstract: Continuous Stirred Tank Reactors are intensively used to control exothermic reactions in chemical
industries. It is a very complex multi-variable system with non-linear characteristics. This paper deals with
linearization of the mathematical model of a CSTR Process. Multi model adaptive fuzzy controller has been
designed to control the reactor concentration and temperature of CSTR process. This method combines the output
of multiple Fuzzy controllers, which are operated at various operating points. The proposed solution is a
straightforward implementation of Fuzzy controller with gain scheduler to control the linearly inseparable
parameters of a highly non-linear process. Copyright © 2015 IFSA Publishing, S. L.
Keywords: CSTR, Linearization, State-space, Fuzzy, Weight distributor, Adaptive.
1. Introduction
CSTR processes have been rigorously used in
chemical industries for a long time. ProportionalIntegral-Derivative (PID) controllers have been used
in process control most extensively. But these mainstream algorithms are incapable of controlling
complex non-linear complex systems with accuracy.
Earlier control systems were constricted by lack of
computational power. But, with the increase of
computing technology, it has become feasible to
implement computationally expensive algorithms, like
Fuzzy logic controllers. Attempts have been made to
implement a PID controller over CSTR process, using
cascaded control algorithms [1-3] Multi-loop PID
controllers and Neuro-PID controllers have also been
devised for an optimal concentration and temperature
control [4-6]. But problems with most of the
approaches is one of the two process variables (either
process temperature or concentration) have been taken
96
as a constant. Where in practical conditions, it is not
the case. Both the variables depend on each other,
through a differential relation [7]. Hence, this paper
focuses on controlling both the output variables, using
a novel Multi-model Fuzzy controller approach. The
conventional mathematical model of the CSTR
process is used [8]. The non-linear equations are
linearized at various operating points and cast into
state space models [9-10] Using the state-space model
at different operational points, transfer function
matrices have been formed [11]. A Fuzzy controller
maps inputs to outputs, using a set of rules that might
be linear or non-linear relation. The transfer function
matrix is used to tune Fuzzy Logic controller
parameters. A weighing algorithm has been designed,
to select the appropriate controller and state-space
model, corresponding to the input signal. Since the
Fuzzy controller has an oscillatory manipulative
variable, so an integrator has been implemented to
eliminate fluctuations.
http://www.sensorsportal.com/HTML/DIGEST/P_RP_0207.htm
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 96-103
2. System Modelling
The modelling of the CSTR process has been done,
keeping the following assumptions in mind:
1. Volume of the reactor remains constant, during
the process.
2. The chemicals are mixed perfectly inside
the vessel.
3. The reaction follows the following dynamics
A
B + Heat (Q).
Linearizing (1) and (2), transfer function matrices
are obtained for the CSTR model. The idea behind
computing the matrices is to develop a state space
model for the system.
2.1. Mass Balance Equation
In as CSTR process, two state variables are
controlled, namely reactor temperature (T) and reactor
concentration (C). The following differential
equations symbolize the process in time domain.
( )
=
Fig. 1. The Continuously Stirred Tank Reactor.
( )
( )−
( )
( ) exp
−
−
( )
(1)
Where matrix A and B are Jacobian matrices of
state and input variables respectively and C is
output matrix.
and
( )
=
( )
( )− ( ) −
exp −
+
( )
(
)
( )
( )
=
=
(2)
) ∗( ( ) − ( ))
(1−exp
where:
F = Feed flow rate;
V = Volume of reactor;
Caf = Feed concentration;
Ca = Reactor concentration;
K0 = Reaction rate constant;
E = Activation energy;
R = Ideal gas constant;
T = Reactor temperature in K;
H = Heat of reaction;
hA = Heat transfer coefficient;
Tf = Feed temperature;
Tc = Coolant temperature;
; = Liquid densities;
Cp; Cpc = Specific heats.
