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

Volume 11, Issue 2, August 2014 pp 147-152
Research Article

Gain-function of two non-identical warm standby system with failure due to non- availability of wind and switch failure
Ashok Kumar Saini

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

Academic Editor: Dr. Dase R. K.


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 favoured choice for capacity addition in India. In Wind turbines, the wind plays an important and vital role. The non-conventional renewable wind energy which is 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. But when wind is not blowing strongly the wind turbines are unable to receive wind which 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. When there is non-availability of wind 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.

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