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Mathematical Problems in Engineering
Volume 2013, Article ID 583683, 6 pages
Research Article

A Case Study of Reliability and Performance of the Electric Power Distribution Station Based on Time between Failures

1School of Mathematical Sciences, University Sains Malaysia 11800, USM Penang, Malaysia
2Statistics Department, College of Administration and Economics, Baghdad University, Baghdad, Iraq
3Planning and Studies Department, University of Babylon, Babylon, Iraq

Received 26 February 2013; Revised 20 July 2013; Accepted 29 July 2013

Academic Editor: Yingwei Zhang

Copyright © 2013 Adam Baharum et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents an algorithm for estimating the performance of high-power station systems connected in series, parallel, and mixed series-parallel with collective factor failures caused by any part of the system equipment. Failures that occur frequently can induce a selective effect, which means that the failures generated from different equipment parts can cause failures in various subsets of the system elements. The objectives of this study are to increase the lifetime of the station and reduce sudden station failures. The case study data was collected from an electricity distribution company in Baghdad, Iraq. Data analysis was performed using the most valid distribution of the Weibull distribution with scale parameter α = 1.3137 and shape parameter β = 94.618. Our analysis revealed that the reliability value decreased by 2.82% in 30 days. The highest critical value was obtained for components T1, CBF5, CBF7, CBF8, CBF9, and CBF10 and must be changed by a new item as soon as possible. We believe that the results of this research can be used for the maintenance of power systems models and preventive maintenance models for power systems.