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Gain- Function of Two Dissimilar Warm Standby Systems Subject To Failure Due To Voltage Fluctuations and Non-Availability of Water Resulting Failure of Hydroelectric Power with Switch Failure

Abstract

The energy in the flowing water can be used to produce electricity. Hydro power is one of the best, cheapest, and cleanest sources of energy. New environmental laws affected by the danger of global warming have made energy from small hydropower plants more relevant. The mathematical theory of reliability has grown out of the demands of modern technology and particularly out of experiences in World War II (1939-1945) with complex military systems although the concept of reliability is as old as man himself. In the present paper we have taken two-nonidentical warm standby system with failure time distribution as exponential and repair time distribution as general. The Role of voltage fluctuations and non-availability of water resulting failure of hydroelectric power under which the system operates plays significant role on its working. We are considering system under (i) voltage fluctuations and (ii) Non-availability of water resulting failure of hydroelectric power causing different types of failure requiring different types of repair facilities. Using semi Markov regenerative point technique we have calculated different reliability characteristics such as MTSF, reliability of the system, availability analysis in steady state, busy period analysis of the system under repair, expected number of visits by the repairman in the long run and gain-function and graphs are drawn.

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