A Quantitative Resilience Measure Framework for Power Systems against Wide-Area Extreme Events

A framework for quantitative evaluation of the power system resilience considering multimicrogids effects is proposed in this article. The main contribution of the proposed approach is that it incorporates various features underlined in the concept of the power system resilience, such as loss of load probability, expected demand not supplied, system fragility, system recovery difficulties, and system adaption ability after experiencing a destructive event. In addition to the power system aspects, the proposed resilience framework employs the type and severity of natural disasters to achieve realistic results. To model the impact of multiple-microgrids, at first, the discrete-time multistate transition model of the power system under an extreme event is obtained. Then the probability of system states (normal, microgrid, and emergency) is calculated using the time-independent transition matrix and according to the time-homogeneous Markov chain. The effectiveness of the proposed method is tested on the IEEE 30-bus test case and real electricity network of Great Britain in five episodes each with 2000 scenarios.