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Transcript
International Journal Of Electrical, Electronics And Data Communication, ISSN: 2320-2084
Volume-4, Issue-9, Sep.-2016
RECOGNIZATION AND REDUCTION OF SOURCE CURRENT
HARMONICS IN A LOADED SYSTEM USING WAVELET
DECOMPOSITION
1
N.HARIHARAVARSHAN, 2R.MELVINA MINNY
Electrical and Electronics Department Panimalar Engineering College Chennai, India
E-mail: [email protected], [email protected]
Abstract- All the electrical equipment connected to the grid must abide by certain indisputable and indubitable regulations
regarding grid current harmonics, which will maintain the quality of grid power .The motor drive systems are always
equipped with rectifiers, inverters and many other devices for their speed regulation process, this collaboration of inverter
and rectifier stay as a conventional setup in today’s world. These inverter that are composed of power switches and reactive
components like inductor and capacitor. These reactive components are bulky and increases the system cost, particularly in
low cost applications such as electrical home appliances, these equipment are also a cause of producing harmonics into the
system this will finally provide a prodigal solution. The home appliances such as air conditioners ,refrigerators, washing
machines, electric fans, water pumps etc., use variable speed motor drives (induction motor) in which power electronic
technologies have been enabled, these appliances produces harmonics and reactive power. This harmonic current level tends
to increase, as the power of the appliances increases, a directly proportional relationship. The continuous increase of such
harmonics will seem to be an open ended threat to the system. To mitigate these disturbances active filters with controllers
have been employed to reduce the harmonic level in the system. In this paper, an active filter system along with a PI
controller which is capable of filtering the harmonic current produced by the loads is proposed with a new prospective of
analyzing the distorted wave in detail. Thought mitigation is a process which would seem very mandatory to improve power
quality there is a further improvement in this parochial view that is the wave requires contemplation to have a better idea of
the amount of energy lost and at which point the loss is more comparatively. So this paper discuss about the wavelet analysis
of the deviated wave and make the energy usage in a frugal, wise that is more efficient way than wasting in harmonic
distortion.
Keywords- Harmonics,Active Filter,PI Controller, Induction Motor, THD,Wavelet Analysis.
practical. This keeps the currents out of the supply
system. This is the most common type of filtering
applied because of economics and because it also
tends to correct the load power factor as well as
remove the harmonic current.
I. INTRODUCTION
Harmonics have existed from the earliest days of the
industry and were (and still are) caused by the nonlinear magnetizing impedances of transformers,
reactors, fluorescent lamp ballasts, induction motors
etc. In addition, power electronic devices have
become abundant today because of their capabilities
for precise process control and energy savings
benefits. Harmonic currents caused by nonlinear
loads connected to the distribution system are flowing
through the system impedances, and in turn distorts
the supply voltage. Such loads are increasingly more
abundant in all industrial, commercial, and residential
installations and their percentage of the total load is
growing steadily. Harmonic currents increase the
r.m.s. current in electrical systems and deteriorate the
supply voltage quality. They stress the electrical
network and potentially damage equipment. They
may disrupt normal operation of devices and increase
the operating costs.
Another approach is to apply a series filter that blocks
the harmonic currents. This is a parallel-tuned circuit
that offers a high impedance to the harmonic current.
It is not often used because it is difficult to insulate
and the load voltage is very much distorted. The
filters are classified as active and passive.
B. Passive Filters
The passive filters are used in order to protect the
system by reducing the harmonic current to enter the
power system. The most common type of shunt active
filters used in harmonic reduction is the single tuned
filter (STF) shown in Fig 1 which is either a low pass
or band pass filter. This type of filter is the simplest
form to design and less expensive.
II. FILTERS
A. Filters
A filter is an electronic device that can remove
specific ranges of frequencies from a signal. A filter
could be in shunt or series.
The shunt filter works by short-circuiting harmonic
currents as close to the source of distortion as
Fig 1.Single tuned filter circuit configuration
Recognization and Reduction of Source Current Harmonics in a Loaded System Using Wavelet Decomposition
1
International Journal Of Electrical, Electronics And Data Communication, ISSN: 2320-2084
The double tuned filter(DTF) shown in Fig.2 can be
used
to
filter
two
harmonic
source
simultaneously.DTF has a few advantages such as
only one reactor is subjected to full-line voltage and
smaller space needed.
