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The Implications of Second Order Effects of Practical Components on Storing
Energy Harvested by Pyro-electric and Piezo-electric Effects
A.E.
1
Beasley ,
C.T.
1
Clarke ,
D.A.
2
Zabek
and C.R.
2
Bowen
1Department
of Electronic and Electrical Engineering, University of Bath, BA2 7AY, UK
2 Department of Mechanical Engineering University of Bath, BA2 7AY, UK
1. Introduction
Pyro-electric and Piezo-electric energy harvesting has seen a large rise in recent years given the push for greener energy sources. Laboratory testing has
shown the potential for this technology to provide power for low power operations.
Storing this energy gives rise to a set of potential issues from the second order characteristics of components. Categorising these effects will enable proper
selection of the components that should be used for the energy storage required in these systems.
2. Tests
The properties of standard components are categorised using an
automated test rig that places a charge on the components being tested
and then measures the residual charge at a fixed frequency over time.
The residual charge information is passed to MATLAB where the
information is processed to produce graphs displaying the characteristics
of the components and material selection charts.
After trends from components are established using the original DC
charging system, two seemingly identical rectifier and storage circuits are
placed across a pyro-electric and the charge on the capacitor is measured
over a period of time.
3. Results
Unloaded capacitors
There is no correlation between results for capacitors from different manufacturers.
For a constant charge voltage, increasing the rated voltage of the capacitor will increase the capacitors discharge time (graph 1). However this can still vary
wildly for capacitors from the same manufacturer that appear to have the same nominal specification (graph 2).
Graph 3
Graph 2
Graph 1
Capacitors with diode rectifiers
For sufficiently small capacitances the leakage current from the diodes is large enough to dominate in the circuit. As seen in graph 3, the GP02 diode
rectifier gives the longest discharge time due to its very high reverse voltage capability, 4kV, and low forward current rating. The ‘standard’ 1N4148 small
signal diodes do not fair well in this test and allow discharge to occur in less than 100s.
Charging characteristic of a 100nF AVX X7R Capacitor from a pyro electric
material being heated from a lamp oscillating at 0.1Hz
60
50
Voltage on Capacitor (V)
40
30
GP02
1N4148
20
Using the pyro-electric material as a charging source
Comparing the diode rectifiers made with GP02 and 1N4148 diodes respectively as a system to charge a
100nF X7R AVX capacitor from a pyro-electric source it can be seen that the nature of the diodes used
in the rectifier circuit can make a huge difference to the efficiency in the energy harvesting system
(graph 4).
The rectifier made with the GP02 diodes stored 125µJ of energy on the capacitor after 400s whereas
the 1N4148 rectifier only stored 61µJ, approximately half the energy stored when using the GP02
rectifier.
10
Ratio of energy stored on capacitor for the two diode rectifiers
1.2
0
0
50000
100000
150000
200000
250000
300000
350000
Second Order Effects Dominate
400000
First Order Effects Dominate
Time (ms)
1.1
Graph 5 shows a frequency sweep for the heating rate of the pyro-electric material and the
subsequently stored energy on the capacitor. There is a clear shift from the first order effects to the
second order effects of the rectifier dominating . When this ratio is above 1 (about 0.2 Hz) the first
order effects dominate, below this frequency the second order effects dominate. This curve will tend to
infinity as the 1N4148 losses mean it is not possible to store any energy because the charging
frequency is so low (0.007 Hz). As the frequency of charging gets even lower (about 0.002 Hz) and it
becomes no longer possible to store energy using the GP02 rectifier this ratio becomes zero.
GP02/1N4148
Graph 4
1
0.9
0.8
0.7
0.01
Graph 5
0.1
1
10
Frequency [Hz]
4. Conclusion
• The quality of the bridge rectifier circuit has an impact on the equilibrium point, where by the charge placed on the capacitor during the on heating
phase of the cycle are balanced by the system losses during the cooling stages.
• The lower the frequency of heating the more the second order effects dominate; this is where it is even more important that the diodes are chosen
carefully.
• Diodes with larger reverse breakdown voltages, and lower forward current capability are more suitable for this task despite their higher first order losses.
• The capacitor on which the energy stored should have as large a voltage rating as possible.