Journal of Mathematics and Statistics

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

DOI : 10.3844/jmssp.2010.17.22

Journal of Mathematics and Statistics

Volume 6, Issue 1

Pages 17-22

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.

Copyright

© 2010 G. S. Mokaddis, M. Salah EL-Sherbeny and Entesar Al-Esayeh. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.