Available transfer capability calculation with static security constraints

In power market environment, available transfer capability (ATC) is an important index indicating the amount of the further usable transmission capacity for commercial trading. ATC calculation is non-trivial when static security constraints are included. In this paper, Benders decomposition method is proposed to partition the ATC calculation problem with static security constraints into a base case master problem and a series of subproblems relevant to various contingencies. The master problem is used to handle the base case power flow constraints and Benders cut constraint from the corresponding subproblem, and each subproblem is used to generate the static security constraints from the corresponding contingency. The mathematical model is formulated and an improved parallel solution scheme is presented. Computer testing results on the IEEE 30-bus system show clearly the effectiveness of the proposed method and solution scheme.