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Abstract

Energy supply is a key indicator of nation's development, hence, the need to shift attention towards its sustainability. In this study, a reliability, availability, maintainability and dependability-(RAMD)-based approach is utilized to determine subsystem components that impede sustainable water supply. Mathematical models using the Markovian birth-death process and transition diagrams are developed for each component/subsystem for the energy supply system. Chapman-Kolmogorov differential equations for each component are also formulated. The failure and repair time random variables are statistically independent and follow exponential distribution. Three different cases of energy supply system are considered. The components/subsystems are solar photovoltaic (PV), wind, diesel generator (DG), inverter, pump, and tank respectively. RAMD analysis result reveals that the subsystem pump is the most critical with minimum reliability of 0.548811636 after 10 months and availability of 0.92 for all cases. The results also reveal that at a period of 10 months, the reliability of the systems are 0.299778623 for case I, 0.284193481 for case II and 0.257385582 for case III respectively. Based on the numerical results, it can be inferred that case I is the best among other cases and subsystem pump is the most critical subsystem component. The findings of this work would be very useful for designers and maintenance engineers.

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