Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches

Developing an accurate mathematical model for parameter extraction in photovoltaic modules is a crucial endeavor in optimizing photovoltaic energy systems. This study seeks to assess and compare various analytical and numerical methods for extracting the primary five parameters of photovoltaic modul...

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Main Author: Brahim Belmahdi
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-01-01
Series:Frontiers in Energy Research
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Online Access:https://www.frontiersin.org/articles/10.3389/fenrg.2025.1501335/full
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author Brahim Belmahdi
author_facet Brahim Belmahdi
author_sort Brahim Belmahdi
collection DOAJ
description Developing an accurate mathematical model for parameter extraction in photovoltaic modules is a crucial endeavor in optimizing photovoltaic energy systems. This study seeks to assess and compare various analytical and numerical methods for extracting the primary five parameters of photovoltaic modules. Specifically, six established approaches based on a single diode model (SDM) are employed, including the methods introduced by Khan et al., Blas et al., Phang et al., Vika, Cubas et al., and Almonacid et al. The performance of these approaches is evaluated and compared under standard test conditions (STC) with a focus on maximum power point current and voltage. The analytical and numerical methods demonstrate their precision in predicting photocurrent-voltage (I-V) and power-voltage (U-V) curves, with the exception of the Almonacid et al. method, which tends to underestimate the I-V curve at the module’s maximum power. Among these methods, the Phang et al. approach stands out, displaying a strong agreement between experimental data and the predicted curve. This is evidenced by the lower values of root mean square error (RMSE), mean bias error (MBE), normalized RMSE (NRMSE), mean absolute percentage error (MAPE), and absolute error (AE). These findings underscore the high quality of results obtained through the Phang et al. method.
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spelling doaj-art-5e62e3d623f04c6a93401a68129aa6262025-01-20T07:20:33ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2025-01-011310.3389/fenrg.2025.15013351501335Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approachesBrahim BelmahdiDeveloping an accurate mathematical model for parameter extraction in photovoltaic modules is a crucial endeavor in optimizing photovoltaic energy systems. This study seeks to assess and compare various analytical and numerical methods for extracting the primary five parameters of photovoltaic modules. Specifically, six established approaches based on a single diode model (SDM) are employed, including the methods introduced by Khan et al., Blas et al., Phang et al., Vika, Cubas et al., and Almonacid et al. The performance of these approaches is evaluated and compared under standard test conditions (STC) with a focus on maximum power point current and voltage. The analytical and numerical methods demonstrate their precision in predicting photocurrent-voltage (I-V) and power-voltage (U-V) curves, with the exception of the Almonacid et al. method, which tends to underestimate the I-V curve at the module’s maximum power. Among these methods, the Phang et al. approach stands out, displaying a strong agreement between experimental data and the predicted curve. This is evidenced by the lower values of root mean square error (RMSE), mean bias error (MBE), normalized RMSE (NRMSE), mean absolute percentage error (MAPE), and absolute error (AE). These findings underscore the high quality of results obtained through the Phang et al. method.https://www.frontiersin.org/articles/10.3389/fenrg.2025.1501335/fullparameter extractionphotovoltaic modulesanalytical/numerical approachessingle diode modelstandard test conditionsI–V characteristics
spellingShingle Brahim Belmahdi
Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches
Frontiers in Energy Research
parameter extraction
photovoltaic modules
analytical/numerical approaches
single diode model
standard test conditions
I–V characteristics
title Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches
title_full Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches
title_fullStr Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches
title_full_unstemmed Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches
title_short Comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches
title_sort comparative study of parameter extractions of photovoltaic modules using analytical and numerical approaches
topic parameter extraction
photovoltaic modules
analytical/numerical approaches
single diode model
standard test conditions
I–V characteristics
url https://www.frontiersin.org/articles/10.3389/fenrg.2025.1501335/full
work_keys_str_mv AT brahimbelmahdi comparativestudyofparameterextractionsofphotovoltaicmodulesusinganalyticalandnumericalapproaches