Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature

A set of analytical equations for the calculation of the temperature in supercapacitors operating in constant-power applications is presented in this paper. Although the main operation modes of supercapacitors are constant-current and constant-power charge and discharge, this study was focused on th...

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Autores principales:	Joaquín F. Pedrayes, Manuel G. Melero, Joaquín G. Norniella, Manés F. Cabanas, Gonzalo A. Orcajo, Andrés S. González
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	constant-power operation supercapacitors electrical and thermal analysis Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/9edfe3152c454775b374b9f2b2062bba
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spelling	oai:doaj.org-article:9edfe3152c454775b374b9f2b2062bba2021-11-11T15:13:06ZSupercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature10.3390/app1121101532076-3417https://doaj.org/article/9edfe3152c454775b374b9f2b2062bba2021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10153https://doaj.org/toc/2076-3417A set of analytical equations for the calculation of the temperature in supercapacitors operating in constant-power applications is presented in this paper. Although the main operation modes of supercapacitors are constant-current and constant-power charge and discharge, this study was focused on the latter, since both sources and loads act as constant-power systems in a wide range of power conversion facilities. The starting point of this study is the classical supercapacitor model based on electrical and thermal parameters provided by manufacturers or also obtained by experimental means. The proposed mathematical analysis is based on the so-called incomplete gamma function that presents two major advantages over previously existing methods. Firstly, it is not necessary to solve any differential equations system by means of numerical methods, which reduces the required computational effort. Secondly, no simplifications to relief the calculations are made in the computation of any variable. The new formulation renders valid solutions even for high-power demand situations. Moreover, the temperature of the supercapacitor can be expressed as a function of time or any other electrical variable in the charging and discharging processes. Therefore, the proposed formulas are especially remarkable for the electrical and thermal dimensioning of supercapacitors.Joaquín F. PedrayesManuel G. MeleroJoaquín G. NorniellaManés F. CabanasGonzalo A. OrcajoAndrés S. GonzálezMDPI AGarticleconstant-power operationsupercapacitorselectrical and thermal analysisTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10153, p 10153 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	constant-power operation supercapacitors electrical and thermal analysis Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	constant-power operation supercapacitors electrical and thermal analysis Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Joaquín F. Pedrayes Manuel G. Melero Joaquín G. Norniella Manés F. Cabanas Gonzalo A. Orcajo Andrés S. González Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature
description	A set of analytical equations for the calculation of the temperature in supercapacitors operating in constant-power applications is presented in this paper. Although the main operation modes of supercapacitors are constant-current and constant-power charge and discharge, this study was focused on the latter, since both sources and loads act as constant-power systems in a wide range of power conversion facilities. The starting point of this study is the classical supercapacitor model based on electrical and thermal parameters provided by manufacturers or also obtained by experimental means. The proposed mathematical analysis is based on the so-called incomplete gamma function that presents two major advantages over previously existing methods. Firstly, it is not necessary to solve any differential equations system by means of numerical methods, which reduces the required computational effort. Secondly, no simplifications to relief the calculations are made in the computation of any variable. The new formulation renders valid solutions even for high-power demand situations. Moreover, the temperature of the supercapacitor can be expressed as a function of time or any other electrical variable in the charging and discharging processes. Therefore, the proposed formulas are especially remarkable for the electrical and thermal dimensioning of supercapacitors.
format	article
author	Joaquín F. Pedrayes Manuel G. Melero Joaquín G. Norniella Manés F. Cabanas Gonzalo A. Orcajo Andrés S. González
author_facet	Joaquín F. Pedrayes Manuel G. Melero Joaquín G. Norniella Manés F. Cabanas Gonzalo A. Orcajo Andrés S. González
author_sort	Joaquín F. Pedrayes
title	Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature
title_short	Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature
title_full	Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature
title_fullStr	Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature
title_full_unstemmed	Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature
title_sort	supercapacitors in constant-power applications: mathematical analysis for the calculation of temperature
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9edfe3152c454775b374b9f2b2062bba
work_keys_str_mv	AT joaquinfpedrayes supercapacitorsinconstantpowerapplicationsmathematicalanalysisforthecalculationoftemperature AT manuelgmelero supercapacitorsinconstantpowerapplicationsmathematicalanalysisforthecalculationoftemperature AT joaquingnorniella supercapacitorsinconstantpowerapplicationsmathematicalanalysisforthecalculationoftemperature AT manesfcabanas supercapacitorsinconstantpowerapplicationsmathematicalanalysisforthecalculationoftemperature AT gonzaloaorcajo supercapacitorsinconstantpowerapplicationsmathematicalanalysisforthecalculationoftemperature AT andressgonzalez supercapacitorsinconstantpowerapplicationsmathematicalanalysisforthecalculationoftemperature
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Supercapacitors in Constant-Power Applications: Mathematical Analysis for the Calculation of Temperature

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