(1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; 2. School of Electric Power Engineering, Shanghai University of Electric Power, Shanghai 200090, China; 3. Economic Research Institute of State Grid Zhejiang Electric Power Company, Hangzhou 310008, China)

A transmission system planning method considering the uncertainty and probability distribution of wind power is proposed in this paper. The method ensure that the security requirement of system operation be satisfied under various possible probability distribution of wind power, while minimizing the investment costs. Firstly, the robust chanceconstrained optimization model is applied to the transmission system planning problem. Secondly, the Slemma and Schur complement are used to eliminate the random variables, so as to convert the probabilistic model into a deterministic model with matrix inequalities. At last, the genetic algorithm based on the linear matrix inequality optimization is used to solve the deterministic model. Simulations are performed with a real power system to verify the effectiveness of the proposed method.