Particle swarm optimization algorithm for the solution of nonconvex economic dispatch problem with valve point effect

In this study, particle swarm optimization (PSO) algorithm has been used for the solution of the economic dispatch problem with valve point effect. In these kind of problems, fuel cost curve increases as sinusoidal oscillations. In the solution of the problem B loss matrix has been used for the calculation of the transmission line losses. Total fuel cost rate has been minimized under electrical constraints. PSO algorithm has been applied to three different test systems one with 6 buses 3 generators, the other with 14 buses 5 generators (IEEE) and the last one with 30 buses 6 generators (IEEE). The obtained optimum solution values have been compared with optimum solution values obtained by the application of different methods in literature and the results of them have been discussed.