Markov Cut-Set Approach for the Reliability Evaluation of Transmission and Distribution Systems

A Markov cut-set composite approach to the reliability evaluation of transmission and distribution systems involving dependent failures is described. The method consists in using the cut set equations for the reliability indices and then using Markov processes for the evaluation of terms in these equations. In this method, the transition rate matrix of only the members of a cut set is generated and, therefore, only a limited number of equations need be solved at a time. Both the steady state and time-specific reliability indices can be calculated using this method.