International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605
Volume 11, Issue 3, August 2014 pp 228-234
Research Article
Gain-function of two-unit non-identical warm standby nuclear power system with failure due to extremely high radiations and failure due to non-availability of heavy water D2O in nuclear power reactors
Ashok Kumar Saini
Associate Professor, Department of Mathematics, B. L. J. S. College, Tosham, Bhiwani, Haryana, INDIA.
Academic Editor: Dr. Dase R. K.
Abstract
Introduction:Apressurized heavy-water reactor(PHWR) is anuclear power reactor, commonly using enrichednatural uraniumas its fuel, that usesheavy water(deuterium oxideD2O) as itscoolantandmoderator. The heavy-water coolant is kept under pressure, allowing it to be heated to higher temperatures without boiling, much as in aPWR. While heavy water is significantly more expensive than ordinary light water, it yields greatly enhancedneutron economy, allowing the reactor to operate without fuel-enrichment facilities(mitigating the additionalcapital costof the heavy water) and generally enhancing the ability of the reactor to efficiently make use of alternatefuel cycles. The 1979 Three Mile Island accident and 1986Chernobyl disaster, along with high construction costs, ended the rapid growth of global nuclear power capacity. A further disastrous release of radioactive materials followed the 2011 Japanese tsunami which damaged the Fukushima I Nuclear Power Plant, resulting in hydrogen gas explosions and partial meltdowns classified as a Level 7event. The large-scale release of radioactivity resulted in people being evacuated from a 20 km exclusion zone set up around the power plant, similar to the 30 km radius Chernobyl Exclusion Zone still in effect.In Nuclear Reactor the leakage in form of radiations becomes highly dangerous to the lives of living beings. The radiations from the nuclear reactor are always under serious consideration due to fatal and miserable results to human race. Every precautions and extra care is taken to avoid any miss-happening due to radiations. But still due carelessness or due to failure of some equipment in Nuclear Reactors there occur leakage of radiations causing a major casualty. In the present paper we have taken two-dissimilar warm standby nuclear power system with failure due to extremely high radiations which we abbreviated as FEHR and failure due to Non-availability of heavy water D2O in nuclear power reactor abbreviated as FNAHW. When there are radiations of extremely high magnitude the working of unit stops automatically to avoid excessive damage of the units and when the unit comes in no normal position the repair of the units’ starts immediately. The failure time distribution is taken as exponential and repair time distribution as general. Using 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. Special case by taking failure and repair as exponential have been derived and graphs are drawn.
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