Wide-area optimal damping control for power systems based on the ITAE criterion

Wide-area damping control is one of the most used methods for improving stability in power systems. However, this type of control requires suitably tuning the main controller and wide-area controller under dependency and constrains. In this paper, we propose a method for wide-area optimal damping control based on the integral of the time-weighted absolute error (ITAE) to mitigate low-frequency oscillations in the interconnected power grid. First, we perform the modal analysis of the open-loop system to determine the weak damping-interval oscillation mode. Then, based on the geometric observability and controllability indices, we derive the wide-area optimal closed-loop control. Finally, we formulate an objective function using the ITAE and employ the bird swarm algorithm to optimize the structurally constrained controller parameters for the coordination control. Simulation results demonstrate that the proposed control strategy has a highly accurate dynamic response and effectively suppresses inter-area oscillations in the interconnected power systems.