Journal Press India®

Numerical Analysis of Cost Function of Electric Supply Reliability of a Standby System with Critical Human Error and Environmental Failure

Vol 2 , Issue 1 , January - March 2014 | Pages: 36-41 | Research Paper  

https://doi.org/10.51976/ijari.211405

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Author Details ( * ) denotes Corresponding author

1. * Ravindra Pratap Singh, Department of Mathematics, Agra College, Agra, Uttar Pradesh, India
2. G. K. Dubey, Department of Mathematics, Agra College, Agra, Uttar Pradesh, India

This paper presents an electric supply system consisting of two subsystem, A & B in series (1-out-of-2: F) viz. Generation system and supply respectively. The electric system fails, if any of the two subsystems A&B fails. The generation system A consists of three identical units. Initially only two units work and third unit is in standby. The standby unit is operated when any of the two units fails, through the automatic changeover, which is assumed to be perfect. The electric system goes to degraded state when only one unit of A is operable. The electric system may also fail due to critical human error and environmental failure. The failure time for the system follows exponential distribution whereas repair time assumes arbitrary distribution. Using Laplace transform various state probabilities and evaluated along with cost function. Numerical examples have been added to highlight the important results.

Keywords

Standby Redundancy; Environmental Failure; Human Error


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