Reliability Modeling of a Solar Photovoltaic System using Supplementary Variable Technique

Abstract

present study, an attempt has been made to derive the reliability measures of a solar photovoltaic system consisting of four subsystems arranged in a series. There is a single server who visits the system immediately to do repair of the unit. Failure time distributions are negative exponential while the repair time distributions of the subsystems are arbitrary. After repair, subsystems are ''as good as new''. Moreover, the whole system fails immediately when any subsystem fail. Switch devices are perfect. All random variables are statistically independent. Under these assumptions, using Markov process theory and the Laplace transform, some important reliability indexes and some steady state system indexes are derived. Finally, graphs for various measures of system effectiveness are derived using MATLAB to highlight the importance of the study.