Evolutionary simplex adaptive Hooke-Jeeves algorithm for economic load dispatch problem considering valve point loading effects

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Economic load dispatch problems are most important in operation and management of the electric power systems which are formulated as optimization problems. Modern deterministic and stochastic optimization techniques are efficient in solving economic load dispatch problems without any limitation because of their capability to seek the global optimal solution. Economic load dispatch problems involve linear equality constraints which are difficult to handle along with discontinuous, non-differentiable and highly non-linear objective functions. The problem becomes challenging for optimization techniques, especially for deterministic methods. This study presents a new approach based on a hybrid algorithm consisting of Genetic algorithm and modified Hooke and Jeeves method to solve the economic load dispatch problems with equality constraints. The performance of proposed Algorithm is tested on five generating systems with valve-point effects. Test results of proposed technique are quite promising and effective, with good convergence property and generation cost to produce better quality solution compared with several state-of-the-art methods.