American Journal of Electrical Power and Energy Systems

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Reconfiguration of Solar Panels: Mathematical Model and Analysis

Received: 02 August 2019    Accepted: 02 September 2019    Published: 17 September 2019
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Abstract

Balance solar radiation between photovoltaic panels or between groups of photovoltaic panels will help to improve the efficiency of electricity generation of the entire solar power system, making the most of the solar energy converted into electricity power. In order to achieve this, it is necessary to reconfigure the connection of photovoltaic panels or groups of photovoltaic panels in the solar power system. In this paper, the general mathematical model for implementing resconfiguring of photovoltaic panels or groups of photovoltaic panels is presented in 2 parts: calculating to find out the optimal configuration connecting photovoltaic panels or groups of photovoltaic panels to achieve the highest performance of the solar system; and find out the best way to switch from the initial connection configuration state to the optimal configuration. The author focuses on analyzing and proposing mathematical models for two main problems in previous studies, developing objective functions and clear constraints, which are the rationale for evaluation of the quality and accuracy of the proposed algorithms, thereby developing more optimal algorithms than previous algorithms. Several experimental studies have been applied on a system of 4 solar panels. The archived results demonstrated the correctness and efficiency of the proposed mathematical model and optimal algorithm.

DOI 10.11648/j.epes.20190805.11
Published in American Journal of Electrical Power and Energy Systems (Volume 8, Issue 5, September 2019)
Page(s) 104-110
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Optimal, Reconfiguration, Mathematical Model, Solar Power System

References
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[4] Balaji Veerasamy, Wataru Kitagawa, Takaharu Takeshita, MPPT method for PV modules using current control-based partial shading detection, in 2014 International Conference on Renewable Energy Research and Application (ICRERA). 2014.
[5] Merwan Saadsaoud, Abbassi Hadj AHmed, Kermiche Salah, Study of Partial Shading Effects on Photovoltaic Arrays with Comprehensive Simulator for Global MPPT control. International Journal of Renewable Energy Research-IJRER, 2016. 6 (2).
[6] Subhashree Choudhury, Pravat Kumar Rout, Adaptive Fuzzy Logic based MPPT Control for PV System Under Partial Shading Condition. International Journal of Renewable Energy Research-IJRER, 2015. 5 (4).
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[8] F. Reis, C. Guerreiro, F. Batista, T. Pimentel, M. Pravettoni, J. Wemans, G. Sorasio, M. C. Brito, Modeling the Effects of Inhomogeneous Irradiation and Temperature Profile on CPV Solar Cell Behavior. IEEE Journal of Photovoltaics, 2015. 5 (1): p. 112-122.
[9] Joseph J. Wysocki, Paul Rappaport, Effect of Temperature on Photovoltaic Solar Energy Conversion. Journal of Applied Physics, 2004. 31 (571).
[10] Priyanka Singh, S. N. Singh, M. Lal, M. Husain, Temperature dependence of I–V characteristics and performance parameters of silicon solar cell. Solar Energy Materials and Solar Cells, 2008. 92 (12): p. 1611-1616.
[11] Eleonora Riva Sanseverino, Ngo Ngoc Thanh, Marzia Cardinale, Vincenzo Li Vigni, Domenico Musso, Pietro Romano, Fabio Viola, Dynamic programming and Munkres algorithm for Optimal Photovoltaic Arrays Reconfiguration. Solar Energy, 12/2015. 122: p. Pages 347–358.
[12] Ngo Ngoc Thanh, Nguyen Phung Quang, Pham Thuong Cat, Improved control algorithm for increase efficiency of photovoltaic system under non-homogeneous solar irradiance. Special issue control and automation, 2016. 16: p. 12.
[13] Thanh Ngo Ngoc, Quang Nguyen Phung, Linh Nguyen Tung, Eleonora Riva Sanseverino, Pietro Romano, Fabio Viola, Increasing efficiency of photovoltaic systems under non-homogeneous solar irradiation using improved Dynamic Programming methods. Solar Energy, 2017. 150: p. 325-334.
[14] Ngo Ngoc Thanh, Nguyen Phung Quang, Simulation of reconfiguration system using Matlab-Simulink environment. Journal of Computer Science and Cybernetics, 2018. Accepted.
[15] Damiano La Manna, Vincenzo Li Vigni, Eleonora Riva Sanseverino, Vincenzo Di Dio, Pietro Romano, Reconfigurable electrical interconnection strategies for photovoltaic arrays: A review. Renewable and Sustainable Energy Reviews, 2014.
[16] P. Romano, R. Candela, M. Cardinale, V. Li Vigni, D. Musso, E. Riva Sanseverino, Optimization of photovoltaic energy production through an efficient switching matrix. Journal of Sustainable Development of Energy, Water and Environment Systems, 2013. 1 (3): p. 227-236.
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Author Information
  • Faculty of Information Technology, Electric Power University, Hanoi, Vietnam

