Journal of Mathematics and Statistics

Reliability Parameters of a Power Generating System with Shared Load

Ritu Gupta, S.K. Mittal and C.M. Batra

DOI : 10.3844/jmssp.2007.211.219

Journal of Mathematics and Statistics

Volume 3, Issue 4

Pages 211-219


This study presents a model, based on power generating system with shared load. The whole generating system consists of three subsystems viz: subsystem A , subsystem B and subsystem C. The subsystem A consists of one generating unit and one inbuilt transformer. The subsystem B also contains the same units and is connected in parallel to subsystem A. The output of this power system goes through the subsystem C that consists of one outer transformer and which may be further distributed as desired. The system has three types of states, viz: normal, degraded and failed. All types of failure rates and repair rates of inbuilt transformers are exponential while other repair rates are distributed quite generally. Supplementary Variable Technique has been employed to obtain various state probabilities and then the reliability parameters have been evaluated for the whole generating system.


© 2007 Ritu Gupta, S.K. Mittal and C.M. Batra. 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.