=
( )=[ ∶
′
(8)
=
= −
(9)
+
+
∗ exp(
+
(10)
)
here
=
exp
−
(11)
The Jacobean matrix B is given by
State input variables are given by
( )=[
(7)
=
∶ ]
(3)
]
(4)
=
=
,
where
2.2. Linearization
=
The nonlinear equations are formed into state
space variables as follows:
=
+
y=Cu
(5)
(6)
,
= 0,
=
(12)
(13)
,
(14)
97
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 96-103
=
−ℎ
[
− exp
2.3. Transfer Function Matrix
ℎ
(15)
−ℎ
− exp
−ℎ
]
At operation point 1
0.092s + 0.4123
0.0448
s + 23.891s + 23.337 s + 23.891s + 23.337
−0.947s − 35.452
−0.9413s − 12.576
s + 23.891s + 23.337 s + 23.891s + 23.337
The output matrix C is given by
1 0
C=

0 1
At operating point 2
Table 1 shows steady state parameters for
the process.
Table 1. Steady State Operating Data.
S. No.
1
2
3
4
5
6
7
8
9
10
11
12
13
Parameters
T
F
V
hA
E/R
ΔH
,
,
14
Values
0.0882 mol/l
441.2 K
100 l/min
100 l/min
1mol/l
350 K
350 K
100 l
7×10 cal/min K
10000 K
2×10 cal/min K
1000 g/l
1cal/(gK)
72×10
Table 2 shows the all the operating points around
which system has been linearized. The system is
inherently stable at all five operating points, as their
Eigen values are negative [12]. Table 3 shows
Eigen values.
1
2
3
4
5
Feed
Flow
(LPM)
102
100
100
97
98
Coolant
Flow
(LPM)
97
100
103
103
109
0.0091 + 0.1371
+ 21.681 + 20.69
−0.912 − 21.154
+ 21.681 + 20.69
0.0424
+ 21.681 + 20.69
−0.9053 − 10.252
+ 21.681 + 20.69
At operating point 3
0.009 + 0.135
+ 20.503 + 19.879
−0.8877 − 25.4
+ 20.503 + 19.879
0.0413
+ 20.503 + 19.879
−0.8823 − 8.9347
+ 20.503 + 19.879
At operating point 4
0.0089
19.344
−0.868
19.344
+ 0.1298
+ 18.3697
− 22.717
+ 18.3697
0.0392
19.344 + 18.3697
−0.8628 − 7.969
19.344 + 18.3697
At operating point 5
0.080087 + 0.1266
+ 17.903 + 17.225
−0.83 − 18.153
+ 17.903 + 17.225
0.0.377
+ 17.903 + 17.225
−0.825 − 6.3863
+ 17.903 + 17.225
3. Controller Design
3.1. Fuzzy Logic
Table 2. Operating Points.
S. No.
In this section five transfer function matrices are
obtained at five different operating points. They are –
Conc.
(mol/l)
Temp
(K)
0.0762
0.0882
0.0989
0.1055
0.1275
444.7
441.2
438.77
436.8
433
A fuzzy logic controller is widely used in machine
control approaches that require computing based on
"degrees of truth" rather than the usual "true or false"
Boolean logic. The mapping between the input
variables and the outputs is done through a set of predefined functions called membership function, which
are also known as "Fuzzy Set" [13]. The architecture
for a fuzzy controller is as shown in Fig. 2.
Table 3. Eigen Values.
Operating Point
1
2
3
4
5
98
Eigen Value
-22.8703, -1.0204
-20.6802, -1.0005
-19.4563, -1.0006
-18.2740, -0.9705
-16.8432, -0.9808
Fig. 2. Fuzzy Controller.
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 96-103
3.2. Fuzzy Logic Controller
The fuzzy controller is designed to control the
temperature and concentration of the chemical
product. It uses four input variables which are error
and differential error of concentration and
temperature of the reactor. The manipulated variables
are feed flow rate and coolant flow rate. Separate
controllers are used to control the manipulative
variables.
If a single fuzzy controller is used for all operating
for all five
points, it will have ten outputs (F,
points). So the total input membership functions will
be 7 and the total output membership functions will
be7 . Hence it becomes very difficult to make all the
rules for fuzzy controller manually. So, instead of one
fuzzy controller, five pairs of fuzzy controllers are
used, for each operating point. Each controller has a
similar set of rules (Table 4 and 5 shows the rules).
So, it becomes less tiresome to create the rules
manually [14].
assigns different weights to the outputs of the fuzzy
controllers [15], corresponding to the present input, in
accordance with the following algorithm.
Fig. 3. Input Membership function.
Table 4. Fuzzy Rules for Feed Flow rate.
