Precise estimation of parameters is crucial for solar photovoltaic models and analysis of characteristics of associated photovoltaic systems, as the non-linear and implicit behavior of the current–voltage relationship makes this problem significantly challenging. This objective has emerged as a key area of interest for researchers. The rapid advancement of evolutionary algorithms and computer technology has resulted in the development of various metaheuristic algorithms to accelerate this trend further. This study aims to design a robust evolutionary algorithm named FDC-DE by modifying the conventional differential evolution algorithm using different search strategies to enrich the algorithm with effective explorative and exploitative search mechanisms. The FDC-DE comprises fitness-based diversified cluster division and multi-mutation learning strategies to guide the search by the representative member of the population and to provide diverse learning strategies at different stages of the search procedure. These strategies will provide reasonable balancing ability to the algorithm in accelerating convergence and avoiding issues of stagnation and premature convergence at local optimal solutions. To evaluate the proposed FDC-DE algorithm, it is tested on the 23 classical benchmark problems and the IEEE CEC2022 benchmark suite, followed by six experimental sets of single, double, and triple-diode models and three photovoltaic module models. Extensive experiments are performed, and a comparison of the FDC-DE is performed with advanced state-of-the-art metaheuristic algorithms based on accuracy comparison, statistical analysis of the results, and convergence characteristics. The results verify the outperforming search efficiency of the FDC-DE.
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