This research introduces a novel approach for the coordination of advanced Power Oscillation Damping Controllers (PODC) and series compensators, including Thyristor-Controlled Series Capacitor (TCSC) and Static Synchronous Series Compensator (SSSC), along with hybrid configurations (TCSC-PODC/SSSC-PODC), to tackle the challenges of maximizing damping effects, tuning controller parameters, and mitigating system uncertainties in Wind Farm (WF)-based power systems. The proposed method leverages a Genetic Algorithm (GA) to optimize the coordinated tuning of these controllers, aiming to enhance damping characteristics and effectively suppress oscillations. The objective function is considered as rotor speed deviation. Compared to existing methods, which typically focus on standalone controller configurations, this work demonstrates superior performance by minimizing adverse interactions between controllers, reducing oscillation amplitudes, and improving the overall stability of interconnected systems under extreme disturbances, offering valuable insights into their impact on critical system parameters. The coordinated control strategy is tested on the IEEE 11-bus modified test system in MATLAB/Simulink, improving damping, settling time, and rotor stability under extreme disturbances. Future research includes extending it to larger grids, integrating AI-based control, and applying it to multi-energy systems for enhanced renewable integration.