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Modelling Complete Power Outage Data Using Reliability
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
Department of Statistics, Akwa Ibom State College of Science and Technology, Nung Ukim, Nigeria
- 1 Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
- 2 Department of Statistics, Akwa Ibom State College of Science and Technology, Nung Ukim, Nigeria
American Journal of Operations Research·Volume 11 (2021)·Pages 87–99·Published 8 March 2021·DOI10.4236/ajor.2021.112005
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Abstract
Data on time between complete power outages, Time between Failure (TBF) in Uyo were considered. Trend test and serial correlation test were conducted graphically for the data. The tests proved that the data were identically and independently distributed (iid). Summary statistics of the data showed that complete power outage occurred 416 times between the year 2014 and 2018. The maximum likelihood estimation method was used to estimate the parameters of Weibull 2-parameter, Normal, Lognormal 2-parameter and exponential distributions. The values of Kolmogorov-Smirnov, Anderson Darling and Chi-Square statistics were used to determine the best fit distributions. A model for the computation of reliability of electric power was then proposed .
KeywordsReliabilityPower OutageTime between FailureWeibull 2-Parameter Distribution
- Nnanna, I. and Uzorh, A.C. (2011) The Impact of Power Outage on Nigeria Manufacturing Sector. NIIE Proceedings, Ibadan, 4-6 August 2011, 45-56.
- Saraswat, S. and Yadava, G.S. (2008) An Overview on Reliability, Availability, Maintainability and Supportability (RAMS) Engineering. International Journal of Quality and Reliability Management, 25, 330-344. https://doi.org/10.1108/02656710810854313
- Kececioglu, D. (1991) Reliability Engineering Handbook. Vol. 1, Prentice Hall Inc., Englewood Cliffs.
- Aly, M.F., Ajety, I.H., Abdel-Magied, R.K. and Elhahion, E.K. (2018) A Comprehensive Model of Reliability, Availability and Maintainability (RAM) for Industrial Systems Evaluations. JJMIE, 12, 59-67.
- Goets, W. and Villa, S.D. (1998) Reliability Improvement through the Use of Plant Operating Data and the ORAP Database. O & M Conference on Modern Power Systems, London.
- Kolawole, A., Agbola, O.O., Ikubanni, P.P., Raji, O.G. and Osueke, C.O. (2019) Reliability and Power Loss Analysis: A Case Study of a Power Plant in Nigeria. Cogent Engineering, 6, Article ID: 1579426. https://doi.org/10.1080/23311916.2019.1579426
- Adamu, M.A., Adebayo, B.A., Bajoya, B.G., Ambafi, J.G. and Omokhafe, J.T. (2012) Reliability Evaluation of Kainji Hydro-Electric Power Station in Nigeria. Journal of Energy Technology and Policy, 2, 15-30.
- Dewangan, D.N., Kumar, M.J. and Banjare, Y.P. (2014) Reliability Investigation of Steam Turbine Used in Thermal Power Plant. International Journal of Innovation Research in Science, Engineering and Technology (IJIRSET), 3, 14915-14923.
- Barabady, J. (2005) Reliability and Maintenability Analysis of Crushing Plants in Jajarm Bauxite Mine of Iran. Annual Reliability and Maintainability Symposium, Alexandria, 24-27 January 2005, 109-115. https://doi.org/10.1109/RAMS.2005.1408347
- Reliasoft (2007) How Good Is Your Assumed Distribution’s Fit. Reliability Basic Issue. http://www.weibull.com/hotwire/issue71/relbasics71.htm
- Pohl, E. (2010) System Reliability. John Willey and Sons, Hoboken. https://doi.org/10.1002/9780470926963.ch8
- Elsayed, E.A. (2012) Reliability Engineering. 2nd Edition, John Wiley and Sons, Hoboken.
- Kumar, U. and Klefsjo, B. (1992) Reliability Analysis of Hydraulic System of LHD Machine Using the Power Law Process Model. Reliability Engineering and System Safety, 35, 217-224. https://doi.org/10.1016/0951-8320(92)90080-5