When controlling the stability of the power system, a suitable oscillation damping is a forthcoming major demand. Usually, this oscillation takes place owing to the variation established, while two systems are interlinked. Moreover, this work focuses on the oscillation resulted in the power system as the primary demand that hence acts as valid experimentation in the 68-bus system. Here, it develops a satisfactory CC with two FACTS devices like Unified power flow controller (UPFC) and Thyristor Controlled Series Capacitors (TCSC) that are associated with Power System Stabilizer (PSS). Significantly, it uses the Hybrid OBL-GOA approach to set up the CC between the FACTS devices. To the later of the experimentation, this work evaluates the performance of the proposed model with existing optimizations such as Gravitational Search Algorithm (GSA), Artificial Bee Colony (ABC), Particle Swarm Optimization (PSO), and Genetic Algorithm (GA), approach to set up the CC. Significantly, it requires a comprehensive study on the effect of loading aspects and PSS in CC. Consequently, the Hybrid Opposition Based Learning (OBL)-Grasshopper Optimization Algorithm (GOA)-CC performance controls against the stable power system with dynamic oscillations damping, subsequent to the evaluation of the proposed model over the conventional approaches.