Volume-4, Issue-9, Sep.-2016
filter will operate in several modes (balanced or
unbalanced), then the injection of mitigation current
is complete in order to nullify or compensate the
harmonic currents. Injection of this mitigation current
gives enhanced power quality. The performance of
the shunt active power filter is dependent to a great
extent upon the method used for the estimate of
reference current.
A. Shunt Active Power Filter
In the present electrical distribution system, there has
been a rapid increase of distorted loads such as power
supplies, domestic appliances, rectifier gear and
adjustable speed drives (ASD), etc. As the number of
these loads rises, harmonic currents generated by
these loads may become very significant. These
harmonics could lead to a variety of different power
system issues including the distorted voltage
waveforms, gear overheating, malfunction in system
protection, incorrect power flow metering, excessive
neutral currents, light flicker etc. They have also
decreased efficiency by drawing reactive current
component of the distribution network.
Fig.2.Double tuned filter circuit configuration
C. Active Filters
It is made up of OP-Amps, resistors and capacitors
shown in Fig.3. Active filters are easy to adjust over a
wide frequency range without altering the desired
response. High input impedance prevents excessive
loading of the driving source, and low input
impedance prevents the filter from being affected by
the load.
In order to overcome these issues active power filters
(APFs) has been developed. The voltage source
inverter (VSI) based shunt active filter has been used
in present and is known as a viable solution.
The active filters are used in the condition where the
harmonic orders change in terms of magnitude and
phase angles. In such conditions it is feasible to the
use active elements instead of passive ones in order to
provide dynamic compensation. There are three types
of configurations; they are: series active filter, shunt
active filter and hybrid filter.
The control scheme, in which the necessary
mitigating currents are determined by sensing line
currents only, is easy to implement. The system uses
a conventional proportional plus integral (PI)
controller for the generation of the reference current.
B. Control Schemes
The switching pulses of an active filter circuit are
generated using two common techniques such as
direct current control (current reference) and indirect
current control (voltage reference). The direct current
control technique is preferred to the shunt active
power filter over indirect current control due to fast
response and robustness. The direct current control
technique is adapted to generate the switching gate
pulses along with any one of the controls like
hysteresis control and ramp comparison control etc.
Fig.3.Active Filter Circuit configuration
III. PROPOSED SYSTEM
A. Hysteresis Comparison Method
In this method, inverter output current is forced to
follow the current reference in each phase. Deviation
between these two quantities is limited by upper and
lower band in a hysteresis loop. If actual current
reach the upper limit of the hysteresis band, the
inverter leg is switched off so that current decrease
reach till the lower band of hysteresis loop where the
inverter leg is switched on again and the actual
current increase to upper band. The sine wave shape
of the reference signal causes inverter switching
frequency vary and gives different current ripple in
one fundamental inverter period.
Three phase shunt active filter is used as a prototype
as shown in figure. The shunt active power filter
(SAPF) is used to produce mitigation current in
opposite phase. Power circuit for SAPF is planned as
a MOSFET based three-phase voltage source inverter
with DC storage capacitor for better mitigation of
non-sinusoidal unbalanced/balanced loads. The active
power filter has a control scheme i.e PI controller for
DC voltage regulation. The capacitors are planning to
limit the DC voltage ripple to a particular value,
typically 1 to 2%. In this case the capacitor should be
planned for the worst case. Since the shunt active
Recognization and Reduction of Source Current Harmonics in a Loaded System Using Wavelet Decomposition
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International Journal Of Electrical, Electronics And Data Communication, ISSN: 2320-2084
Volume-4, Issue-9, Sep.-2016
C. Block Diagram of the Proposed System
Fig.4.Current shape for hysteresis control
The hysteresis control tend to give higher distortion
due to increase of load current. Hence in order to
reduce the distortions in current, ramp comparison
method is employed. A ramp comparison method is
better in form of lower effect in line current distortion
compared with hysteresis control method. The ramp
comparison is preferred compared to that of
hysteresis method as the main source of distortion is
considered from.
Fig 6. Block diagram of proposed system
The above Fig 6 is the block diagram of linear and
non linear load in which the total harmonic distortion
value is to be reduced using an input active filter and
PI controller at the source end. It includes 2 level 4
pulse PWM current generator to generate the pulses
from the PI controller.
