Stochastic security-constrained generation expansion planning methodology based on a generalized line outage distribution factors

In this study, the authors proposes to develop an efficient formulation in order to figure out the stochastic security-constrained generation capacity expansion planning (SC-GCEP) problem. The main idea is related to directly compute the line outage distribution factors (LODF) which could be applied to model the N − m post-contingency analysis. In addition, the post-contingency power flows are modeled based on the LODF and the partial transmission distribution factors (PTDF). The PTDF-based generation capacity planning formulation has been reformulated in order to include the post-contingency constraint solving both pre- and post-contingency constraints simultaneously. The methodology includes in the optimization problem the load uncertainty using a two-stage multi-period model, and a K−means clustering technique is applied to reduce the load scenarios. The main advantage of this methodology is the feasibility to quickly compute the post-contingency factors especially with multiple-line outages (N − m). This idea could speed up contingency analyses and improve significantly the security-constrained analyses applied to stochastic GCEP problems. It is conducted several experiments with two electrical power systems in order to validate the performance of the proposed formulation.