MILP Formulation for Transmission Expansion Planning With Short-Circuit Level Constraints

This paper deals with the short-circuit level constrained transmission expansion planning (TEP) problem through a mixed-integer linear programming (MILP) approach. The proposed framework is outlined by a master problem and three subproblems based on the Benders decomposition technique. The master problem incorporates the optimal investment planning model. System security and short-circuit level constraints are examined by subproblems I and II, respectively. In case of any violation, infeasibility cuts are derived to reflect the appropriate modification in the master problem solution. The short-circuit study is inherently a nonlinear analysis and hard to concurrently be tackled in power system studies. To overcome this difficulty, a linear approximation is developed for the short-circuit analysis which not only mitigates the computational burden of the problem, but even is efficient for taking the advantage of decomposed schemes. Subproblem III examines optimality of the investment solution from the operation point of view and, through optimality cuts, steers the master problem toward the optimal solution. The proposed model is tested on the IEEE 24-bus reliability test system and its effectiveness is assured by comprehensive simulation studies.