ATC calculation with steady-state security constraints using Benders decomposition

Available transfer capability (ATC) is an important indicator of the usable amount of transmission capacity accessible by assorted parties for commercial trading. ATC calculation is nontrivial when steady-state security constraints are included. In this paper, Benders decomposition method is proposed to partition the ATC problem with state-steady security constraints into a base case master problem and a series of subproblems relevant to various contingencies to include their impacts on ATC. The mathematical model is formulated and the two solution schemes are presented. Computer testing on the 4-bus system and IEEE 30-bus system shows the effectiveness of the proposed method and the solution schemes.