Effect of Modulation Index of Nonlinearly Decreasing Inertia Weight on the Performance of PSO Algorithm for Solving ELD Problems

The adoption of an efficient approach for tuning inertia weight is one of the most effective methods of improving the performance of particle swarm optimization (PSO). Recently, the introduction of the modulation index in the nonlinearly decreasing inertia weight enhances the convergence characteristics of PSO. Economic load dispatch (ELD) is a famous optimization problem, and it is effectively solved by PSO with certain advantages. In this paper, influences of modulation index on PSO have been presented for ELD problem of IEEE 5, 14, and 30 bus systems. The minimum, maximum, average, and standard deviation of generation cost, average power loss, average iteration, and average computational time of 20 trial runs for ten different values of modulation index are computed using MATLAB program. The simulation results conclude that the value of modulation index 0.8, 0.4, and 1.8 provides high-quality solutions for IEEE 5, 14, and 30 bus systems, respectively.