Application of New Hybrid Particle Swarm Optimization and Gravitational Search Algorithm for Non Convex Economic Load Dispatch Problem

The Gravitational Search Algorithm (GSA) is a novel optimization method based on the law of gravity and mass interactions. It has good ability to search for the global optimum, but its searching speed is really slow in the last iterations. So the hybridization of Particle Swarm Optimization (PSO) and GSA can resolve the aforementioned problem. In this paper, a modified PSO, which the movement of particles is also based on getting away from individual worst solution other than going toward the best ones, is combined with GSA, named (PSOGSA) and is applied on ELD problem. A 6 unit case study considering transmission loss, prohibited zones and ramp rate limits and also a 40 unit system with valve point loading effect has been used to show the feasibility of the method. The results show fast and great convergence compared to the many other previously applied methods.