Abstract

Abstract This paper presents an enhanced firefly algorithm for solving multi-objective optimal active and reactive power dispatch problems with load and wind generation uncertainties. The optimal dispatches of active and reactive power were considered simultaneously. In reactive power dispatch, the load tap changer positions of transformers, the reactive power injection of capacitors, and the voltages of slack bus and PV buses are controlled to reduce the transmission line losses and the voltage deviations of load buses. In active power dispatch, economic dispatch including losses is used to obtain the active power outputs of thermal generating units and to decrease the fuel costs. The proposed algorithm was based on a firefly algorithm, the formula and parameters of which were updated and modified, and a mutation strategy and local random search were used to enhance the exploration and search capabilities of the algorithm. The IEEE 30-bus system was used to demonstrate the effectiveness of the proposed method for solving multi-objective optimal active and reactive power dispatch problems while considering uncertainties. The results of the proposed method were compared with the results of other algorithms. The results showed that the proposed method achieved a more favorable solution than the other algorithms.

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