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Analytical and quasi-explicit four arbitrary point method for extraction of solar cell single-diode model parameters

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  • Toledo, F.J.
  • Blanes, José M.

Abstract

In this paper, the five parameters of the solar cell single-diode model are analytical and quasi-explicitly extracted for the first time, just using the coordinates of four arbitrary points of the characteristic I–V curve and the slopes of the curve in these points. The new method presented, called Analytical and Quasi-Explicit (AQE) method, is exact because no simplifications of the model nor a priori approximations of the parameters are used and, it is quasi-explicit in the sense that all the parameters except one are explicitly given. The unique parameter not explicitly computed is easily obtained by solving a five-degree polynomial equation. Accurate and practical conditions are provided to select which solution of the previous equation is the desired parameter.

Suggested Citation

  • Toledo, F.J. & Blanes, José M., 2016. "Analytical and quasi-explicit four arbitrary point method for extraction of solar cell single-diode model parameters," Renewable Energy, Elsevier, vol. 92(C), pages 346-356.
    • Handle: RePEc:eee:renene:v:92:y:2016:i:c:p:346-356
    DOI: 10.1016/j.renene.2016.02.012
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    References listed on IDEAS

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    1. de Blas, M.A & Torres, J.L & Prieto, E & Garcı́a, A, 2002. "Selecting a suitable model for characterizing photovoltaic devices," Renewable Energy, Elsevier, vol. 25(3), pages 371-380.
    2. Javier Cubas & Santiago Pindado & Carlos De Manuel, 2014. "Explicit Expressions for Solar Panel Equivalent Circuit Parameters Based on Analytical Formulation and the Lambert W-Function," Energies, MDPI, vol. 7(7), pages 1-18, June.
    3. Toledo, F.J. & Blanes, José M. & Garrigós, Ausiàs & Martínez, José A., 2012. "Analytical resolution of the electrical four-parameters model of a photovoltaic module using small perturbation around the operating point," Renewable Energy, Elsevier, vol. 43(C), pages 83-89.
    4. Toledo, F.J. & Blanes, Jose M., 2014. "Geometric properties of the single-diode photovoltaic model and a new very simple method for parameters extraction," Renewable Energy, Elsevier, vol. 72(C), pages 125-133.
    5. Garrigós, Ausias & Blanes, José M. & Carrasco, José A. & Ejea, Juan B., 2007. "Real time estimation of photovoltaic modules characteristics and its application to maximum power point operation," Renewable Energy, Elsevier, vol. 32(6), pages 1059-1076.
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    Citations

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    Cited by:

    1. Esteban Velilla & Juan Bernardo Cano & Keony Jimenez & Jaime Valencia & Daniel Ramirez & Franklin Jaramillo, 2018. "Numerical Analysis to Determine Reliable One-Diode Model Parameters for Perovskite Solar Cells," Energies, MDPI, vol. 11(8), pages 1-12, July.
    2. Heidi Kalliojärvi & Kari Lappalainen & Seppo Valkealahti, 2022. "Feasibility of Photovoltaic Module Single-Diode Model Fitting to the Current–Voltage Curves Measured in the Vicinity of the Maximum Power Point for Online Condition Monitoring Purposes," Energies, MDPI, vol. 15(23), pages 1-21, November.
    3. Bana, Sangram & Saini, R.P., 2017. "Identification of unknown parameters of a single diode photovoltaic model using particle swarm optimization with binary constraints," Renewable Energy, Elsevier, vol. 101(C), pages 1299-1310.
    4. Jianing Li & Cheng Qin & Chen Yang & Bin Ai & Yecheng Zhou, 2023. "Extraction of Single Diode Model Parameters of Solar Cells and PV Modules by Combining an Intelligent Optimization Algorithm with Simplified Explicit Equation Based on Lambert W Function," Energies, MDPI, vol. 16(14), pages 1-23, July.
    5. Piliougine, M. & Guejia-Burbano, R.A. & Petrone, G. & Sánchez-Pacheco, F.J. & Mora-López, L. & Sidrach-de-Cardona, M., 2021. "Parameters extraction of single diode model for degraded photovoltaic modules," Renewable Energy, Elsevier, vol. 164(C), pages 674-686.
    6. Toledo, F.J. & Blanes, José M. & Galiano, V. & Laudani, A., 2021. "In-depth analysis of single-diode model parameters from manufacturer’s datasheet," Renewable Energy, Elsevier, vol. 163(C), pages 1370-1384.
    7. Piliougine, Michel & Sánchez-Friera, Paula & Petrone, Giovanni & Sánchez-Pacheco, Francisco José & Spagnuolo, Giovanni & Sidrach-de-Cardona, Mariano, 2022. "New model to study the outdoor degradation of thin–film photovoltaic modules," Renewable Energy, Elsevier, vol. 193(C), pages 857-869.
    8. Tong, Nhan Thanh & Pora, Wanchalerm, 2016. "A parameter extraction technique exploiting intrinsic properties of solar cells," Applied Energy, Elsevier, vol. 176(C), pages 104-115.
    9. Louzazni, Mohamed & Al-Dahidi, Sameer, 2021. "Approximation of photovoltaic characteristics curves using Bézier Curve," Renewable Energy, Elsevier, vol. 174(C), pages 715-732.
    10. 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.
    11. 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.
    12. 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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