Chaotic Search-Based Salp Swarm Algorithm for Dealing with System of Nonlinear Equations and Power System Applications

The system of nonlinear equations (SNLEs) is one the eminent problems in science and engineering, it still open to research. A new hybrid intelligent algorithm presented this research solve SNLEs. It a composite salp swarm (SSA) chaotic search technique (CST). proposed methodology named (CSSA). CSSA designed as an optimization process, whereby feasible infeasible solutions are updated move closer optimum value. use aims improve performance, increase solution versatility, avoid local optima trap, speed up convergence optimize process. Firstly, SNLEs transformed into problem. Secondly, used problem: SSA update solutions, whereas by CST. One most significant advantages suggested that does not ignore updated, because these often extremely near optimal solution, resulting increased effectiveness effective exploration exploitation. algorithm’s mathematical model detail. Finally, approach assessed with several benchmark real-world applications. Simulation results show competitive better comparison others, which illustrates algorithm. In addition, statistical analysis Wilcoxon rankings test between other methods shows all p-values less than 0.05, achieves negative ranks’ sum values (R−) much positive (R+) problems. have high precision good agreement similar methods, they further proved ability