TY - JOUR
T1 - Harmonic analysis and experimental validation of bistable vibration energy harvesters interfaced with rectifying electrical circuits
AU - Zhang, Chunlin
AU - Harne, R. L.
AU - Li, Bing
AU - Wang, K. W.
N1 - Funding Information:
Useful discussions with Dr. Hongbin Fang (at Fudan University, Shanghai, China) are gratefully acknowledged. This work is supported in part by the Fundamental Research Funds for the Central Universities Grant 31020191A009, China Postdoctoral Science Foundation grant 2018M631196, the University of Michigan Collegiate Professorship, The Ohio State University Center for Automotive Research, and the U.S. National Science Foundation grants 1661572 and 1661568.
Funding Information:
Useful discussions with Dr. Hongbin Fang (at Fudan University, Shanghai, China) are gratefully acknowledged. This work is supported in part by the Fundamental Research Funds for the Central Universities Grant 31020191A009 , China Postdoctoral Science Foundation grant 2018M631196 , the University of Michigan Collegiate Professorship, The Ohio State University Center for Automotive Research, and the U.S. National Science Foundation grants 1661572 and 1661568 .
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2020/3
Y1 - 2020/3
N2 - The high-performing, nonlinear vibration energy harvesters are conventionally investigated when integrated with simplified resistive electrical circuits (AC circuits), while in fact DC voltages are needed for electronics and rechargeable batteries in practical applications. To lead to an accurate and effective set of design guidelines for realistic energy harvesting system development, an analytical, harmonic balance based method is proposed to characterize the steady state performance and investigate the DC circuit effects. During the route of the analysis method, the induced nonlinear, piecewise piezovoltage is firstly approximated via smooth dynamic responses based on the energy equivalence, which enables the followed harmonic balance operation to analytically estimate the vibration amplitude. The parameter studies show the pros and cons of the coupling constant and resistive load. In one side, with increasing the coupling constant or load resistance during their moderate range, higher electric power is extracted. In the other side, higher piezoelectric coupling and resistive load compromise the beneficial bandwidth of snap-through vibrations. Moreover, comparisons are conducted to reveal the different structural roles of the standard electrical circuit and AC circuit. It is found that AC circuit exhibits equivalent damping effect while the standard rectifying electrical circuit exhibits both equivalent damping and stiffness effects to the harvester system. These different circuit effects explain the theoretically predicted and numerically validated phenomena that the standard rectifying electrical circuit extracts less electric power than AC circuit under moderate piezoelectric coupling constants and resistive loads, while outperforms AC circuit when the coupling constants or load resistances are relatively large.
AB - The high-performing, nonlinear vibration energy harvesters are conventionally investigated when integrated with simplified resistive electrical circuits (AC circuits), while in fact DC voltages are needed for electronics and rechargeable batteries in practical applications. To lead to an accurate and effective set of design guidelines for realistic energy harvesting system development, an analytical, harmonic balance based method is proposed to characterize the steady state performance and investigate the DC circuit effects. During the route of the analysis method, the induced nonlinear, piecewise piezovoltage is firstly approximated via smooth dynamic responses based on the energy equivalence, which enables the followed harmonic balance operation to analytically estimate the vibration amplitude. The parameter studies show the pros and cons of the coupling constant and resistive load. In one side, with increasing the coupling constant or load resistance during their moderate range, higher electric power is extracted. In the other side, higher piezoelectric coupling and resistive load compromise the beneficial bandwidth of snap-through vibrations. Moreover, comparisons are conducted to reveal the different structural roles of the standard electrical circuit and AC circuit. It is found that AC circuit exhibits equivalent damping effect while the standard rectifying electrical circuit exhibits both equivalent damping and stiffness effects to the harvester system. These different circuit effects explain the theoretically predicted and numerically validated phenomena that the standard rectifying electrical circuit extracts less electric power than AC circuit under moderate piezoelectric coupling constants and resistive loads, while outperforms AC circuit when the coupling constants or load resistances are relatively large.
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U2 - 10.1016/j.cnsns.2019.105069
DO - 10.1016/j.cnsns.2019.105069
M3 - Article
AN - SCOPUS:85074163786
VL - 82
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
SN - 1007-5704
M1 - 105069
ER -