Secant method with PSO for economic dispatch with valve point loading

This paper describes secant method with particle swarm optimization (PSO) for solving the economic dispatch (ED) problem with valve point loading. The ED problem is solved in two stages. The range of output powers near the global optimal solution is determined by the secant method and then the final optimal solution is obtained by PSO. The proposed algorithm has been tested on 3-, 13- and 40-units. Simulation results of the proposed approach are compared with existing algorithms. From the different case studies, it is observed that the proposed approach provides qualitative solution with less computational time compared to various methods available in the literature.