IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v12y2020i24p10684-d465882.html
   My bibliography  Save this article

Mathematical Model for Regular and Irregular PV Arrays with Improved Calculation Speed

Author

Listed:
  • Luz Adriana Trejos-Grisales

    (Departamento de Electromecánica y Mecatrónica, Instituto Tecnológico Metropolitano, Medellín 050013, Colombia
    These authors contributed equally to this work.)

  • Juan David Bastidas-Rodríguez

    (Facultad de Ingeniería y Arquitectura, Universidad Nacional de Colombia, Manizales 170003, Colombia
    These authors contributed equally to this work.)

  • Carlos Andrés Ramos-Paja

    (Facultad de Minas, Universidad Nacional de Colombia, Medellín 050013, Colombia
    These authors contributed equally to this work.)

Abstract

Photovoltaic (PV) systems are usually developed by configuring the PV arrays with regular connection schemes, such as series-parallel, total cross-tied, bridge-linked, among others. Such a strategy is aimed at increasing the power that is generated by the PV system under partial shading conditions, since the power production changes depending on the connection scheme. Moreover, irregular and non-common connection schemes could provide higher power production for irregular (but realistic) shading conditions that aere caused by threes or other objects. However, there are few mathematical models that are able to predict the power production of different configurations and reproduce the behavior of both regular and irregular PV arrays. Those general array models are slow due to the large amount of computations that are needed to find the PV current for a given PV voltage. Therefore, this paper proposes a general mathematical model to predict the power production of regular and irregular PV arrays, which provides a faster calculation in comparison with the general models that were reported in the literature, but without reducing the prediction accuracy. The proposed modeling approach is based on detecting the inflection points that are caused by the bypass diodes activation, which enables to narrow the range in which the modules voltages are searched, thus reducing the calculation time. Therefore, this fast model is useful in designing the fixed connections of PV arrays that are subjected to shading conditions, in order to reconfigure the PV array in real-time, depending on the shading pattern, among other applications. The proposed solution is validated by comparing the results with another general model and with a circuital implementation of the PV system.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jsusta:v:12:y:2020:i:24:p:10684-:d:465882
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/12/24/10684/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2071-1050/12/24/10684/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Pal, Rudra Sankar & Mukherjee, V., 2020. "Metaheuristic based comparative MPPT methods for photovoltaic technology under partial shading condition," Energy, Elsevier, vol. 212(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jae-Sub Ko & Dae-Kyong Kim, 2021. "Localization of Disconnection Faults in PV Installations Using the Multiple Frequencies Injection Method," Energies, MDPI, vol. 14(21), pages 1-28, November.
    2. Jangyoul You & Myungkwan Lim & Kipyo You & Changhee Lee, 2021. "Wind Coefficient Distribution of Arranged Ground Photovoltaic Panels," Sustainability, MDPI, vol. 13(7), pages 1-19, April.
    3. 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.
    4. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Celikel, Resat & Yilmaz, Musa & Gundogdu, Ahmet, 2022. "A voltage scanning-based MPPT method for PV power systems under complex partial shading conditions," Renewable Energy, Elsevier, vol. 184(C), pages 361-373.
    2. Hou, Guolian & Ke, Yin & Huang, Congzhi, 2021. "A flexible constant power generation scheme for photovoltaic system by error-based active disturbance rejection control and perturb & observe," Energy, Elsevier, vol. 237(C).
