Design and Analysis of FOPID-Based Damping Controllers Using a Modified Grey Wolf Optimization Algorithm

This study proposes a novel modified grey-wolf optimization algorithm (MGWOA) to enhance power system stability. The stabilizer and static synchronous series compensator (SSSC) are used as damping controllers. Additionally, fractional-order PID (FOPID) controller is handle the nonlinearities thus achieve better performance. control parameters tuned using proposed MGWOA method which has been verified on unimodal multimodal functions. Single-machine infinite bus (SMIB) multimachine (MMPS) taken case studies analyze efficacy of controller. Minimization rotor speed deviation considered an objective function. results obtained from MGWOA-tuned FOPID-based controllers compared with those recently developed efficient competitive heuristic algorithms. It was observed that well-suited for low-frequency oscillations. Furthermore, statistical analysis performed justify superiority method. simulation suggest exhibits superior performance characteristics when applied real system.