ISSN 0474-8662. Information Extraction and Processing. 2017. Issue 45 (121)
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Account of the errors of switching device for a system with 2-out-of-3 redundancy

Stefanovych T. O.
Lviv Polytechnic National University
Shcherbovskykh S. V.
Lviv Polytechnic National University

https://doi.org/10.15407/vidbir2017.45.056

Keywords: reliability model, dynamical fault tree, Markov model, 2-out-of-3 redundancy, switching device..

Cite as: Stefanovych T. O., Shcherbovskykh S. V. Account of the errors of switching device for a system with 2-out-of-3 redundancy. Information Extraction and Processing. 2017, 45(121), 56-62. DOI:https://doi.org/10.15407/vidbir2017.45.056


Abstract

The mathematical reliability model is developed that takes into account the errors of the first and second type of switching device for a system with 2-out-of-3 redundancy. The proposed model is designed to determine the reliability characteristic. The system consists of three identical energy sources and two switching devices. It is assumed that the system is the non-renewable and the switching devices cannot return to their original state. A fault tree mathematically describes the reliability of the system in which the logical conditions for the mutual influence of the components of the system and switching devices are specified. At the first stage, the fault tree is constructed for the system with ideal switching devices, e. g. they operate instantly and do not allow errors. At the second stage, the features of creating a dynamic k-terminal fault tree are considered taking into account the errors of the first and second kind. It is shown that to describe the system it is necessary to take into account six dynamic phenomena. Based on the fault trees, Markov models for the systems are constructed. Using this model, it is analyzed how the errors of the first and second type of switching devices influence the reliability characteristic of the system.


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