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Optimal capacitor placement in a distribution network with wind generators by improved hybrid particle swarm optimization method

In this paper, an efficient method is proposed to calculate the capacitor placement in a distribution network with wind generators. The target is to find optimal locations and sizes of both fixed and switchable capacitors to minimize the overall cost. First, the formulation is presented based on the control vector model comprising of sizes of capacitors and reactive power outputs of wind generators. Meanwhile, the necessary constraints are considered. Then, the primary single-layer hybrid particle swarm optimization strategy is proposed to solve the mathematical formation. Further, fuzzy adaptive inference (FAI) is used to improve the primary PSO method to avoid being trapped in local optima. Finally, the proposed capacitor placement method is applied to the modified version of PG&E 69-node distribution network. Simulation results show that the proposed capacitor placement method has better performance than the typical GA.