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A Discrete Electrical Model for Photovoltaic Solar Cells—d1MxP

Author

Listed:
  • João Paulo N. Torres

    (Academia Militar/CINAMIL, Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal
    Instituto de Telecomunicações, 1049-001 Lisbon, Portugal)

  • Ricardo A. Marques Lameirinhas

    (Instituto de Telecomunicações, 1049-001 Lisbon, Portugal
    Department of Electrical and Computer Engineering, Instituto Superior Técnico, 1049-001 Lisbon, Portugal)

  • Catarina P. Correia V. Bernardo

    (Department of Electrical and Computer Engineering, Instituto Superior Técnico, 1049-001 Lisbon, Portugal)

  • Helena Isabel Veiga

    (Academia Militar/CINAMIL, Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal)

  • Pedro Mendonça dos Santos

    (Academia Militar/CINAMIL, Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal
    Instituto de Telecomunicações, 1049-001 Lisbon, Portugal)

Abstract

Solar cell equivalent circuit modelling is usually based on continuous I-V models, with a set of data obtained by analytical expressions. This work proposes an almost discrete novel mathematical method and correspondent electrical model, based on the I-V curve adjustment at every two adjacent points. It is based on the discretisation of any diode model behaviour, such as the 1M5P (also known as 1D5P) or the 1M7P (also known as 2D7P). For this reason, the model is named d1MxP, meaning that it is a discrete (d) model (1M) with x parameters (xP). The modelling methodology validation process uses experimental data already published in the literature. According to the presented results, the proposed method shows increased accuracy when compared to the 1M5P or 1M7P equivalent models. The accuracy on the maximum power point and fill factor determination is relevant, resulting in an improvement of up to 3.34% in the maximum power, up to 5.70% in its voltage and up to 8.20% in its current, for the analysed data. Furthermore, Fill Factor values, have variation from up to 35.98%. The temperature influence on the silicon solar cell is also analysed, to validate the results. The proposed method allows highly accurate curve fitting to the (experimental) points and consequently, to obtain a more accurate model to analyse the performance of solar cells under different conditions.

Suggested Citation

  • João Paulo N. Torres & Ricardo A. Marques Lameirinhas & Catarina P. Correia V. Bernardo & Helena Isabel Veiga & Pedro Mendonça dos Santos, 2023. "A Discrete Electrical Model for Photovoltaic Solar Cells—d1MxP," Energies, MDPI, vol. 16(4), pages 1-14, February.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:4:p:2018-:d:1072454
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    References listed on IDEAS

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    1. Tiago Alves & João Paulo N. Torres & Ricardo A. Marques Lameirinhas & Carlos A. F. Fernandes, 2021. "Different Techniques to Mitigate Partial Shading in Photovoltaic Panels," Energies, MDPI, vol. 14(13), pages 1-25, June.
    2. Sinke, Wim C., 2019. "Development of photovoltaic technologies for global impact," Renewable Energy, Elsevier, vol. 138(C), pages 911-914.
    3. Rui Castro & Miguel Silva, 2021. "Experimental and Theoretical Validation of One Diode and Three Parameters–Based PV Models," Energies, MDPI, vol. 14(8), pages 1-25, April.
    4. Ricardo A. Marques Lameirinhas & João Paulo N. Torres & João P. de Melo Cunha, 2022. "A Photovoltaic Technology Review: History, Fundamentals and Applications," Energies, MDPI, vol. 15(5), pages 1-44, March.
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    Cited by:

    1. Wiktor Olchowik & Marcin Bednarek & Tadeusz Dąbrowski & Adam Rosiński, 2023. "Application of the Energy Efficiency Mathematical Model to Diagnose Photovoltaic Micro-Systems," Energies, MDPI, vol. 16(18), pages 1-24, September.
    2. João Paulo N. Torres & Ricardo A. Marques Lameirinhas & Catarina Pinho Correia Valério Bernardo & Sofia Lima Martins & Pedro Mendonça dos Santos & Helena Isabel Veiga & Maria João Marques Martins & Pa, 2023. "Analysis of Different Third-Generation Solar Cells Using the Discrete Electrical Model d1MxP," Energies, MDPI, vol. 16(7), pages 1-12, April.
    3. Catarina Pinho Correia Valério Bernardo & Ricardo A. Marques Lameirinhas & João Paulo N. Torres & António Baptista & Maria João Marques Martins, 2024. "Experimental Analysis of the Light Wavelength’s Impact on the Performance of a Silicon Solar Cell," Energies, MDPI, vol. 17(9), pages 1-20, April.

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