A Chaotic Theory Based on Customized Inertia Particle Swarm Optimization and Applications to PID Coefficient Design for the Automatic Voltage Regulator

In this paper, we present a new particle swarm optimization. When we consider the convergence region for the original PSO during some iterations, the poles of the difference equation of the PSO system are located outside the convergence region. A proposed method has a strict condition that the poles of system always does not lie outside the convergence region. To satisfy the condition, the inertia is a function of the cognitive and social coefficients. With the proposed PSO algorithm we design PID coefficients for the automatic voltage regulators. We show that the proposed algorithm has a better performance than the original PSO for the PID design of automatic voltage regulators.