Brent method for Economic Load Dispatch with Transmission Losses

This paper presents Brent method for solving economic dispatch problem with transmission losses. The algorithm involves selection of lambda values then the optimal lambda is evaluated from the power balance equation by Brent method. The proposed algorithm has been tested on a power system having 3, 6, 15 and 20 generating units and the simulation results were compared in terms of their solution quality, convergence characteristics and computation efficiency with the conventional lambda iterative method, genetic algorithm and particle swarm optimization. The simulation results show that the proposed method gives minimum fuel cost with less computational time.