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

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

PLOS ONE, 2024, vol. 19, issue 11, 1-32

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0313713

DOI: 10.1371/journal.pone.0313713

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