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Simple mathematical approach to solar cell/panel behavior based on datasheet information

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  • Pindado, Santiago
  • Cubas, Javier

Abstract

A new explicit mathematical expression is used to describe the behavior of a photovoltaic device (solar cell/panel), that is, its I-V curve, based on the characteristic points normally included in the manufacturers’ datasheets. This expression consists of two simple equations, one for voltage levels lower than the voltage at the maximum power point, V < Vmp, and the other one for voltage levels above this point, V > Vmp. The first equation is defined with two of the three characteristic points (short circuit and maximum power points), whereas the second one is defined with the current and voltage levels at maximum power point, the open circuit voltage, and a constant that can be adjusted based on: 1) the best fitting to the data within the bracket [Vmp, Voc], or 2) one point within this bracket, or 3) the slope of the I-V curve at the open circuit point, or 4) an estimation of that slope. Results of the solar cell/panel behavior analysis obtained with the proposed methodology, are similar to the ones obtained with the well-known 1-diode/2-resistor equivalent circuit model, in terms of accuracy.

Suggested Citation

  • Pindado, Santiago & Cubas, Javier, 2017. "Simple mathematical approach to solar cell/panel behavior based on datasheet information," Renewable Energy, Elsevier, vol. 103(C), pages 729-738.
    • Handle: RePEc:eee:renene:v:103:y:2017:i:c:p:729-738
    DOI: 10.1016/j.renene.2016.11.007
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    References listed on IDEAS

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    Cited by:

    1. Shi, Nan & Lv, Yanling & Zhang, Yuchen & Zhu, Xianhui, 2023. "Linear fitting Rule of I–V characteristics of thin-film cells based on Bezier function," Energy, Elsevier, vol. 278(PB).
    2. Louzazni, Mohamed & Al-Dahidi, Sameer, 2021. "Approximation of photovoltaic characteristics curves using Bézier Curve," Renewable Energy, Elsevier, vol. 174(C), pages 715-732.
    3. Ernesto Bárcenas-Bárcenas & Diego R. Espinoza-Trejo & José A. Pecina-Sánchez & Héctor A. Álvarez-Macías & Isaac Compeán-Martínez & Ángel A. Vértiz-Hernández, 2023. "An improved Fractional MPPT Method by Using a Small Circle Approximation of the P–V Characteristic Curve," Mathematics, MDPI, vol. 11(3), pages 1-15, January.
    4. Santiago Pindado & Javier Cubas & Elena Roibás-Millán & Francisco Bugallo-Siegel & Félix Sorribes-Palmer, 2018. "Assessment of Explicit Models for Different Photovoltaic Technologies," Energies, MDPI, vol. 11(6), pages 1-22, May.
    5. Schuster, Christian Stefano, 2020. "Analytical framework for the assessment and modelling of multi-junction solar cells in the outdoors," Renewable Energy, Elsevier, vol. 152(C), pages 1367-1379.
    6. Abbassi, Rabeh & Abbassi, Abdelkader & Jemli, Mohamed & Chebbi, Souad, 2018. "Identification of unknown parameters of solar cell models: A comprehensive overview of available approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 90(C), pages 453-474.

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