Time delay in the charge/discharge of fractional-order capacitive energy storage devices

Electrical energy storage devices exhibit dispersive properties that control their charge and discharge processes. To get a deeper understanding of these anomalous phenomena, it is essential to go beyond static viewpoints of circuit theory in order to accurately characterize the complex interplay of...

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Detalles Bibliográficos
Autores: Balaguera, Enrique H., Allagui, Anis
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
OAI Identifier:oai:burjcdigital.urjc.es:10115/39734
Acceso en línea:https://hdl.handle.net/10115/39734
Access Level:acceso abierto
Palabra clave:Capacitance
Constant phase element
Transient analysis
Fractional calculus
Steady-state response
Supercapacitor
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spelling Time delay in the charge/discharge of fractional-order capacitive energy storage devicesBalaguera, Enrique H.Allagui, AnisCapacitanceConstant phase elementTransient analysisFractional calculusSteady-state responseSupercapacitorElectrical energy storage devices exhibit dispersive properties that control their charge and discharge processes. To get a deeper understanding of these anomalous phenomena, it is essential to go beyond static viewpoints of circuit theory in order to accurately characterize the complex interplay of internal mechanisms. Specifically, the (dis)charging time of resistive-capacitive networks is commonly estimated as four times the product of the Thévenin resistance and the capacitance itself by assuming ideal exponential relaxations in spite of the intrinsic fractional dynamics of the real energy storage materials, leading to inaccurate and erroneous characterization protocols. The purpose of this work is to provide recommended practices to find the steady-state operation of such type of devices from time-domain data with a decelerated behavior of the Mittag-Leffler function at long time scales, introducing the concept of “incremental capacitance” in the transition from ideal to fractional-order capacitor and thus, an estimation of the charge/discharge time delay. Our theoretical analysis is validated by providing a representative example of experimental application, based on an electrochemical power source, such as supercapacitors under switching-type operation. We hope to bring such study to the attention of multidisciplinary readers, both from academia and industry, focused on energy storage device researchElsevier202420242024info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10115/39734reponame:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlosinstname:Universidad Rey Juan CarlosInglésAtribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessoai:burjcdigital.urjc.es:10115/397342026-06-24T12:48:17Z
dc.title.none.fl_str_mv Time delay in the charge/discharge of fractional-order capacitive energy storage devices
title Time delay in the charge/discharge of fractional-order capacitive energy storage devices
spellingShingle Time delay in the charge/discharge of fractional-order capacitive energy storage devices
Balaguera, Enrique H.
Capacitance
Constant phase element
Transient analysis
Fractional calculus
Steady-state response
Supercapacitor
title_short Time delay in the charge/discharge of fractional-order capacitive energy storage devices
title_full Time delay in the charge/discharge of fractional-order capacitive energy storage devices
title_fullStr Time delay in the charge/discharge of fractional-order capacitive energy storage devices
title_full_unstemmed Time delay in the charge/discharge of fractional-order capacitive energy storage devices
title_sort Time delay in the charge/discharge of fractional-order capacitive energy storage devices
dc.creator.none.fl_str_mv Balaguera, Enrique H.
Allagui, Anis
author Balaguera, Enrique H.
author_facet Balaguera, Enrique H.
Allagui, Anis
author_role author
author2 Allagui, Anis
author2_role author
dc.subject.none.fl_str_mv Capacitance
Constant phase element
Transient analysis
Fractional calculus
Steady-state response
Supercapacitor
topic Capacitance
Constant phase element
Transient analysis
Fractional calculus
Steady-state response
Supercapacitor
description Electrical energy storage devices exhibit dispersive properties that control their charge and discharge processes. To get a deeper understanding of these anomalous phenomena, it is essential to go beyond static viewpoints of circuit theory in order to accurately characterize the complex interplay of internal mechanisms. Specifically, the (dis)charging time of resistive-capacitive networks is commonly estimated as four times the product of the Thévenin resistance and the capacitance itself by assuming ideal exponential relaxations in spite of the intrinsic fractional dynamics of the real energy storage materials, leading to inaccurate and erroneous characterization protocols. The purpose of this work is to provide recommended practices to find the steady-state operation of such type of devices from time-domain data with a decelerated behavior of the Mittag-Leffler function at long time scales, introducing the concept of “incremental capacitance” in the transition from ideal to fractional-order capacitor and thus, an estimation of the charge/discharge time delay. Our theoretical analysis is validated by providing a representative example of experimental application, based on an electrochemical power source, such as supercapacitors under switching-type operation. We hope to bring such study to the attention of multidisciplinary readers, both from academia and industry, focused on energy storage device research
publishDate 2024
dc.date.none.fl_str_mv 2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10115/39734
url https://hdl.handle.net/10115/39734
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Atribución-NoComercial 4.0 Internacional
http://creativecommons.org/licenses/by-nc/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
http://creativecommons.org/licenses/by-nc/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
instname:Universidad Rey Juan Carlos
instname_str Universidad Rey Juan Carlos
reponame_str BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
collection BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
repository.name.fl_str_mv
repository.mail.fl_str_mv
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