A Resilient Evaluation Method of Distribution Network Based on Mechanical Mapping

The increasing occurrence of extreme natural disasters has presented significant challenges to the distribution network. It is essential to assess the resilience of the distribution network in coping with such disasters. However, there is currently no unified standard for evaluating resilience. This paper proposes a resilient evaluation method for the distribution network based on mechanical mapping. Firstly, the paper divides the impact of extreme disasters on the distribution network into three stages: pre-disaster, in-disaster, and post-disaster, using the performance curve of the distribution network. Secondly, the paper constructs a resilient representation model of the distribution network for the in-disaster and post-disaster stages. The resistance stage in the disaster is mapped to the compression process of a spring in mechanics, and the recovery stage is mapped to the extension process of the spring in mechanics. The paper derives the expressions of the resilience coefficient of resistance and the resilience coefficient of recovery, as well as the relationship between the resilience coefficient and other resilience indices. Finally, the feasibility and effectiveness of the proposed method are verified using the modified IEEE 33-node distribution network.