Asymptotic reduction of a porous electrode model for lithium-ion batteries

We present a porous electrode model for lithium-ion batteries using Butler-Volmer reaction kinetics. We model lithium concentration in both the solid and fluid phase, along with solid and liquid electric potential. Through asymptotic reduction, we show that the electric potentials are spatially homo...

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Autores: Moyles, I.R., Hennessy, M.G., Myers, T.G., Wetton, B.R.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/445825
Acesso em linha:http://hdl.handle.net/2072/445825
Access Level:acceso abierto
Palavra-chave:51
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spelling Asymptotic reduction of a porous electrode model for lithium-ion batteriesMoyles, I.R.Hennessy, M.G.Myers, T.G.Wetton, B.R.51We present a porous electrode model for lithium-ion batteries using Butler-Volmer reaction kinetics. We model lithium concentration in both the solid and fluid phase, along with solid and liquid electric potential. Through asymptotic reduction, we show that the electric potentials are spatially homogeneous, which decouples the problem into a series of time-dependent problems. These problems can be solved on three distinguished time scales: An early time scale where capacitance effects in the electrode dominate, a mid-range time scale where a spatial concentration gradient forms in the electrolyte, and a long-time scale where each of the electrodes saturate and deplete with lithium, respectively. The solid-phase concentration profiles are linear functions of time and the electrolyte potential is everywhere zero, which allows the model to be reduced to a system of two uncoupled ordinary differential equations. Analytic and numerical results are compared with full numerical simulations and experimental discharge curves, demonstrating excellent agreement. © 2019 Society for Industrial and Applied Mathematics.Society for Industrial and Applied Mathematics Publications2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion36 p.application/pdfhttp://hdl.handle.net/2072/445825RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésSIAM Journal on Applied Mathematicsinfo:eu-repo/semantics/openAccessoai:recercat.cat:2072/4458252026-05-29T05:05:01Z
dc.title.none.fl_str_mv Asymptotic reduction of a porous electrode model for lithium-ion batteries
title Asymptotic reduction of a porous electrode model for lithium-ion batteries
spellingShingle Asymptotic reduction of a porous electrode model for lithium-ion batteries
Moyles, I.R.
51
title_short Asymptotic reduction of a porous electrode model for lithium-ion batteries
title_full Asymptotic reduction of a porous electrode model for lithium-ion batteries
title_fullStr Asymptotic reduction of a porous electrode model for lithium-ion batteries
title_full_unstemmed Asymptotic reduction of a porous electrode model for lithium-ion batteries
title_sort Asymptotic reduction of a porous electrode model for lithium-ion batteries
dc.creator.none.fl_str_mv Moyles, I.R.
Hennessy, M.G.
Myers, T.G.
Wetton, B.R.
author Moyles, I.R.
author_facet Moyles, I.R.
Hennessy, M.G.
Myers, T.G.
Wetton, B.R.
author_role author
author2 Hennessy, M.G.
Myers, T.G.
Wetton, B.R.
author2_role author
author
author
dc.subject.none.fl_str_mv 51
topic 51
description We present a porous electrode model for lithium-ion batteries using Butler-Volmer reaction kinetics. We model lithium concentration in both the solid and fluid phase, along with solid and liquid electric potential. Through asymptotic reduction, we show that the electric potentials are spatially homogeneous, which decouples the problem into a series of time-dependent problems. These problems can be solved on three distinguished time scales: An early time scale where capacitance effects in the electrode dominate, a mid-range time scale where a spatial concentration gradient forms in the electrolyte, and a long-time scale where each of the electrodes saturate and deplete with lithium, respectively. The solid-phase concentration profiles are linear functions of time and the electrolyte potential is everywhere zero, which allows the model to be reduced to a system of two uncoupled ordinary differential equations. Analytic and numerical results are compared with full numerical simulations and experimental discharge curves, demonstrating excellent agreement. © 2019 Society for Industrial and Applied Mathematics.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/2072/445825
url http://hdl.handle.net/2072/445825
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv SIAM Journal on Applied Mathematics
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 36 p.
application/pdf
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics Publications
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics Publications
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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