Abstract

The increase in industrial and commercial applications of photovoltaic systems (PV) has a significant impact on the increase in interest in studying the improvement of the efficiency of these systems. Estimating the efficiency of PV is considered one of the most important problems facing those in charge of manufacturing these systems, which makes it interesting to many researchers. The difficulty in estimating the efficiency of PV is due to the high non-linear current–voltage characteristics and power–voltage characteristics. In addition, the absence of ample efficiency information in the manufacturers’ datasheets has led to the development of an effective electrical mathematical equivalent model necessary to simulate the PV module. In this paper, an application for an optimization algorithm named Wild Horse Optimizer (WHO) is proposed to extract the parameters of a double-diode PV model (DDM), modified double-diode PV model (MDDM), triple-diode PV model (TDM), and modified triple-diode PV model (MTDM). This study focuses on two main objectives. The first concerns comparing the original models (DDM and TDM) and their modification (MDDM and MTDM). The second concerns the algorithm behavior with the optimization problem and comparing this behavior with other recent algorithms. The evaluation process uses different methods, such as Root Mean Square Error (RMSE) for accuracy and statistical analysis for robustness. Based on the results obtained by the WHO, the estimated parameters using the WHO are more accurate than those obtained by the other studied optimization algorithms; furthermore, the MDDM and MTDM modifications enhanced the original DDM and TDM efficiencies.

Highlights

  • The excessive use of non-renewable energy sources such as fossil fuels is of increasing global concern

  • The best obtained Root Mean Square Error (RMSE) value was for modified triple-diode PV model (MTDM) followed by modified double-diode PV model (MDDM), and this presents the enhancement of model accuracy by the model modification

  • The stability of the Wild Horse Optimizer (WHO) was tested by running the algorithm for 30 independent runs for MTDM and MDDM, obtaining the statistical analysis, comparing these results with Bald Eagle Search (BES) [18] and Elephant Herd Optimization (EHO) [19], as shown in Tables 3 and 4, and boxplot Figures 10 and 11

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Summary

Introduction

The excessive use of non-renewable energy sources such as fossil fuels is of increasing global concern. TDM needs computational power to calculate nine different parameters [14,15,16,17] Some modifications for these models are proposed in the literature by adding a series resistance with one diode to represent the quasi-neutral region losses. This modification has been applied to the three models, so were named modified SDM (MSDM), modified DDM (MDDM), and modified TDM (MTDM) [18,19,20]. The rest of this paper is arranged as follows: the equivalent circuits for DDM, MDDM, TDM and MTDM are discussed

DDM and MDDM
TDM and MTDM
Results and Discussion
Conclusions
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