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

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...

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Main Authors: Ziad M Ali, Martin Ćalasan, Mostafa H Mostafa, Shady H E Abdel Aleem
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2024-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0313713
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author Ziad M Ali
Martin Ćalasan
Mostafa H Mostafa
Shady H E Abdel Aleem
author_facet Ziad M Ali
Martin Ćalasan
Mostafa H Mostafa
Shady H E Abdel Aleem
author_sort Ziad M Ali
collection DOAJ
description 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.
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institution Kabale University
issn 1932-6203
language English
publishDate 2024-01-01
publisher Public Library of Science (PLoS)
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series PLoS ONE
spelling doaj-art-b84d57ad138e48e8a9c69d8a99b3c1d62024-11-19T05:31:24ZengPublic Library of Science (PLoS)PLoS ONE1932-62032024-01-011911e031371310.1371/journal.pone.0313713Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.Ziad M AliMartin ĆalasanMostafa H MostafaShady H E Abdel AleemSolar 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.https://doi.org/10.1371/journal.pone.0313713
spellingShingle Ziad M Ali
Martin Ćalasan
Mostafa H Mostafa
Shady H E Abdel Aleem
Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.
PLoS ONE
title Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.
title_full Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.
title_fullStr Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.
title_full_unstemmed Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.
title_short Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach.
title_sort analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach
url https://doi.org/10.1371/journal.pone.0313713
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