Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2011
  • Volume: 30e
  • Issue: 2

Reliability analysis of a complex power supply system using different techniques

  • Author:
  • M.M. Gupta1, Abha Chandra1, M. K. Sharma2
  • Total Page Count: 14
  • Page Number: 217 to 230

1Department of Statistics, Meerut College, Meerut (U.P.)

2Department of Mathematics, R.S.S. (PG) College, Philkhuwa, Ghaziabad (U.P.)

AMS Subject 2000 classification: -90 B25

Abstract

Research in traditional reliability theory is based mainly on Probist reliability which uses binary state assumption and modules governed by classical Probability distributions. In the present paper we have calculated the probist reliability and MTSF of a power system using Weibull and exponential distribution. The paper also obtains the failure rate estimation by using fuzzy technique. Classical reliability estimates for the system and examines the effect of fuzziness on system reliability. However given the underlying uncertainty in data, exact parameter measures are difficult to obtain. In this paper we introduce a new approach, based on fuzzy set theory to estimate these system parameters.

Keywords

Reliability modeling, Mean time to system failure (MTSF), Weibull distribution, Power failure System, Boolean function Technique (BFT), Fuzzification and defuzzification