Distributionally Robust Optimal Strategy for Resilience Enhancement of Power Distribution Networks under Uncertain Earthquake Failures

Earthquakes have posed a significant threat to the power system, and it is imperative to enhance the earthquake resilience of power distribution networks (PDN). However, the uncertainty of line failure due to earthquakes presents a formidable challenge in decision-making. In this article, the strategies for resilience enhancement are carried out from the perspectives of pre-earthquake and post-earthquake. In the pre-earthquake stage, three kinds of strategies are considered: line hardening, distributed generator (DG) configuration, and line setting; in the post-earthquake stage, emergency teams are dispatched to repair failed lines, the distributed generators are started, and the contact lines are switched, according to the strategy taken before the disaster and the post-earthquake failure scenario. The moment-based ambiguity set of line failure is established, and a two-stage distributionally robust optimization model is put forth to find the optimal decision. The column-and-constraint generation algorithm is used to solve the two-stage problem. The results show that it is essential to install the tie line with a line switch to enhance the resilience of PDNs.