Analytical Modeling of the Maximum Power Point with Series Resistance

This paper presents new analytical expressions for the maximum power point voltage, current, and power that have an explicit dependence on the series resistance. An explicit expression that relates the series resistance to well-known solar cell parameters was also derived. The range of the validity...

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Autores principales:	Alfredo Sanchez Garcia, Rune Strandberg
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	maximum power point series resistance Lambert’s W function analytical expressions 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/d47a63f839f145c3baaff7acd13d5ca9
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spelling	oai:doaj.org-article:d47a63f839f145c3baaff7acd13d5ca92021-11-25T16:41:42ZAnalytical Modeling of the Maximum Power Point with Series Resistance10.3390/app1122109522076-3417https://doaj.org/article/d47a63f839f145c3baaff7acd13d5ca92021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10952https://doaj.org/toc/2076-3417This paper presents new analytical expressions for the maximum power point voltage, current, and power that have an explicit dependence on the series resistance. An explicit expression that relates the series resistance to well-known solar cell parameters was also derived. The range of the validity of the model, as well as the mathematical assumptions taken to derive it are explained and discussed. To test the accuracy of the derived model, a numerical single-diode model with solar cell parameters whose values can be found in the latest installment of the solar cell efficiency tables was used. The accuracy of the derived model was found to increase with increasing bandgap and to decrease with increasing series resistance. An experimental validation of the analytical model is provided and its practical limitations addressed. The new expressions predicted the maximum power obtainable by the studied cells with estimated errors below <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.1</mn><mo>%</mo></mrow></semantics></math></inline-formula> compared to the numerical model, for typical values of the series resistance.Alfredo Sanchez GarciaRune StrandbergMDPI AGarticlemaximum power pointseries resistanceLambert’s W functionanalytical expressionsTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10952, p 10952 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	maximum power point series resistance Lambert’s W function analytical expressions Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	maximum power point series resistance Lambert’s W function analytical expressions Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Alfredo Sanchez Garcia Rune Strandberg Analytical Modeling of the Maximum Power Point with Series Resistance
description	This paper presents new analytical expressions for the maximum power point voltage, current, and power that have an explicit dependence on the series resistance. An explicit expression that relates the series resistance to well-known solar cell parameters was also derived. The range of the validity of the model, as well as the mathematical assumptions taken to derive it are explained and discussed. To test the accuracy of the derived model, a numerical single-diode model with solar cell parameters whose values can be found in the latest installment of the solar cell efficiency tables was used. The accuracy of the derived model was found to increase with increasing bandgap and to decrease with increasing series resistance. An experimental validation of the analytical model is provided and its practical limitations addressed. The new expressions predicted the maximum power obtainable by the studied cells with estimated errors below <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.1</mn><mo>%</mo></mrow></semantics></math></inline-formula> compared to the numerical model, for typical values of the series resistance.
format	article
author	Alfredo Sanchez Garcia Rune Strandberg
author_facet	Alfredo Sanchez Garcia Rune Strandberg
author_sort	Alfredo Sanchez Garcia
title	Analytical Modeling of the Maximum Power Point with Series Resistance
title_short	Analytical Modeling of the Maximum Power Point with Series Resistance
title_full	Analytical Modeling of the Maximum Power Point with Series Resistance
title_fullStr	Analytical Modeling of the Maximum Power Point with Series Resistance
title_full_unstemmed	Analytical Modeling of the Maximum Power Point with Series Resistance
title_sort	analytical modeling of the maximum power point with series resistance
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d47a63f839f145c3baaff7acd13d5ca9
work_keys_str_mv	AT alfredosanchezgarcia analyticalmodelingofthemaximumpowerpointwithseriesresistance AT runestrandberg analyticalmodelingofthemaximumpowerpointwithseriesresistance
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Analytical Modeling of the Maximum Power Point with Series Resistance

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