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...

Full description

Bibliographic Details
Authors: Bermúdez de Castro López-Varela, Alfredo; Gómez Pedreira, María Dolores; Martínez Suárez, Iván
Format: Article
Publication date:2025
Country:España
Institution:Universidad de Santiago de Compostela (USC)
Repository:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Language:English
OAI Identifier:oai:minerva.usc.gal:10347/43050
Online Access:https://hdl.handle.net/10347/43050
Access Level:Open access
Keyword:Wireless power transfer
Power transfer efficiency
Magnetically coupled circuits
Resonant coupling
_version_ 1878736942606057472
author Bermúdez de Castro López-Varela, Alfredo
author2 Gómez Pedreira, María Dolores
Martínez Suárez, Iván
author2_role author
author
author_browse Bermúdez de Castro López-Varela, Alfredo
Gómez Pedreira, María Dolores
Martínez Suárez, Iván
author_facet Bermúdez de Castro López-Varela, Alfredo
Gómez Pedreira, María Dolores
Martínez Suárez, Iván
author_role author
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
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.
eu_rights_str_mv openAccess
format article
id ES_97ea780ec3cc0370a4e5fd414996dcaa
institution Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:minerva.usc.gal:10347/43050
publishDate 2025
publishDateSort 2025
publisher Springer
publisherStr Springer
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
spelling A comparison of lumped parameter models and Maxwell’s equations for wireless power transfer Bermúdez de Castro López-Varela, Alfredo Gómez Pedreira, María Dolores Martínez Suárez, Iván Wireless power transfer Power transfer efficiency Magnetically coupled circuits Resonant coupling 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. Springer https://hdl.handle.net/10347/43050
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 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_short 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
topic Wireless power transfer
Power transfer efficiency
Magnetically coupled circuits
Resonant coupling
topic_facet Wireless power transfer
Power transfer efficiency
Magnetically coupled circuits
Resonant coupling
url https://hdl.handle.net/10347/43050