Accounting of switching device errors for system with sliding redundancy based on dynamic fault tree

Authors

DOI:

https://doi.org/10.15587/2312-8372.2018.140535

Keywords:

reliability model, dynamic fault tree, sliding redundancy, switching device

Abstract

The object of research is a non-renewable system with a single sliding reservation. Such system consists of two main subsystems, one redundancy and two switching devices. While both main subsystems are operable, the spare subsystem is in an unloaded state. The redundancy system is designed to replace any major subsystem after its failure. Switching devices commute the main subsystems with a redundancy one. During the audit, it was revealed that the switching devices allow errors. In particular, a mistake of the first type, that is, they switch in advance, and a second type of error, that is, they pass the switching moment. This reduces the reliability of the system and leads to underutilization of the inherent resource.

An approach is proposed that quantitatively takes into account the influence of errors of the first and second type on the probability of failure-free operation of the system under study during its design. The approach consists of two stages. At the first stage, the reliability of the system is mathematically described by the dynamic failure tree. At the second stage, based on the failure tree, a Markov model is formed. Applying it, it is possible to calculate the probabilistic characteristics of the system.

The result is a mathematical relationship between the probability of trouble-free operation of the system and the parameters of the components of the system. In particular, the operating time to failure of the main and redundancy subsystems, as well as the parameters of switching devices that corresponds to errors of the first and second type. The form of presentation of the obtained results for the end user is a software product that automatically generates a family of graphs for reliability evaluation. Ignoring the errors of switching devices in the design of systems reduces their actual reliability, leads to underutilization of the reserve component resources, and also increases the probability of emergency situations.

Using a more accurate mathematical model makes it possible to monitor the errors of switching devices during the design of the system. The simulation results will be useful for selecting the parameters of the switching devices.

Author Biographies

Tetyana Stefanovych, Lviv Polytechnic National University, 12, Bandery str., Lviv, Ukraine, 79013

PhD, Associate Professor

Department of Mechanical Engineering

Serhiy Shcherbovskykh, Lviv Polytechnic National University, 12, Bandera str., Lviv, Ukraine, 79013

Doctor of Technical Sciences, Senior Researcher

Department of Computer-Aided Design

References

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Published

2018-04-24

How to Cite

Stefanovych, T., & Shcherbovskykh, S. (2018). Accounting of switching device errors for system with sliding redundancy based on dynamic fault tree. Technology Audit and Production Reserves, 4(2(42), 24–30. https://doi.org/10.15587/2312-8372.2018.140535

Issue

Vol. 4 No. 2(42) (2018): Information and Control Systems

Section

Systems and Control Processes: Original Research

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Copyright (c) 2018 Tetyana Stefanovych, Serhiy Shcherbovskykh

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