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Article

Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior

1
Instituto Universitario de Microgravedad “Ignacio Da Riva” (IDR/UPM), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, Spain
2
Departamento de Sistemas Aeroespaciales, Transporte Aéreo y Aeropuertos (SATAA), ETSI Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza del Cardenal Cisneros 3, 28040 Madrid, Spain
*
Author to whom correspondence should be addressed.
Academic Editor: Luis Hernández-Callejo
Appl. Sci. 2021, 11(9), 4250; https://doi.org/10.3390/app11094250
Received: 13 March 2021 / Revised: 29 April 2021 / Accepted: 3 May 2021 / Published: 7 May 2021
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 a = 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-V curve) of two solar panels from the UPMSat-1 satellite. The results show a fairly high level of accuracy for the proposed methodologies. View Full-Text
Keywords: solar cell; solar panel; parameter extraction; analytical; Lambert W-function; spacecraft solar panels; I-V curve; modeling solar cell; solar panel; parameter extraction; analytical; Lambert W-function; spacecraft solar panels; I-V curve; modeling
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MDPI and ACS Style

Álvarez, J.M.; Alfonso-Corcuera, D.; Roibás-Millán, E.; Cubas, J.; Cubero-Estalrrich, J.; Gonzalez-Estrada, A.; Jado-Puente, R.; Sanabria-Pinzón, M.; Pindado, S. Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior. Appl. Sci. 2021, 11, 4250. https://doi.org/10.3390/app11094250

AMA Style

Álvarez JM, Alfonso-Corcuera D, Roibás-Millán E, Cubas J, Cubero-Estalrrich J, Gonzalez-Estrada A, Jado-Puente R, Sanabria-Pinzón M, Pindado S. Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior. Applied Sciences. 2021; 11(9):4250. https://doi.org/10.3390/app11094250

Chicago/Turabian Style

Álvarez, José M., Daniel Alfonso-Corcuera, Elena Roibás-Millán, Javier Cubas, Juan Cubero-Estalrrich, Alejandro Gonzalez-Estrada, Rocío Jado-Puente, Marlon Sanabria-Pinzón, and Santiago Pindado. 2021. "Analytical Modeling of Current-Voltage Photovoltaic Performance: An Easy Approach to Solar Panel Behavior" Applied Sciences 11, no. 9: 4250. https://doi.org/10.3390/app11094250

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