PID coefficient designs for the automatic voltage regulator using a new third order particle swarm optimization

In this paper, we present a new third order particle swarm optimization. The original PSO has position and velocity vectors. However, the proposed algorithm has three vectors: i.e. a position vector, a velocity vector and an acceleration vector. From the proposed PSO, we obtain the third order difference equation and from the equation we obtain the convergence region for four parameters. By setting four appropriate parameters near the convergence region with the proposed PSO algorithm, we design PID coefficients for the automatic voltage regulators. We show that the proposed algorithm has better performance than the original PSO for the PID design of automatic voltage regulators