Non-dominated Sorting Disruption-based Gravitational Search Algorithm with Mutation Scheme for Multi-objective Short-Term Hydrothermal Scheduling

Abstract The short-term economical/environmental hydrothermal scheduling problem is formulated as a non-linear and non-convex constrained multi-objective optimization problem considering transmission losses and valve point loading effects. This article presents a non-dominated sorting disruption-based gravitational search algorithm with mutation to solve fixed-head and variable-head short-term economical/environmental hydrothermal scheduling problems. In this solution technique, a set of non-dominated solutions are obtained by using the concept of non-dominated sorting and an external archive. Thereafter, a fuzzy decision-making approach has been applied to achieve a suitable and the best compromising solution from the non-dominated solution set. Finally, the non-dominated sorting disruption-based gravitational search algorithm with mutation approach is demonstrated on three test systems: fixed-head two hydro and two thermal plants, two hydro and four thermal plants, and variable-head cascaded four hydro and three thermal plants. Simulation results obtained from this approach are compared with the other methods reported in the literature and it has been found that the proposed approach yields better solutions and is efficient for solving short-term economical/environmental hydrothermal scheduling problems.