Reliability Evaluation for Power Distribution System

In this model, the authors have evaluated availability and profit function for a power distribution system. Since the system is of non-Markovian nature, the supplementary variables have introduced to make the system Markovian. All the failures follow exponential time distribution whereas all the repairs follow general time distribution. System configuration has shown in fig.1. Laplace-transform and supplementary variables technique have used to solve and formulated the mathematical model, respectively. Steady-state behavior of the system and a particular case has also been obtained to improve the practical utility of the model.