  • Center for Research and Development on Renewable Energy Technology, Institute of Energy Science, IES-VAST, Hanoi, Vietnam

  • National Load Dispatch Centre, Vietnam Electricity, Hanoi, Vietnam

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  • APA Style

    Thanh Ngo Ngoc, Ninh Nguyen Quang, Linh Bui Duy. (2019). Reconfiguration of Solar Panels: Mathematical Model and Analysis. American Journal of Electrical Power and Energy Systems, 8(5), 104-110. https://doi.org/10.11648/j.epes.20190805.11

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    ACS Style

    Thanh Ngo Ngoc; Ninh Nguyen Quang; Linh Bui Duy. Reconfiguration of Solar Panels: Mathematical Model and Analysis. Am. J. Electr. Power Energy Syst. 2019, 8(5), 104-110. doi: 10.11648/j.epes.20190805.11

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    AMA Style

    Thanh Ngo Ngoc, Ninh Nguyen Quang, Linh Bui Duy. Reconfiguration of Solar Panels: Mathematical Model and Analysis. Am J Electr Power Energy Syst. 2019;8(5):104-110. doi: 10.11648/j.epes.20190805.11

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  • @article{10.11648/j.epes.20190805.11,
      author = {Thanh Ngo Ngoc and Ninh Nguyen Quang and Linh Bui Duy},
      title = {Reconfiguration of Solar Panels: Mathematical Model and Analysis},
      journal = {American Journal of Electrical Power and Energy Systems},
      volume = {8},
      number = {5},
      pages = {104-110},
      doi = {10.11648/j.epes.20190805.11},
      url = {https://doi.org/10.11648/j.epes.20190805.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.epes.20190805.11},
      abstract = {Balance solar radiation between photovoltaic panels or between groups of photovoltaic panels will help to improve the efficiency of electricity generation of the entire solar power system, making the most of the solar energy converted into electricity power. In order to achieve this, it is necessary to reconfigure the connection of photovoltaic panels or groups of photovoltaic panels in the solar power system. In this paper, the general mathematical model for implementing resconfiguring of photovoltaic panels or groups of photovoltaic panels is presented in 2 parts: calculating to find out the optimal configuration connecting photovoltaic panels or groups of photovoltaic panels to achieve the highest performance of the solar system; and find out the best way to switch from the initial connection configuration state to the optimal configuration. The author focuses on analyzing and proposing mathematical models for two main problems in previous studies, developing objective functions and clear constraints, which are the rationale for evaluation of the quality and accuracy of the proposed algorithms, thereby developing more optimal algorithms than previous algorithms. Several experimental studies have been applied on a system of 4 solar panels. The archived results demonstrated the correctness and efficiency of the proposed mathematical model and optimal algorithm.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Reconfiguration of Solar Panels: Mathematical Model and Analysis
    AU  - Thanh Ngo Ngoc
    AU  - Ninh Nguyen Quang
    AU  - Linh Bui Duy
    Y1  - 2019/09/17
    PY  - 2019
    N1  - https://doi.org/10.11648/j.epes.20190805.11
    DO  - 10.11648/j.epes.20190805.11
    T2  - American Journal of Electrical Power and Energy Systems
    JF  - American Journal of Electrical Power and Energy Systems
    JO  - American Journal of Electrical Power and Energy Systems
    SP  - 104
    EP  - 110
    PB  - Science Publishing Group
    SN  - 2326-9200
    UR  - https://doi.org/10.11648/j.epes.20190805.11
    AB  - Balance solar radiation between photovoltaic panels or between groups of photovoltaic panels will help to improve the efficiency of electricity generation of the entire solar power system, making the most of the solar energy converted into electricity power. In order to achieve this, it is necessary to reconfigure the connection of photovoltaic panels or groups of photovoltaic panels in the solar power system. In this paper, the general mathematical model for implementing resconfiguring of photovoltaic panels or groups of photovoltaic panels is presented in 2 parts: calculating to find out the optimal configuration connecting photovoltaic panels or groups of photovoltaic panels to achieve the highest performance of the solar system; and find out the best way to switch from the initial connection configuration state to the optimal configuration. The author focuses on analyzing and proposing mathematical models for two main problems in previous studies, developing objective functions and clear constraints, which are the rationale for evaluation of the quality and accuracy of the proposed algorithms, thereby developing more optimal algorithms than previous algorithms. Several experimental studies have been applied on a system of 4 solar panels. The archived results demonstrated the correctness and efficiency of the proposed mathematical model and optimal algorithm.
    VL  - 8
    IS  - 5
    ER  - 

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