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A Procedure for Modeling Photovoltaic Arrays under Any Configuration and Shading Conditions

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  • Daniel Gonzalez Montoya

    (Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano, Medellin 050013, Colombia)

  • Juan David Bastidas-Rodriguez

    (Escuela de Ingenierías Eléctrica, Electrónica y de Telecomunicaciones, Universidad Industrial de Santander, Bucaramanga 680002, Colombia)

  • Luz Adriana Trejos-Grisales

    (Departamento de Electromecánica y Mecatrónica, Instituto Tecnológico Metropolitano, Medellin 050013, Colombia)

  • Carlos Andres Ramos-Paja

    (Departamento de Energía Eléctrica y Automática, Universidad Nacional de Colombia, Medellin 050041, Colombia)

  • Giovanni Petrone

    (Department of Information and Electrical Eng. and Applied Mathematics, University of Salerno, 84084 Fisciano, Italy)

  • Giovanni Spagnuolo

    (Department of Information and Electrical Eng. and Applied Mathematics, University of Salerno, 84084 Fisciano, Italy)

Abstract

Photovoltaic (PV) arrays can be connected following regular or irregular connection patterns to form regular configurations (e.g., series-parallel, total cross-tied, bridge-linked, etc.) or irregular configurations, respectively. Several reported works propose models for a single configuration; hence, making the evaluation of arrays with different configuration is a considerable time-consuming task. Moreover, if the PV array adopts an irregular configuration, the classical models cannot be used for its analysis. This paper proposes a modeling procedure for PV arrays connected in any configuration and operating under uniform or partial shading conditions. The procedure divides the array into smaller arrays, named sub-arrays, which can be independently solved. The modeling procedure selects the mesh current solution or the node voltage solution depending on the topology of each sub-array. Therefore, the proposed approach analyzes the PV array using the least number of nonlinear equations. The proposed solution is validated through simulation and experimental results, which demonstrate the proposed model capacity to reproduce the electrical behavior of PV arrays connected in any configuration.

Suggested Citation

  • Daniel Gonzalez Montoya & Juan David Bastidas-Rodriguez & Luz Adriana Trejos-Grisales & Carlos Andres Ramos-Paja & Giovanni Petrone & Giovanni Spagnuolo, 2018. "A Procedure for Modeling Photovoltaic Arrays under Any Configuration and Shading Conditions," Energies, MDPI, vol. 11(4), pages 1-17, March.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:4:p:767-:d:138441
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    References listed on IDEAS

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    1. Sai Krishna, G. & Moger, Tukaram, 2019. "Improved SuDoKu reconfiguration technique for total-cross-tied PV array to enhance maximum power under partial shading conditions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 109(C), pages 333-348.
    2. Mariana Durango-Flórez & Daniel González-Montoya & Luz Adriana Trejos-Grisales & Carlos Andres Ramos-Paja, 2022. "PV Array Reconfiguration Based on Genetic Algorithm for Maximum Power Extraction and Energy Impact Analysis," Sustainability, MDPI, vol. 14(7), pages 1-14, March.
    3. Juan-Pablo Villegas-Ceballos & Mateo Rico-Garcia & Carlos Andres Ramos-Paja, 2022. "Dataset for Detecting the Electrical Behavior of Photovoltaic Panels from RGB Images," Data, MDPI, vol. 7(6), pages 1-12, June.
    4. Luz Adriana Trejos-Grisales & Juan David Bastidas-Rodríguez & Carlos Andrés Ramos-Paja, 2020. "Mathematical Model for Regular and Irregular PV Arrays with Improved Calculation Speed," Sustainability, MDPI, vol. 12(24), pages 1-28, December.
    5. Manoharan Premkumar & Umashankar Subramaniam & Thanikanti Sudhakar Babu & Rajvikram Madurai Elavarasan & Lucian Mihet-Popa, 2020. "Evaluation of Mathematical Model to Characterize the Performance of Conventional and Hybrid PV Array Topologies under Static and Dynamic Shading Patterns," Energies, MDPI, vol. 13(12), pages 1-37, June.
    6. Ahmed Al Mansur & Md. Ruhul Amin & Kazi Khairul Islam, 2019. "Performance Comparison of Mismatch Power Loss Minimization Techniques in Series-Parallel PV Array Configurations," Energies, MDPI, vol. 12(5), pages 1-21, March.
    7. 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.

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