E
HN
MN
LN
Z
LP
MP
HP
HN
MN
LN
Z
LP
MP
HP
HP
HP
HP
HP
HP
HP
HP
HP
HP
HP
MP
MP
LP
LP
MP
MP
LP
LP
Z
Z
Z
LP
LP
LP
Z
LN
LN
LN
Z
Z
Z
LN
LN
MN
MN
LN
LN
MN
MN
HN
HN
HN
HN
HN
HN
HN
HN
HN
HN
Table 5. Fuzzy Rules for Coolant Flow rate.
E
HN
MN
LN
Z
LP
MP
HP
HP
MP
LP
Z
LN
MN
HN
HP
HP
HP
HP
HP
HP
HP
HP
HP
HP
MP
MP
LP
LP
MP
MP
LP
LP
Z
Z
Z
LP
LP
LP
Z
LN
LN
LN
Z
Z
Z
LN
LN
MN
MN
LN
LN
MN
MN
HN
HN
HN
HN
HN
HN
HN
HN
HN
HN
The fuzzy logic controller uses triangular
membership functions. Fig. 3 and Fig. 4 depict the
membership function of input and output variable
respectively.
The system has been linearized at five operating
points. Since for each operating point a pair of fuzzy
controllers needed, hence a total of ten controllers or
five pairs have been designed for the process.
The transfer function matrices were used to tune
each pair of fuzzy controllers simultaneously.
3.3. Weighing Algorithm
Since, each pair of fuzzy controller has been tuned
around a particular operating point, so a scheduler
Fig. 4. Output Membership function.
If there are n operating points and y is the input
at that instant,
1. Initialize a variable i to 0.
2. Iterate steps 3 and 4 till i is less than n.
and ( + 1)
3. Check if y lies between
operating point.
• if yes, then update the weight of fuzzy
output as
[ [ ]− ]
[ ]=1−
[ [ ] + [ + 1]]
And the output of ( + 1) Fuzzy
As [ + 1] = 1 − [ ]
And increase i to i+1.
• else, update the weight of
Fuzzy to 0
4. Update = + 1.
The system has a predefined set-point of
temperature and concentration. The output of the
controller is F and which goes into actuator. The
actuator output serves as the input for the process. The
error and differential error, with respect to the set point
are given to the controller.
The weight scheduler assigns weight to the
corresponding controllers as per the set-point at that
instant. So, the process is adapts the best controller
needed to track the set-point. The SIMULINK model
for the whole process is shown in Fig. 5.
99
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 96-103
Fig. 5. CSTR Model.
4. Results
5. Conclusions
4.1. Simulation
In this paper the authors have proposed an
Adaptive Fuzzy controller for set-point tracking of a
CSTR process. The objective was to control
both the reactor concentration and temperature with
minimal error.
CSTR processes have wide industrial applications.
These processes need an accurate temperature and
concentration to yield desirable products. The
Adaptive-Fuzzy controller has an almost negligible
steady state error for various operational points.
Hence, it makes Adaptive-Fuzzy controller an apt
controller for industrial processes.
By linearizing the system around different
operating points, a better approximation of the system
can be made and a weighed combination of Fuzzy
controllers can be used to take a control action around
the given set-point.
MATLAB provides with an comprehensive
environment for algorithm development and
simulation. SIMULINK is an add-on that is used to
model the process in a block diagram format.
The system has been linearized and simulated in
MATLAB 2013. In order to test the set-point tracking
capability of the control algorithm, various set-points
have been tested at continuous intervals of time. The
initial conditions of the system were:
= 0.762
= 444.7
= 102 /
= 97 /
/
From the responses it can be said that the controller
designed for the CSTR process is able to maintain the
desired set-points for dynamic change in concentration
and temperature. The variation in controller output is
presented in Fig. 6 and Fig. 7.
Fig. 8 and Fig. 9 represents the set point tracking
of reactor concentration and temperature.
Fig. 6. Feed Flow.
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Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 96-103
Fig. 7. Coolant Flow.
Fig. 8. Reactor Concentration.
Fig. 9. Reactor Temperature.
References
[1]. Aslam Farhad, Gagandeep Kaur, Comparative
analysis of conventional, P, PI, PID and fuzzy logic
controllers for the efficient control of concentration in
CSTR, International Journal of Computer
Applications, 17, 6, 2011, pp. 12-16.
