Total supply capability considering distribution network reconfiguration under N − k transformer contingency and the decomposition method

Abstract

To guarantee reliability and resilience of distribution systems, total supply capability (TSC) under N - 1 security has become an important consideration in distribution system planning. In this study, TSC is expanded to cover N - k contingency, and a robust N - k TSC evaluation is proposed, while considering the effect of topology reconfiguration. In addition, the single commodity flow constraint is put forward to guarantee the topology radiality. To address this mix integer non-convex optimisation problem, the second-order cones are employed to relax the non-convex constraints so that the model can be efficiently solved, then a decomposition method is applied to solve the two-stage robust TSC model. In the case study, the proposed method is tested by a 94-bus test system and its effectiveness is validated. Numerical results show that the proposed method outperforms the traditional methods.