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Research Article Open access CC BY 4.0

Maintainability Modelling of Total Power Outage Data

N. P. Akpan, N. A. Bassey

Asian Research Journal of Mathematics · pp. 242–253 · Published 22 Jul 2023

10.9734/arjom/2023/v19i9716

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.

Maintainability power outage time to restore lognormal 2-parameter distribution exponential distribution maximum likelihood estimation

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