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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/22/10952 |
| _version_ | 1827677408374816768 |
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| author | Alfredo Sanchez Garcia Rune Strandberg |
| author_facet | Alfredo Sanchez Garcia Rune Strandberg |
| author_sort | Alfredo Sanchez Garcia |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:43:36Z |
| format | Article |
| id | doaj.art-d47a63f839f145c3baaff7acd13d5ca9 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T05:43:36Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-d47a63f839f145c3baaff7acd13d5ca92023-11-22T22:21:25ZengMDPI AGApplied Sciences2076-34172021-11-0111221095210.3390/app112210952Analytical Modeling of the Maximum Power Point with Series ResistanceAlfredo Sanchez Garcia0Rune Strandberg1Department of Engineering Sciences, Faculty of Engineering and Science, University of Agder, 4879 Grimstad, NorwayDepartment of Engineering Sciences, Faculty of Engineering and Science, University of Agder, 4879 Grimstad, NorwayThis 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.https://www.mdpi.com/2076-3417/11/22/10952maximum power pointseries resistanceLambert’s W functionanalytical expressions |
| spellingShingle | Alfredo Sanchez Garcia Rune Strandberg Analytical Modeling of the Maximum Power Point with Series Resistance Applied Sciences maximum power point series resistance Lambert’s W function analytical expressions |
| title | 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_short | Analytical Modeling of the Maximum Power Point with Series Resistance |
| title_sort | analytical modeling of the maximum power point with series resistance |
| topic | maximum power point series resistance Lambert’s W function analytical expressions |
| url | https://www.mdpi.com/2076-3417/11/22/10952 |
| work_keys_str_mv | AT alfredosanchezgarcia analyticalmodelingofthemaximumpowerpointwithseriesresistance AT runestrandberg analyticalmodelingofthemaximumpowerpointwithseriesresistance |