Incorporating common-cause failures into nonrepairable multistate series-parallel system analysis

This paper adapts the universal generating function method of multistate system reliability analysis to incorporate common-cause failures (CCF). An implicit 2-stage approach is used. In stage #1, a polynomial representation of system-output performance distribution is obtained without considering sy...

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Bibliographic Details
Published inIEEE transactions on reliability Vol. 50; no. 4; pp. 380 - 388
Main Author Levitin, G.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2001
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Electronic equipment
Failure
Failure analysis
Hazards
Lightning
Mathematical analysis
Mathematical models
Polynomials
Power system modeling
Power system reliability
Random variables
Representations
Surges
System reliability
Systems analysis
Voltage
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ISSN0018-9529
1558-1721
DOI10.1109/24.983398

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Summary:This paper adapts the universal generating function method of multistate system reliability analysis to incorporate common-cause failures (CCF). An implicit 2-stage approach is used. In stage #1, a polynomial representation of system-output performance distribution is obtained without considering system elements which are subject to CCF. In stage #2, the contribution of CCF is correctly included based on information stored in vector-indicators that describe states of system elements belonging to various common-cause groups. A straightforward procedure is suggested for evaluating reliability functions of nonrepairable series-parallel multistate systems with CCF. This procedure allows the reliability functions to be obtained numerically. Examples are given.
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ISSN:0018-9529
1558-1721
DOI:10.1109/24.983398