The Comparison of Root Finding Techniques with MPSO and GA to Solve the ED Problems

This paper presents the application of numerical methods for solving Economic Dispatch (ED) problem with generator constraints and transmission losses. The proposed algorithm involves the selection of minimum and maximum incremental fuel costs (lambda values) and then, the evaluation of optimal lambda is done by root finding techniques at required power demand. This algorithm has been tested on a system having 6, 15, 26 and 3 generating units with nonsmooth cost function and valve point effect. Simulation results were compared in terms of solution quality, convergence characteristics and computation efficiency with conventional methods such as lambda iterative method, heuristic methods such as genetic algorithm and meta-heuristic methods such as MPSO. For more comprising, ED problem has been implemented with matlab optimization toolbox and power system toolbox.

Keywords:

Economic Dispatch (ED) , Nonsmooth Optimization , Root Finding Techniques , Modofied Particle Swarm Optimization (PSO)