Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior
In this paper, we propose very simple analytical methodologies for modeling the behavior of photovoltaic (solar cells/panels) using a one-diode/two-resistor (1-D/2-R) equivalent circuit. A value of <i>a</i> = 1 for the ideality factor is shown to be very reasonable for the different phot...
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MDPI AG
2021-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/9/4250 |
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| author | José Miguel Álvarez Daniel Alfonso-Corcuera Elena Roibás-Millán Javier Cubas Juan Cubero-Estalrrich Alejandro Gonzalez-Estrada Rocío Jado-Puente Marlon Sanabria-Pinzón Santiago Pindado |
| author_facet | José Miguel Álvarez Daniel Alfonso-Corcuera Elena Roibás-Millán Javier Cubas Juan Cubero-Estalrrich Alejandro Gonzalez-Estrada Rocío Jado-Puente Marlon Sanabria-Pinzón Santiago Pindado |
| author_sort | José Miguel Álvarez |
| collection | DOAJ |
| description | In this paper, we propose very simple analytical methodologies for modeling the behavior of photovoltaic (solar cells/panels) using a one-diode/two-resistor (1-D/2-R) equivalent circuit. A value of <i>a</i> = 1 for the ideality factor is shown to be very reasonable for the different photovoltaic technologies studied here. The solutions to the analytical equations of this model are simplified using easy mathematical expressions defined for the Lambert W-function. The definition of these mathematical expressions was based on a large dataset related to solar cells and panels obtained from the available academic literature. These simplified approaches were successfully used to extract the parameters from explicit methods for analyzing the behavior of solar cells/panels, where the exact solutions depend on the Lambert W-function. Finally, a case study was carried out that consisted of fitting the aforementioned models to the behavior (that is, the <i>I-V</i> curve) of two solar panels from the UPMSat-1 satellite. The results show a fairly high level of accuracy for the proposed methodologies. |
| first_indexed | 2024-03-10T11:38:47Z |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T11:38:47Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-a6a345c984a94e55bd74271ea22c0ec12023-11-21T18:42:19ZengMDPI AGApplied Sciences2076-34172021-05-01119425010.3390/app11094250Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel BehaviorJosé Miguel Álvarez0Daniel Alfonso-Corcuera1Elena Roibás-Millán2Javier Cubas3Juan Cubero-Estalrrich4Alejandro Gonzalez-Estrada5Rocío Jado-Puente6Marlon Sanabria-Pinzón7Santiago Pindado8Instituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainInstituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, SpainIn this paper, we propose very simple analytical methodologies for modeling the behavior of photovoltaic (solar cells/panels) using a one-diode/two-resistor (1-D/2-R) equivalent circuit. A value of <i>a</i> = 1 for the ideality factor is shown to be very reasonable for the different photovoltaic technologies studied here. The solutions to the analytical equations of this model are simplified using easy mathematical expressions defined for the Lambert W-function. The definition of these mathematical expressions was based on a large dataset related to solar cells and panels obtained from the available academic literature. These simplified approaches were successfully used to extract the parameters from explicit methods for analyzing the behavior of solar cells/panels, where the exact solutions depend on the Lambert W-function. Finally, a case study was carried out that consisted of fitting the aforementioned models to the behavior (that is, the <i>I-V</i> curve) of two solar panels from the UPMSat-1 satellite. The results show a fairly high level of accuracy for the proposed methodologies.https://www.mdpi.com/2076-3417/11/9/4250solar cellsolar panelparameter extractionanalyticalLambert W-functionspacecraft solar panels |
| spellingShingle | José Miguel Álvarez Daniel Alfonso-Corcuera Elena Roibás-Millán Javier Cubas Juan Cubero-Estalrrich Alejandro Gonzalez-Estrada Rocío Jado-Puente Marlon Sanabria-Pinzón Santiago Pindado Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior Applied Sciences solar cell solar panel parameter extraction analytical Lambert W-function spacecraft solar panels |
| title | Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior |
| title_full | Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior |
| title_fullStr | Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior |
| title_full_unstemmed | Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior |
| title_short | Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior |
| title_sort | analytical modeling of current voltage photovoltaic performance an easy approach to solar panel behavior |
| topic | solar cell solar panel parameter extraction analytical Lambert W-function spacecraft solar panels |
| url | https://www.mdpi.com/2076-3417/11/9/4250 |
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