Introduction In th? growing fi?ld of r?n?wabl? ?n?rgy, advanc?d mod?ling and simulation tools ar? ?ss?ntial for analyzing and optimizing th? p?rformanc? of various ?n?rgy syst?ms. On? such pow?rful tool is MATLAB, which is wid?ly us?d for syst?m mod?ling, simulations, and analysis of r?n?wabl? ?n?rgy sourc?s such as wind, solar, and hydropow?r. Th