    3. Mirza, Adeel Feroz & Mansoor, Majad & Zhan, Keyu & Ling, Qiang, 2021. "High-efficiency swarm intelligent maximum power point tracking control techniques for varying temperature and irradiance," Energy, Elsevier, vol. 228(C).
    4. Elkin Edilberto Henao-Bravo & Carlos Andrés Ramos-Paja & Andrés Julián Saavedra-Montes & Daniel González-Montoya & Julián Sierra-Pérez, 2020. "Design Method of Dual Active Bridge Converters for Photovoltaic Systems with High Voltage Gain," Energies, MDPI, vol. 13(7), pages 1-31, April.
    5. Habib Kraiem & Ezzeddine Touti & Abdulaziz Alanazi & Ahmed M. Agwa & Tarek I. Alanazi & Mohamed Jamli & Lassaad Sbita, 2023. "Parameters Identification of Photovoltaic Cell and Module Models Using Modified Social Group Optimization Algorithm," Sustainability, MDPI, vol. 15(13), pages 1-20, July.
    6. 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.
    7. 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.
    8. Edwidge Raissa Mache Kengne & Alain Soup Tewa Kammogne & Thomas Tatietse Tamo & Ahmad Taher Azar & Ahmed Redha Mahlous & Saim Ahmed, 2023. "Photovoltaic Systems Based on Average Current Mode Control: Dynamical Analysis and Chaos Suppression by Using a Non-Adaptive Feedback Outer Loop Controller," Sustainability, MDPI, vol. 15(10), pages 1-24, May.
    9. Belqasem Aljafari & Rupendra Kumar Pachauri & Sudhakar Babu Thanikanti & Bamidele Victor Ayodele, 2023. "Innovative Methodologies for Higher Global MPP of Photovoltaic Arrays under PSCs: Experimental Validation," Sustainability, MDPI, vol. 15(15), pages 1-28, August.
    10. Sy Ngo & Chian-Song Chiu & Thanh-Dong Ngo, 2022. "A Novel Horse Racing Algorithm Based MPPT Control for Standalone PV Power Systems," Energies, MDPI, vol. 15(20), pages 1-18, October.
    11. Gao, Fang & Hu, Rongzhao & Yin, Linfei, 2023. "Variable boundary reinforcement learning for maximum power point tracking of photovoltaic grid-connected systems," Energy, Elsevier, vol. 264(C).
    12. Tarek A. Boghdady & Yasmin E. Kotb & Abdullah Aljumah & Mahmoud M. Sayed, 2022. "Comparative Study of Optimal PV Array Configurations and MPPT under Partial Shading with Fast Dynamical Change of Hybrid Load," Sustainability, MDPI, vol. 14(5), pages 1-17, March.
    13. 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.
    14. Khaled Osmani & Ahmad Haddad & Mohammad Alkhedher & Thierry Lemenand & Bruno Castanier & Mohamad Ramadan, 2023. "A Novel MPPT-Based Lithium-Ion Battery Solar Charger for Operation under Fluctuating Irradiance Conditions," Sustainability, MDPI, vol. 15(12), pages 1-31, June.
    15. 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.
    16. Pallavi Bharadwaj & Vinod John, 2021. "High-Power Closed-Loop SMPC-Based Photovoltaic System Characterization under Varying Ambient Conditions," Energies, MDPI, vol. 14(17), pages 1-19, August.
    17. Liu, Xiangjie & Zhu, Zheng & Kong, Xiaobing & Ma, Lele & Lee, Kwang Y., 2023. "An economic model predictive control-based flexible power point tracking strategy for photovoltaic power generation," Energy, Elsevier, vol. 283(C).
    18. Manoharan Premkumar & Umashankar Subramaniam & Hassan Haes Alhelou & Pierluigi Siano, 2020. "Design and Development of Non-Isolated Modified SEPIC DC-DC Converter Topology for High-Step-Up Applications: Investigation and Hardware Implementation," Energies, MDPI, vol. 13(15), pages 1-27, August.
    19. Xiaofei Li & Zhao Wang & Yinnan Liu & Haifeng Wang & Liusheng Pei & An Wu & Shuang Sun & Yongjun Lian & Honglu Zhu, 2023. "A Novel Operating State Evaluation Method for Photovoltaic Strings Based on TOPSIS and Its Application," Sustainability, MDPI, vol. 15(9), pages 1-16, April.
    20. Ali M. Eltamaly & Zeyad A. Almutairi & Mohamed A. Abdelhamid, 2023. "Modern Optimization Algorithm for Improved Performance of Maximum Power Point Tracker of Partially Shaded PV Systems," Energies, MDPI, vol. 16(13), pages 1-22, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:12:y:2020:i:24:p:10684-:d:465882. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.