TY  - JOUR
AU  - Mokaddis, G. S. 
AU  - EL-Sherbeny, M. Salah 
AU  - Al-Esayeh, Entesar 
PY  - 2010
TI  - Compare Between Two-Unit Cold Standby and Warm Standby Outdoor Electric Power Systems in Changing Weather
JF  - Journal of Mathematics and Statistics
VL  - 6
IS  - 1
DO  - 10.3844/jmssp.2010.17.22
UR  - https://thescipub.com/abstract/jmssp.2010.17.22
AB  - 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.