[2]. D. Krishna, K. Suryanarayana, G. Aparna, R. Padma
Sree, Tuning of PID Controllers for Unstable
Continuous Stirred Tank Reactors, International
Journal of Applied Science and Engineering, 10, 1,
2012, pp. 1-18.
[3]. Kumar Sandeep, Analysis of Temperature Control of
CSTR Using S Function, International Journal of
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Software Engineering, Vol. 2, Issue 5, 2012.
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continuous stirred tank reactor, International Journal
of Machine Learning and Computing, Vol. 1, No. 2,
2011, pp. 218-223.
Upadhyay Rahul, Rajesh Singla, Analysis of CSTR
temperature control with adaptive and PID controller
(a comparative study), International Journal of
Engineering and Technology, Vol. 2, No. 5, 2010,
pp. 453-458.
Vinodha R., S. Abraham Lincoln, J. Prakash, Multiple
model and neural based adaptive multi-loop PID
controller for a CSTR process, World Academy of
Science, Engineering and Technology, Vol. 68, 2010,
pp. 505-510.
Shyamalagowri M., R. Rajeswari, Modeling and
Simulation of Non Linear Process Control Reactor –
Continuous Stirred Tank Reactor, International
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New Jersey, 1984.
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___________________
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(http://www.sensorsportal.com)
102
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 104-105
Sensors & Transducers
© 2015 by IFSA Publishing, S. L.
http://www.sensorsportal.com
SENSOR
TECHNOLOGY LTD
Ten Top Torque Tips
(White Paper)
1
Bob Dobson, 2 * Tony Ingham
1
BDL Ltd, High Bank, River, Petworth, West Sussex, GU28 9AX, UK
Tel.: 01798 861677
2
Sensor Technology Ltd., Balscott Mill, Balscote, Banbury, Oxon, OX15 6EY, UK
*
Tel.: 01295 730746
E-mail: [email protected]
Abstract: Driveshafts deliver power as a rotary force, and in most applications there is a need to know the
amount of power in the system. But getting measurements from a turning shaft requires some engineering
ingenuity, so here Tony Ingham from Sensor Technology in Banbury runs through the basics.
Keywords: Torque sensors; Turning force; Strain gauges; Wheatstone bridge; Slip rings; Rotary transformer;
Surface acoustic waves; Piezoelectric strain gauges; Torque transducer
1. Torque is a turning force and, because every
material from which a driveshaft can be made has a
degree of elasticity, it is also a twisting force that
deforms the shaft in the direction of rotation. This
deformation is usually only very slight, but it is
104
massively important when it comes to measuring
torque.
2. Probably the most common way to measure
torque in a turning shaft is to glue strain gauges onto
it. A strain gauge is effectively a zig-zag of wire
encapsulated in a flexible substrate for protection.
When the shaft twists under torque the zig-zag will
be stretched, which will change its electrical
impedance. Therefore, the resistance of the wire is
proportional to the torque in the shaft.
However, there is a problem in that electrical
leads connected to the strain gauges would wrap
around the shaft as it turned and eventually snap.
Fortunately, there are solutions to this, which we will
look at later.
3. In fact, it is normal practice to use not one, but
four strain gauges spaced along the shaft. All are at
45 deg to the direction of rotation, two to the left and
two to the right. These are then connected into a
Wheatstone bridge configuration, which produces an
electrical output that is linearly proportional to the
torque in the shaft as it rotates.
http://www.sensorsportal.com/HTML/DIGEST/P_W_5.htm
Sensors & Transducers, Vol. 192, Issue 9, September 2015, pp. 104-105
The circuitry is completed with a power supply,
amplifier and a display, recorder or computer. These
are usually mounted somewhere close to the
driveshaft in a secure, static location.
4. We now come onto the elephant in the room.
How do we connect the stationary parts of the circuit
to the spinning Wheatstone bridge? One answer is
slip rings – collars mounted onto and standing proud
of the shaft, which contacts static brushes.
Unfortunately, the slip rings are rather delicate; so
much care must be exercised in their use. Also, they
need to be set up with some precision so that a
constant and even contact is maintained in operation.
