Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation

Autores
Febbo, Mariano; Machado, Sebastián Pablo; Oliva, Alejandro Raul; Ortiz, Matias; Pereyra, Nicolas
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper presents a set of nonlinear differential equations to model a piezoelectric energy harvesting (PEH) system with a full-bridge waveform rectifier (FWR) under arbitrary base excitations. The PEH comprises a piezoelectric element modeled as a current source with a capacitor in parallel, which are connected with an inductor and a resistor. The inductor is proposed to smooth the current generated by the piezoelectric element under rapid mechanical variations and improve the convergence of the set of differential equations. The equations are obtained using piecewise linear modelling for the diodes. The main advantage of this piecewise linear modelling is considering different bias points to represent the nonlinear characteristics of real diodes. Numerical simulations are employed to obtain the optimum inductor value through a comparison with an analytical result, validated with experimental tests. A real case of random acceleration in a bike is applied to the PEH-FWR to evaluate the performance of the proposed equations. They are validated with experiments, a LTspice formulation and a numerical previous one. The proposed formulation can estimate the output DC voltage and energy for a large range of excitation frequencies, including resonant and nonresonant conditions and arbitrary or harmonically externally excited PEHs with FWR.
Fil: Febbo, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Machado, Sebastián Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Investigación en Multifísica Aplicada. - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires. Grupo de Investigación en Multifísica Aplicada; Argentina
Fil: Oliva, Alejandro Raul. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina
Fil: Ortiz, Matias. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Investigación en Multifísica Aplicada. - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires. Grupo de Investigación en Multifísica Aplicada; Argentina
Fil: Pereyra, Nicolas. Universidad Nacional del Sur; Argentina
Materia
FULL-BRIDGE WAVEFORM RECTIFIER
GENERAL DIFFERENTIAL EQUATIONS
PIECEWISE LINEAR MODELLING
PIEZOELECTRIC BEAM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/219273
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/219273
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validationFebbo, MarianoMachado, Sebastián PabloOliva, Alejandro RaulOrtiz, MatiasPereyra, NicolasFULL-BRIDGE WAVEFORM RECTIFIERGENERAL DIFFERENTIAL EQUATIONSPIECEWISE LINEAR MODELLINGPIEZOELECTRIC BEAMhttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2This paper presents a set of nonlinear differential equations to model a piezoelectric energy harvesting (PEH) system with a full-bridge waveform rectifier (FWR) under arbitrary base excitations. The PEH comprises a piezoelectric element modeled as a current source with a capacitor in parallel, which are connected with an inductor and a resistor. The inductor is proposed to smooth the current generated by the piezoelectric element under rapid mechanical variations and improve the convergence of the set of differential equations. The equations are obtained using piecewise linear modelling for the diodes. The main advantage of this piecewise linear modelling is considering different bias points to represent the nonlinear characteristics of real diodes. Numerical simulations are employed to obtain the optimum inductor value through a comparison with an analytical result, validated with experimental tests. A real case of random acceleration in a bike is applied to the PEH-FWR to evaluate the performance of the proposed equations. They are validated with experiments, a LTspice formulation and a numerical previous one. The proposed formulation can estimate the output DC voltage and energy for a large range of excitation frequencies, including resonant and nonresonant conditions and arbitrary or harmonically externally excited PEHs with FWR.Fil: Febbo, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; ArgentinaFil: Machado, Sebastián Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Investigación en Multifísica Aplicada. - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires. Grupo de Investigación en Multifísica Aplicada; ArgentinaFil: Oliva, Alejandro Raul. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; ArgentinaFil: Ortiz, Matias. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Investigación en Multifísica Aplicada. - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires. Grupo de Investigación en Multifísica Aplicada; ArgentinaFil: Pereyra, Nicolas. Universidad Nacional del Sur; ArgentinaDe Gruyter2023-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/219273Febbo, Mariano; Machado, Sebastián Pablo; Oliva, Alejandro Raul; Ortiz, Matias; Pereyra, Nicolas; Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation; De Gruyter; Energy Harvesting and Systems; 1-2023; 1-142329-87742329-8766CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/ehs-2022-0099/htmlinfo:eu-repo/semantics/altIdentifier/doi/10.1515/ehs-2022-0099info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:05:13Zoai:ri.conicet.gov.ar:11336/219273instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:05:13.879CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
title Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
spellingShingle Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
