Maintainability Modelling of Total Power Outage Data
N. P. Akpan *
Department of Mathematics and Statistics, University of Port Harcourt, Nigeria.
N. A. Bassey
Department of Statistics, Akwa Ibom State College of Science and Technology, Nung Ukim, Ikono, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Sequel to the trend of the epileptic nature of electricity power supply in some part of the country, this paper provides a maintainability model for this problem in Uyo. Different statistical test were employed in the work. The data was subjected to both descriptive and inferential analysis. It was observed that the set of outage data used in the research were identically and independently distributed. Different distributions were tested to obtain the best fitted distribution. Hence the maintainability model for the total outage power data was proposed as \(M(t)=\emptyset\left(\frac{1}{0.6374} \ln \left(t / e^{0.28256}\right)\right)\) Furthermore, it was observed that the lognormal distribution was the best distribution to model the maintainability of the electric power supply in Uyo.
Keywords: Maintainability, power outage, time to restore, lognormal 2-parameter distribution, exponential distribution, maximum likelihood estimation