Because of brush wear, slip rings need regular
attention and they are not really suitable for longterm use, nor for deployment in harsh working
environments. It is also notable that the contact
between the stationary brushes and rotating collars
will create a degree of electrical noise which,
particularly at higher speeds, will interfere with
signal transmission. A final shortcoming of slip rings
is that they create a drag force, which must be
accounted for in signal measurements and frequently
checked to make sure that it has not changed in value.
5. An alternative to the slip ring is the rotary
transformer, sometimes called an inductive loop. This
consists of two adjacent electrical coils – one static
the other rotating with the driveshaft – the relative
motion of which induces a current in the transducer.
There is no physical contact between the coils,
nor between shaft and transducer, yet power and
signals are passed between them. This overcomes
many of the drawbacks of slip ring systems; set up is
easier, operation is more robust, there is no friction
and higher speed operations can be accommodated.
However, every rotary transformer will have a
maximum operating speed due to its inertia. They are
also susceptible to noise and errors, especially if the
coils become misaligned.
6. The next development on a torque sensor is the
type that is based on radio telemetry. These operate
on the internationally license-free 2.4 GHz frequency
band and are based on the concept of mounting a
receiver pickup so that it can communicate with the
strain gauges. The pickup can actually be many
meters from the driveshaft, so long as communication
is maintained.
Installation and maintenance are straightforward
because there is no slip ring to adjust, coils to align or
cabling to accommodate. However, a battery is
required to power the signals, which although small
and long lasting, does require consideration.
7. Perhaps the ultimate type of torque sensor is
that based on the detection of Rayleigh waves or
surface acoustic waves (SAWs). These are noncontact and use piezoelectric strain gauges. In a SAW
sensor, the surface waves are produced by passing an
alternating voltage across the terminals of two
interleaved comb-shaped arrays, laid onto one end of
a piezoelectric substrate. A receiving array at the
other end of the transducer converts the wave into an
electric signal.
The wave frequency is dependent upon the
spacing of the teeth in the array and the direction of
wave propagation is at right angles to the teeth.
Therefore, any change in its length, caused by the
dynamic forces of the shaft's rotation, alters the
spacing of the teeth and hence the operating
frequency. To measure the torque in a rotating shaft,
two SAW sensors are bonded to a shaft at 45° to the
axis of rotation. When the shaft is subjected to
torque, a signal is produced, which is transmitted to
the adjacent stationary pick-up via the RF couple.
Interestingly, SAWs were first detected by 19th
century gentleman–scientist and Nobel Laureate Lord
Rayleigh when he was investigating the cause and
effects of earthquakes.
8. Selection of the type of torque transducer will
be based on many considerations including: the
working environment, the expected length of
operation, the rotational speed of the driveshaft,
mechanical connection options and costs. There is no
overall ‘best’, but an optimum choice for each
individual situation.
9. Positioning a torque sensor can be a
complicated decision if a true reading is to be
obtained. Inaccuracies can creep in due to the effects
of adjoining elements in the drive train, the damping
effect of the driveshaft’s own end couplings and drag
caused by contact-type sensors.
10. The final piece of advice is that expert help is
usually available through the company supplying
your torque sensor. Availing yourself of this service
will probably save time, money and frustration.
References
[1]. Tony Ingham, Measuring torque is fundamental to
many machines, test rigs and other engineering
installation.
[2]. TorqSense represents the ultimate in wireless torque
monitoring and is available in a range of sizes.
[3]. Heavy-duty materials handling environments can be
too harsh for slip ring-based measuring equipment,
making wireless the preferred option.
[4]. http://www.sensors.co.uk/media-centre/ten-toptorque-tips/
Sensor Technology Ltd.
Apollo Park, Ironstone Lane, Wroxton, Banbury OX15 6AY
Tel: +44(0)1869 238400, fax: +44(0)1869 238401, http://www.sensors.co.uk/
105
Aims and Scope
Sensors & Transducers is established, international, peer-reviewed, open access journal (print and electronic). It
provides the best platform for the researchers and scientist worldwide to exchange their latest findings and
results in science and technology of physical, chemical sensors and biosensors. The journal publishes original
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significantly contributes in areas, which are not adequately addressed in other journals, namely: frequency
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systems; digital, smart, intelligent sensors and systems designs; signal processing and ADC in sensor systems;
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