To gain improvement in both available transmission capacity (ATC) and voltage stability, a flexible AC transmission system (FACTS) multi-objective optimization allocation method considering wind power and load randomness is proposed. First, based on the combination of Latin hypercube, k-means clustering and Monte Carlo sampling, a method for generating system scenarios is proposed. Then, a thyristor-controlled series capacitor (TCSC) multi-objective optimal allocation model with ATC and voltage stability L indicator as objective functions is established. Finally, the multi-objective particle swarm algorithm (MOPSO) is improved by adding chaos initialization and variable inertia weight setting to analyze the model. Based on a modified IEEE30 node system, the non-inferior solutions and fuzzy optimal solutions before and after TCSC allocation of the system scenario with the greatest occurrence probability are compared. The optimization results before and after TCSC allocation of the extreme system scenario are analyzed. The simulation results show that the proposed scenario processing method, the multi-objective optimization model and the improved algorithm are effective in solving related problems.

This work is supported by the National Natural Science Foundation of China (No. 52007103).