Simplified Personal Best Oriented Particle Swarm Optimizer and Its Applications

Personal best oriented particle swarm optimization (PPSO) is a promising optimizer. The present paper studies a simple form of PPSO which, instead of using three terms in the original velocity formula of PSO and PPSO, only two terms are used in determining the velocity of next step. Investigation shows that this simplified form of PPSO works well for a suite of low-dimensional benchmark functions. It is then applied to solving three different kinds of problems, nonlinear system of equations, power flow calculation and optimal power dispatch of generators. The results are matched consistently with those reported in literature.