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A technique for mismatched PV array simulation

Author

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  • Orozco-Gutierrez, M.L.
  • Ramirez-Scarpetta, J.M.
  • Spagnuolo, G.
  • Ramos-Paja, C.A.

Abstract

In this paper a computationally efficient approach to the modeling of a photovoltaic array is presented. It is especially suited for simulating mismatched operating conditions, in which the different modules of the array work at different irradiation levels and temperatures. The model used allows to keep into account parametric tolerances and drifts among the modules. The proposed technique is based on the use of the Lambert W-function, which allows to obtain an explicit relationship between the voltage and the current of any photovoltaic module. The non linear system of equations describing the photovoltaic array is easily solved thanks to the explicit symbolic calculation of the inverse of the Jacobian matrix. The performances of the proposed numerical approach are discussed especially in cases where a deep mismatch affects the photovoltaic array.

Suggested Citation

  • Orozco-Gutierrez, M.L. & Ramirez-Scarpetta, J.M. & Spagnuolo, G. & Ramos-Paja, C.A., 2013. "A technique for mismatched PV array simulation," Renewable Energy, Elsevier, vol. 55(C), pages 417-427.
    • Handle: RePEc:eee:renene:v:55:y:2013:i:c:p:417-427
    DOI: 10.1016/j.renene.2013.01.009
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    References listed on IDEAS

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    1. Alonso-García, M.C. & Ruiz, J.M. & Herrmann, W., 2006. "Computer simulation of shading effects in photovoltaic arrays," Renewable Energy, Elsevier, vol. 31(12), pages 1986-1993.
    2. Zogou, Olympia & Stapountzis, Herricos, 2011. "Experimental validation of an improved concept of building integrated photovoltaic panels," Renewable Energy, Elsevier, vol. 36(12), pages 3488-3498.
    3. Polyak, B.T., 2007. "Newton's method and its use in optimization," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1086-1096, September.
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    1. Ryan M. Smith & Manjunath Matam & Hubert Seigneur, 2023. "Simulated Impact of Shortened Strings in Commercial and Utility-Scale Photovoltaic Arrays," Energies, MDPI, vol. 16(21), pages 1-15, October.
    2. Liu, Yi-Hua & Chen, Jing-Hsiao & Huang, Jia-Wei, 2015. "A review of maximum power point tracking techniques for use in partially shaded conditions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 436-453.
    3. Orozco-Gutierrez, M.L. & Spagnuolo, G. & Ramos-Paja, C.A. & Ramirez-Scarpetta, J.M & Ospina-Agudelo, B., 2019. "Enhanced simulation of total cross tied photovoltaic arrays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 158(C), pages 49-64.
    4. Ahmad, R. & Murtaza, Ali F. & Ahmed Sher, Hadeed & Tabrez Shami, Umar & Olalekan, Saheed, 2017. "An analytical approach to study partial shading effects on PV array supported by literature," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 721-732.
    5. Luis Miguel Pérez Archila & Juan David Bastidas-Rodríguez & Rodrigo Correa & Luz Adriana Trejos Grisales & Daniel Gonzalez-Montoya, 2020. "A Solution of Implicit Model of Series-Parallel Photovoltaic Arrays by Using Deterministic and Metaheuristic Global Optimization Algorithms," Energies, MDPI, vol. 13(4), pages 1-22, February.
    6. Abdulhamid Atia & Fatih Anayi & Min Gao, 2022. "Influence of Shading on Solar Cell Parameters and Modelling Accuracy Improvement of PV Modules with Reverse Biased Solar Cells," Energies, MDPI, vol. 15(23), pages 1-19, November.
    7. Jena, Debashisha & Ramana, Vanjari Venkata, 2015. "Modeling of photovoltaic system for uniform and non-uniform irradiance: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 400-417.
    8. Guarino, Antonio & Monmasson, Éric & Spagnuolo, Giovanni, 2021. "SoC-based embedded real-time simulation of mismatched photovoltaic strings," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 184(C), pages 267-281.
    9. Bouabdallah, A. & Olivier, J.C. & Bourguet, S. & Machmoum, M. & Schaeffer, E., 2015. "Safe sizing methodology applied to a standalone photovoltaic system," Renewable Energy, Elsevier, vol. 80(C), pages 266-274.
    10. Juan David Bastidas-Rodriguez & Carlos Andres Ramos-Paja & Andres Julian Saavedra-Montes, 2023. "Implicit Mathematical Model of Photovoltaic Arrays with Improved Calculation Speed Based on Inflection Points of the Current–Voltage Curves," Energies, MDPI, vol. 16(13), pages 1-29, June.
    11. Jeisson Vélez-Sánchez & Juan David Bastidas-Rodríguez & Carlos Andrés Ramos-Paja & Daniel González Montoya & Luz Adriana Trejos-Grisales, 2019. "A Non-Invasive Procedure for Estimating the Exponential Model Parameters of Bypass Diodes in Photovoltaic Modules," Energies, MDPI, vol. 12(2), pages 1-20, January.
    12. Orozco-Gutierrez, M.L. & Ramirez-Scarpetta, J.M. & Spagnuolo, G. & Ramos-Paja, C.A., 2014. "A method for simulating large PV arrays that include reverse biased cells," Applied Energy, Elsevier, vol. 123(C), pages 157-167.

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