An analytical method for reliability and resilience evaluation of power distribution systems with mobile power sources

With the gradual expansion of distribution system scales, increasing structural complexity, and growing uncertainties caused by the integration of mobile power sources (MPSs) and various renewable energy sources, higher demands are placed on distribution system reliability and resilience evaluation. This paper proposes an analytical method for reliability and resilience evaluation of distribution systems with MPS, based on the probability expectation and probability density evolution. First, a modeling approach for MPS is presented, and the evaluation is divided into long-term reliability evaluation and short-term resilience evaluation according to the evaluation timescale and the level of system disruption risk. Next, the backup power supply strategy of MPS for failure nodes is investigated in the context of reliability and resilience evaluations. Subsequently, an analytical method for evaluating the reliability and resilience of distribution systems with MPS is proposed based on probability theory and probability density evolution. Additionally, reliability and resilience indices and their calculation methods are introduced. The effectiveness and efficiency of the proposed method are validated through case studies on the modified IEEE 123-node system.