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Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach

Author

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  • Ziad M Ali
  • Martin Ćalasan
  • Mostafa H Mostafa
  • Shady H E. Abdel Aleem

Abstract

Solar photovoltaic (PV) cell modeling is crucial to understanding and optimizing solar energy systems. While the single-diode model (PVSDM) is commonly used, the double-diode model (PVDDM) offers improved accuracy at a reasonable level of complexity. However, finding analytical closed-form solutions for the current-voltage (I-U) dependency in PVDDM circuits has remained a challenge. This work proposes two novel configurations of PVDDM equivalent circuits and derives their analytical closed-form solutions. The solutions are expressed in terms of the Lambert W function and solved using a special transcendental function approach called Special Trans Function Theory (STFT). The accuracy of the proposed equivalent circuits is demonstrated on two solar cells/modules, RTC-F and MSX-60, showing equal or better performance than the standard PVDDM equivalent circuit. Further testing on a commercial solar panel under different irradiance and temperature conditions confirms the applicability of the proposed models. To address the parameter estimation problem, a novel metaheuristic algorithm, the chaotic honey-badger algorithm, is developed and evaluated. The results obtained validate the accuracy and practicality of the proposed PVDDM equivalent circuit configurations.

Suggested Citation

  • Ziad M Ali & Martin Ćalasan & Mostafa H Mostafa & Shady H E. Abdel Aleem, 2024. "Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach," PLOS ONE, Public Library of Science, vol. 19(11), pages 1-32, November.
    • Handle: RePEc:plo:pone00:0313713
    DOI: 10.1371/journal.pone.0313713
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    References listed on IDEAS

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    2. Hashim, Fatma A. & Houssein, Essam H. & Hussain, Kashif & Mabrouk, Mai S. & Al-Atabany, Walid, 2022. "Honey Badger Algorithm: New metaheuristic algorithm for solving optimization problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 84-110.
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