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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Gain-function of two non-identical warm standby system with failure due to non- availability of wind and failure due to no tides producing no tidal energy

Associate Professor, Department of Mathematics, B. L. J. S. College, Tosham, Bhiwani, Haryana, INDIA.

Abstract

Introduction: The worldwide installed capacity of wind power reached 283 GW by the end of 2012. China (75,564 MW), US (60,007 MW), Germany (31,332 MW) and Spain (22,796 MW) are ahead of India in fifth position. The short gestation periods for installing wind turbines, and the increasing reliability and performance of wind energy machines has made wind power a favored choice for capacity addition in India. Tidal power, also called tidal energy, is a form of hydropower that converts the energy of tides into useful forms of power, mainly electricity. Although not yet widely used, tidal power has potential for future generation. In Wind turbines, the wind plays an important and vital role. Similarly tides producing tidal energy plays pivotal role. The non-conventional renewable wind and tidal energy are cheap and readily available for use to produce electricity for institutions, hospitals, industries and upliftment of water to higher places for agriculture. Wind is the prime source from where wind energy can be generated and similarly tide for producing tidal energy. But when wind is not blowing strongly the wind turbines are unable to receive wind causing failure of the system. Similarly when there is no tides produce no tidal energy causing failure of the system. In the present paper we have taken two non-identical warm standby system with failure due to non- availability of wind and failure due to no tides producing no tidal energy. When there is non-availability of wind or tide the working of unit stops automatically. The failure time distribution is taken as exponential and repair time distribution as general. 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 profit-function. Special case by taking repair as exponential has been derived and graphs are drawn.