Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods

The conversion of mechanical vibration to electrical energy has shown great promise for extending battery life of smart sensor wireless devices for various engineering applications. This paper presents novel analytical models of a piezoelectric bimorph, using the closed-form boundary value (CFBV) me...

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Main Authors: Lumentut, Mikail, Howard, Ian
Format: Journal Article
Published: The Institute of Electrical and Electronics Engineers, Inc 2014
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/45456
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author Lumentut, Mikail
Howard, Ian
author_facet Lumentut, Mikail
Howard, Ian
author_sort Lumentut, Mikail
building Curtin Institutional Repository
collection Online Access
description The conversion of mechanical vibration to electrical energy has shown great promise for extending battery life of smart sensor wireless devices for various engineering applications. This paper presents novel analytical models of a piezoelectric bimorph, using the closed-form boundary value (CFBV) method, for predicting the electromechanical power harvester frequency response. The derivations of the coupled electromechanical dynamic response of the transverse-longitudinal (CEDRTL) form based on the CFBV method were developed using the reduced strong form method of the Hamiltonian principle. The equations from CEDRTL can be reduced to give the coupled electromechanical dynamic response of the transverse (CEDRT) form. The electromechanical frequency response functions with variable load resistance were also given in detail using Laplace transformation. The two theoretical studies are compared together and validated with an experimental study. For some cases, when the load resistance approached open circuit, the difference between CEDRTL and CEDRT tended to be more pronounced. Conversely, the CEDRTL and CEDRT models tended to overlap when the load resistance approaches short circuit. Nyquist plots can be used to analyse the shifting frequency and amplitude changes due to variable resistance. Overall, the experimental and CEDRTL model results were very close to each other.
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publisher The Institute of Electrical and Electronics Engineers, Inc
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spelling curtin-20.500.11937-454562020-07-27T03:10:15Z Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods Lumentut, Mikail Howard, Ian piezoelectric smart sensor closed-form boundary value Hamiltonian frequency energy harvesting Nyquist plots electromechanical The conversion of mechanical vibration to electrical energy has shown great promise for extending battery life of smart sensor wireless devices for various engineering applications. This paper presents novel analytical models of a piezoelectric bimorph, using the closed-form boundary value (CFBV) method, for predicting the electromechanical power harvester frequency response. The derivations of the coupled electromechanical dynamic response of the transverse-longitudinal (CEDRTL) form based on the CFBV method were developed using the reduced strong form method of the Hamiltonian principle. The equations from CEDRTL can be reduced to give the coupled electromechanical dynamic response of the transverse (CEDRT) form. The electromechanical frequency response functions with variable load resistance were also given in detail using Laplace transformation. The two theoretical studies are compared together and validated with an experimental study. For some cases, when the load resistance approached open circuit, the difference between CEDRTL and CEDRT tended to be more pronounced. Conversely, the CEDRTL and CEDRT models tended to overlap when the load resistance approaches short circuit. Nyquist plots can be used to analyse the shifting frequency and amplitude changes due to variable resistance. Overall, the experimental and CEDRTL model results were very close to each other. 2014 Journal Article http://hdl.handle.net/20.500.11937/45456 10.1109/TMECH.2012.2219066 The Institute of Electrical and Electronics Engineers, Inc fulltext
spellingShingle piezoelectric
smart sensor
closed-form boundary value
Hamiltonian
frequency
energy harvesting
Nyquist plots
electromechanical
Lumentut, Mikail
Howard, Ian
Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods
title Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods
title_full Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods
title_fullStr Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods
title_full_unstemmed Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods
title_short Electromechanical Piezoelectric Power Harvester Frequency Response Modelling Using Closed-Form Boundary Value Methods
title_sort electromechanical piezoelectric power harvester frequency response modelling using closed-form boundary value methods
topic piezoelectric
smart sensor
closed-form boundary value
Hamiltonian
frequency
energy harvesting
Nyquist plots
electromechanical
url http://hdl.handle.net/20.500.11937/45456