Febbo, Mariano
FULL-BRIDGE WAVEFORM RECTIFIER
GENERAL DIFFERENTIAL EQUATIONS
PIECEWISE LINEAR MODELLING
PIEZOELECTRIC BEAM
title_short Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
title_full Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
title_fullStr Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
title_full_unstemmed Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
title_sort Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation
dc.creator.none.fl_str_mv Febbo, Mariano
Machado, Sebastián Pablo
Oliva, Alejandro Raul
Ortiz, Matias
Pereyra, Nicolas
author Febbo, Mariano
author_facet Febbo, Mariano
Machado, Sebastián Pablo
Oliva, Alejandro Raul
Ortiz, Matias
Pereyra, Nicolas
author_role author
author2 Machado, Sebastián Pablo
Oliva, Alejandro Raul
Ortiz, Matias
Pereyra, Nicolas
author2_role author
author
author
author
dc.subject.none.fl_str_mv FULL-BRIDGE WAVEFORM RECTIFIER
GENERAL DIFFERENTIAL EQUATIONS
PIECEWISE LINEAR MODELLING
PIEZOELECTRIC BEAM
topic FULL-BRIDGE WAVEFORM RECTIFIER
GENERAL DIFFERENTIAL EQUATIONS
PIECEWISE LINEAR MODELLING
PIEZOELECTRIC BEAM
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This paper presents a set of nonlinear differential equations to model a piezoelectric energy harvesting (PEH) system with a full-bridge waveform rectifier (FWR) under arbitrary base excitations. The PEH comprises a piezoelectric element modeled as a current source with a capacitor in parallel, which are connected with an inductor and a resistor. The inductor is proposed to smooth the current generated by the piezoelectric element under rapid mechanical variations and improve the convergence of the set of differential equations. The equations are obtained using piecewise linear modelling for the diodes. The main advantage of this piecewise linear modelling is considering different bias points to represent the nonlinear characteristics of real diodes. Numerical simulations are employed to obtain the optimum inductor value through a comparison with an analytical result, validated with experimental tests. A real case of random acceleration in a bike is applied to the PEH-FWR to evaluate the performance of the proposed equations. They are validated with experiments, a LTspice formulation and a numerical previous one. The proposed formulation can estimate the output DC voltage and energy for a large range of excitation frequencies, including resonant and nonresonant conditions and arbitrary or harmonically externally excited PEHs with FWR.
Fil: Febbo, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Machado, Sebastián Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Investigación en Multifísica Aplicada. - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires. Grupo de Investigación en Multifísica Aplicada; Argentina
Fil: Oliva, Alejandro Raul. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina
Fil: Ortiz, Matias. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Investigación en Multifísica Aplicada. - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires. Grupo de Investigación en Multifísica Aplicada; Argentina
Fil: Pereyra, Nicolas. Universidad Nacional del Sur; Argentina
description This paper presents a set of nonlinear differential equations to model a piezoelectric energy harvesting (PEH) system with a full-bridge waveform rectifier (FWR) under arbitrary base excitations. The PEH comprises a piezoelectric element modeled as a current source with a capacitor in parallel, which are connected with an inductor and a resistor. The inductor is proposed to smooth the current generated by the piezoelectric element under rapid mechanical variations and improve the convergence of the set of differential equations. The equations are obtained using piecewise linear modelling for the diodes. The main advantage of this piecewise linear modelling is considering different bias points to represent the nonlinear characteristics of real diodes. Numerical simulations are employed to obtain the optimum inductor value through a comparison with an analytical result, validated with experimental tests. A real case of random acceleration in a bike is applied to the PEH-FWR to evaluate the performance of the proposed equations. They are validated with experiments, a LTspice formulation and a numerical previous one. The proposed formulation can estimate the output DC voltage and energy for a large range of excitation frequencies, including resonant and nonresonant conditions and arbitrary or harmonically externally excited PEHs with FWR.
publishDate 2023
dc.date.none.fl_str_mv 2023-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/219273
Febbo, Mariano; Machado, Sebastián Pablo; Oliva, Alejandro Raul; Ortiz, Matias; Pereyra, Nicolas; Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation; De Gruyter; Energy Harvesting and Systems; 1-2023; 1-14
2329-8774
2329-8766
CONICET Digital
CONICET
url http://hdl.handle.net/11336/219273
identifier_str_mv Febbo, Mariano; Machado, Sebastián Pablo; Oliva, Alejandro Raul; Ortiz, Matias; Pereyra, Nicolas; Modelling of a piezoelectric beam with a full-bridge rectifier under arbitrary excitation: experimental validation; De Gruyter; Energy Harvesting and Systems; 1-2023; 1-14
2329-8774
2329-8766
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/ehs-2022-0099/html
info:eu-repo/semantics/altIdentifier/doi/10.1515/ehs-2022-0099
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv De Gruyter
publisher.none.fl_str_mv De Gruyter
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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