A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer

The main objective of this paper is to compare the lumped parameter models commonly used in the calculation of Wireless Power Transfer (WPT) and the distributed model derived from Maxwell’s equations. First, the WPT between two coils in the harmonic regime is analyzed. A lumped parameter model for W...

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Autores: Bermúdez de Castro López-Varela, Alfredo, Gómez Pedreira, María Dolores, Martínez Suárez, Iván
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/43050
Acceso en línea:https://hdl.handle.net/10347/43050
Access Level:acceso abierto
Palabra clave:Wireless power transfer
Power transfer efficiency
Magnetically coupled circuits
Resonant coupling
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spelling A comparison of lumped parameter models and Maxwell’s equations for wireless power transferBermúdez de Castro López-Varela, AlfredoGómez Pedreira, María DoloresMartínez Suárez, IvánWireless power transferPower transfer efficiencyMagnetically coupled circuitsResonant couplingThe main objective of this paper is to compare the lumped parameter models commonly used in the calculation of Wireless Power Transfer (WPT) and the distributed model derived from Maxwell’s equations. First, the WPT between two coils in the harmonic regime is analyzed. A lumped parameter model for WPT between two coils is introduced, and theoretical calculations for power transfer efficiency (PTE) are obtained. Then, the main advantages and disadvantages of this model with respect to the Maxwell’s equations model are discussed and a procedure for parameter calculation is presented. A comparison of the two models is made through two numerical tests: the first representing the charging of a mobile phone and the second involving a wireless charging process of an electric vehicle (EV). Once the PTE is obtained for many frequency values, the calculations are compared, resulting in relevant errors committed by the lumped parameter model under certain conditions. The accuracy of the lumped model is particularly low when distributed eddy currents occur in the WPT problem because the model does not account for this phenomenon, as Maxwell’s equations do. Therefore, the Maxwell’s equations model should be used in such cases, despite its higher computational cost.SpringerUniversidade de Santiago de Compostela. Departamento de Matemática Aplicada20252025-01-0120252025-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/43050reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122625OB-I00 MODELADO, SIMULACION, OPTIMIZACION Y CONTROL. APLICACIONES EN CIENCIA E INDUSTRIAopen accesshttp://purl.org/coar/access_right/c_abf2This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/430502026-06-15T12:47:27Z
dc.title.none.fl_str_mv A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
title A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
spellingShingle A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
Bermúdez de Castro López-Varela, Alfredo
Wireless power transfer
Power transfer efficiency
Magnetically coupled circuits
Resonant coupling
title_short A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
title_full A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
title_fullStr A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
title_full_unstemmed A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
title_sort A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer
dc.creator.none.fl_str_mv Bermúdez de Castro López-Varela, Alfredo
Gómez Pedreira, María Dolores
Martínez Suárez, Iván
author Bermúdez de Castro López-Varela, Alfredo
author_facet Bermúdez de Castro López-Varela, Alfredo
Gómez Pedreira, María Dolores
Martínez Suárez, Iván
author_role author
author2 Gómez Pedreira, María Dolores
Martínez Suárez, Iván
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Matemática Aplicada

dc.subject.none.fl_str_mv Wireless power transfer
Power transfer efficiency
Magnetically coupled circuits
Resonant coupling
topic Wireless power transfer
Power transfer efficiency
Magnetically coupled circuits
Resonant coupling
description The main objective of this paper is to compare the lumped parameter models commonly used in the calculation of Wireless Power Transfer (WPT) and the distributed model derived from Maxwell’s equations. First, the WPT between two coils in the harmonic regime is analyzed. A lumped parameter model for WPT between two coils is introduced, and theoretical calculations for power transfer efficiency (PTE) are obtained. Then, the main advantages and disadvantages of this model with respect to the Maxwell’s equations model are discussed and a procedure for parameter calculation is presented. A comparison of the two models is made through two numerical tests: the first representing the charging of a mobile phone and the second involving a wireless charging process of an electric vehicle (EV). Once the PTE is obtained for many frequency values, the calculations are compared, resulting in relevant errors committed by the lumped parameter model under certain conditions. The accuracy of the lumped model is particularly low when distributed eddy currents occur in the WPT problem because the model does not account for this phenomenon, as Maxwell’s equations do. Therefore, the Maxwell’s equations model should be used in such cases, despite its higher computational cost.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/43050
url https://hdl.handle.net/10347/43050
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122625OB-I00 MODELADO, SIMULACION, OPTIMIZACION Y CONTROL. APLICACIONES EN CIENCIA E INDUSTRIA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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