B. Ramp Comparison Method
In this mode of controller, sine wave reference signal
produced is added with a triangular signal to create
other sinusoidal triangular reference. This reference is
then compared with actual current. The point where
sinusoidal triangular wave and actual current cross,
becomes time when inverter leg is switched. This
method causes inverter switching frequency and
PWM pulses wide vary and give different current
ripples in one inverter period. Ramp comparison
method tend to give lower distortion due to increase
of load current. This method is better in form of
lower effect on line current distortion. The Fig.5,
shows the typical ramp comparison method used in
the paper.
IV. PROPOSED CONTROL ALGORITHM
The proposed control algorithm here is the
implementation of ramp comparison method in the PI
controller for the generation of gate pulses shown
below.
Fig.7.PI controller block diagram
Using ramp comparison method the error current
signal ΔiF is generated on comparing with reference
current (iF*) and actual filter current (iF). The
generated error current signal is manipulated using
proportional plus integral controller (PI) and fed to
current limiter. Hence, to reduce the error current
signal by increasing the controller gain. The block
diagram of ramp comparison PWM control is shown
in Fig. 4.10.The sine wave reference signal produced
is added with a triangular signal to create other
sinusoidal triangular reference. This reference is then
compared with actual current. The point where
sinusoidal triangular wave and actual current cross,
becomes time when inverter leg is switched. This
Fig.5.Current shape for ramp comparison method.
Recognization and Reduction of Source Current Harmonics in a Loaded System Using Wavelet Decomposition
3
International Journal Of Electrical, Electronics And Data Communication, ISSN: 2320-2084
Volume-4, Issue-9, Sep.-2016
method causes inverter switching frequency and
PWM pulses wide vary and give different current
ripples in one inverter period.
The differential equations related to shunt active filter
and PI controller are
v s  Vm sin t
is  I m sin t
∗
=
∗
−
di
L F  R i F  v s  mV C
dt
dV
C C  m iF
dt
Fig 8. Simulink diagram for induction motor without active
filter and PI Controller
From the above equations
di 
1 
 vs  R iF  L F 
vcs 
dt 
1 dv
m * C c
dt
iF
m
i F  k p ( v c  V C )  k i  ( v c  V C )dt
Fig 9. Original distorted current waveform
Where,
is – source current
is* – reference source current
iL– load current
VC – measured dc link capacitor voltage
m - constant
In this proposed system, space vector control pulse
width modulation (SVPWM) technique is adopted for
inverter fed squirrel cage induction motor (SCIM)
drive system to achieve the better performance and
reduction of harmonic effects.
Fig 10. Decomposition of original distorted current waveform
Wavelet analysis is preferred over FFT analysis (Fast
Fourier Analysis) because wavelet analysis can
support varying loads and systems, another reason for
applying wavelet transform on the obtained
waveform is that it has a control on the uncertainty
principle each wavelet that is obtained from the
mother wavelet has something about the frequency
spectrum of the signal ,last but the most undisputable
reason is that it exactly gives the point in the time
spectrum where the change is found and the amount
of change in that point which is not available feature
in FFT . These are the reasons for choosing wavelet
analysis over FFT analysis, and wavelet analysis has
been applied to the existing current waveform to
decompose the original current waveform into child
waveform from the mother wavelet.
V. SIMULATIONS AND ANALYSIS
A.Simulink diagram of induction motor without active
filter and PI Controller
The Fig.8, is the simulation diagram of the induction
motor and a non linear load without active filter and
PI-controller. The AC source is rectified into DC
source from which ripples are removed using a
capacitor bank. Using an inverter circuit the DC
source
is
again
converted
into
AC which is then fed to the induction motor. The
inverter and the rectifier circuit is composed of
semiconductor devices like MOSFET, diode etc. As it
is well known that the semi conductor devices are
capable of injecting harmonics into the system, the
same happens here and hence these harmonic currents
ingress the transmission line through the source. Thus
polluting the entire power system. Fig.9, shows the
distorted waveform of the current Fig.10, Shows the
decomposed form of the original current waveform.
These current waveforms have a very high ripple
content due to the presence of harmonics.
