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

Volume 8, Issue 1, August 2013 pp 36-41

Research Article

Failure Analysis of Thermal Power Plant Using Normal and Lognormal Distributions


C. P. S. Hungund*, Shrikant Patil**

{*Professor, **Research Scholar} Department of Statistics, Gulbarga University, Gulbarga, Karnataka, INDIA.

Academic Editor:  Dr. Dase R. K.


The authors have analyzed the failure patterns of power units of Thermal Power Plant located at Shakti Nagar, Raichur, Karnataka.  In the study, it was found that Weibull distribution is good fit to the working hour data compared with exponential distribution [3]-[5]. But the study would be incomplete unless we test it through Normal and Lognormal distributions. The reasons may be Normal and Lognormal are widely used distributions in reliability studies and together they are addressed because they are intimately related. It is always our interest in assessing whether a data set comes from such distributions. Consequently, when a random variable is distributed Lognormal, the Logarithm (base e) of the random variable is distributed Normal. This property carries our data sets too. In this paper, we have made an attempt to fit Normal and Lognormal distributions to power units of failure data related to thermal power plant. For the collected data, Normal and Lognormal Models are fitted and tested for its Goodness of Fit (GoF). Based on the fitted model we have estimated reliabilities of thermal power units. Conclusions were drawn based on the result obtained.

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