Research Article Open Access

Compare Between Two-Unit Cold Standby and Warm Standby Outdoor Electric Power Systems in Changing Weather

G. S. Mokaddis, M. Salah EL-Sherbeny and Entesar Al-Esayeh

Abstract

Problem statement: This study presents the reliability analysis of two mathematical models representing electric power systems operating in fluctuating outdoor weather (i.e., normal and stormy weather) and compared between two models. Approach: Model I deals the reliability analysis of a single-server two-unit cold standby, Model II deals the reliability analysis of a single-server two-unit warm standby, for two systems with two different modes (normal, total failure). System failure occurs when both the units fail totally. Results: The failure rate and failed repair rate of a unit are constants. Laplace transforms of the various state probabilities have been derived and then reliability is obtained by the inversion process. Conclusion/Recommendations: Mean Time To Failure (MTTF) are derived. The failure times of operating/spare units and repair time of failed units are exponential distributed. Certain important results are compared between two systems.

Journal of Mathematics and Statistics
Volume 6 No. 1, 2010, 17-22

DOI: https://doi.org/10.3844/jmssp.2010.17.22

Submitted On: 15 October 2009 Published On: 31 March 2010

How to Cite: Mokaddis, G. S., EL-Sherbeny, M. S. & Al-Esayeh, E. (2010). Compare Between Two-Unit Cold Standby and Warm Standby Outdoor Electric Power Systems in Changing Weather. Journal of Mathematics and Statistics, 6(1), 17-22. https://doi.org/10.3844/jmssp.2010.17.22

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Keywords

  • Reliability to system R(t) and Mean-Time To Failure (MTTF)