The decomposition from the mother wavelet to child
wavelet is shown in fig.11, the exact location of the
harmonics in the current waveform is thus clearly
examined which will be easier to frame the solutions
according to the intensity level.
Recognization and Reduction of Source Current Harmonics in a Loaded System Using Wavelet Decomposition
4
International Journal Of Electrical, Electronics And Data Communication, ISSN: 2320-2084
Volume-4, Issue-9, Sep.-2016
The above Fig.13, and Fig.14, is the input voltage
waveforms of the system. The magnitude of the input
voltage source is 230V. The above waveform is
sinusoidal in shape which is given as the input to the
system. The nonlinear load that we are considering to
build the matlab simulation is an induction motor.
The specification considered while constructing the
matlab simulation model, is given in the table 1
TABLE 1
Fig 11. Decomposition into mother and child wavelet of
distorted current waveform
The Fast Fourier Transform Analysis for Induction
motor and non linear load without active filter and PI
Controller. The total harmonic distortion value is
found to be 69.07% shown in the Fig 12 which is
found to be a high value. This high value leads to a
high pollution into the system because of the
harmonic content which can be seen from the FFT
analysis spectrum.
Fig. 12. Fast Fourier Transform for induction motor without
active filter and PI Controller.
B. Simulink Diagram of induction motor with active
filter and PI Controller
Fig 13.Original voltage waveform
Fig. 15.Simulink Diagram of Shunt Active Filter used in the
harmonic control
Shunt active filters are used to eliminate the
unwanted harmonics and compensate power factor by
injecting equal but opposite harmonic compensation
currents. An active power filter acts as a current
controlled voltage source inverter connected in
parallel with non linear load as shown in Fig 15, is
controlled to generate the required compensation
currents.
Fig 14. Decomposition of original voltage waveform
Recognization and Reduction of Source Current Harmonics in a Loaded System Using Wavelet Decomposition
5
International Journal Of Electrical, Electronics And Data Communication, ISSN: 2320-2084
Volume-4, Issue-9, Sep.-2016
Fig.19. Decomposition into mother and child wavelets of
original current waveform
Fig 16. Simulink diagram of induction motor with active filter
and PI
controller
To reduce the harmonic content in the system, an
active filter and a PI controller is implemented at the
source end of the system. The speed (rpm) of the
induction motor is compared with a reference speed
whose error signal is sent to the PI controller. The
output of the PI is then given to the PWM pulse
generator whose pulses are given as a trigger signal to
the MOSFET devices used in the rectifier circuit. By
this the performance of the active filter is improved
thereby reducing the harmonic content from the
system using the Simulink diagram shown in Fig 16.
Fig 20. Fast Fourier Transform analysis for induction motor
with active filter and PI Controller
Wavelet analysis is done for the system and the child
wavelet is being derived from the mother wavelet as
shown in fig 19.
The Fast Fourier Transform Analysis for Induction
Motor and non linear load with active filter and PI
controller. The total harmonic distortion value is
found to be 35.97% as shown in Fig 18. Thus the
total harmonic content is found to be reduced to about
60.85%.
TABLE 2
Fig 17. Original current waveform
CONCLUSION
The solid state AC-AC converter system with diode
fed R load and induction motor loads are modelled
and simulated successfully. The results of simulation
with and without active filter in supply side are
presented. The simulation results indicate that the
harmonics are reduced by about 92.58% by
introducing active filter and PI controller in the
supply side for only linear load and reduced by about
Fig 18. Decomposition of original current waveform
Fig 17 and Fig 18 shows the waveforms of the current
after the active filter and PI controller has been added
in the system. From observing the waveform we can
see that the current waveform is found to have
reduced in the ripple content compared to the
previous case.
Recognization and Reduction of Source Current Harmonics in a Loaded System Using Wavelet Decomposition
6
International Journal Of Electrical, Electronics And Data Communication, ISSN: 2320-2084
60.85% by introducing active filter and PI controller
for both linear and non linear load. The advantages of
this system are that the line drop and line losses are
reduced by introducing active filter.
The scope of the present work is to reduce the current
harmonic THD by using Active filter and PI
controller. This proposed control scheme will be very
effective in harmonic mitigation.
The reduction of current harmonics using two
inductor power factor correction circuits will be done
in future.
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Volume-4, Issue-9, Sep.-2016
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