Design of an Optimal PI Controller for Time-Delayed Two-Area LFC-VID System

Abstract

Growing deployment of renewable energy sources (RES) may lead to oscillations in the system frequency caused by reduced inertia, while communication networks generate time delays that might jeopardize system dynamic performance and induce additional frequency fluctuations. This paper presents the optimization of Proportional Integral (PI) controller gains in a time-delayed two-area load frequency control (LFC) system with virtual inertia and damping (VID). Optimization techniques such as Crow Search Algorithm (CSA), Particle Swarm Optimization (PSO), Vortex Search Algorithm (VSA), and Sine-Cosine Algorithm (SCA) are used to optimize the PI controller gains to obtain best frequency performance of the system. In all algorithms, the integral square error (ISE) objective function is employed during the optimization process. Results are confirmed via time-domain simulations in Matlab/Simulink.