Multi-Stage Multi-Zone Defender-Attacker-Defender Model for Optimal Resilience Strategy with Distribution Line Hardening and Energy Storage System Deployment

This article proposes an optimal strategy by using line hardening and energy storage system (ESS) deployment to enhance the distribution system (DS) resilience in natural disasters. A multi-stage multi-zone DS line state set is established, based on the conceptual resilience quantification, to reflect spatial and temporal characteristics of the severe contingencies. To address random contingencies, the proposed problem is formulated as a defender-attacker-defender (DAD) model that minimizes the weighted load shedding in the worst-case scenario, and the column-and-constraint generation (CCG) algorithm is used to solve the model efficiently. The effectiveness of the proposed strategy is verified on the modified IEEE 33-node DS and a modified power grid representing a province in China.