Abstract: Benders decomposition technique shows optimistic application potential in solving the problem of total supplying capability（TSC） with N-1 static security constraints, but different execution schemes show remarkable difference in efficiency and performance. To solve the problem more efficiently, an improved pseudo serial scheme was proposed. Firstly, when handling the slave problems, a technique which filters core contingencies was adopted to reduce computation redundancy. Then, in order to avoid slave problems making excessive correction to the master problem, slave problems corresponding to those filtered contingencies were ranked according to their severity in each iteration, and the mean-cut of the most serious ones was fed back to the master problem. Case studies indicate that, compared with other methods reported in recent literature, the proposed method finds better solution with faster convergence speed. The proposed method can provide quantitative solutions for power grid planning and operation, and evaluate the safety margin of real-time operation on line.