Analysis of a Reliability Model of an Off-Grid Solar System and a Generator Under Conditional Repair

In this paper, a reliability model of an off-grid solar system (subsystem-A) and a generator (subsystem-B) is developed to analyze the numerous reliability measures such as mean time to system failure, availability, busy period of the technician and profit of the system model. Subsystem-A is a primary source of electricity and is initially operative whereas subsystem-B is a backup unit in cold standby mode. A technician is hired to perform all the repair and associated activities who attends subsystem-A at its failure and starts its repair instantly, whereas subsystem-B undergoes inspection to identify the requirement of minor/major repair. Failure and repair rates are distributed exponentially while general distribution is taken for activation rate of subsystem-A and operation rate for both the subsystems. Semi-Markov process and regenerative point techniques are applied to find the reliability measures. For arbitrary values, MTSF and profit of the system model are analyzed, and their graphs are drawn to show the impact of conditional repair on the system model. From the outputs we observe that the conditional repair policy plays key role while optimizing the MTSF and profit of the system model.