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A stochastic hybrid systems model of common-cause failures of degrading components

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  • Fan, Mengfei
  • Zeng, Zhiguo
  • Zio, Enrico
  • Kang, Rui
  • Chen, Ying

Abstract

Common-Cause Failures (CCFs) are an important threat to safety critical systems. Most existing CCF models assume that the component failure behavior does not vary over time. Such an assumption is often challenged in practice due to the influence of various degradation mechanisms, e.g., wear, corrosion, fatigue, etc. In this paper, we develop a new model for CCFs considering components degradation. The model is developed in the mathematical framework of Stochastic Hybrid Systems (SHS). The CCFs are modeled as random shock processes that affect a group of components simultaneously and the components degradation processes are modeled by stochastic differential equations derived from physics-of-failures. The benefit of using the SHS model for CCFs is that the developed model is analytically solvable. The system reliability can, then, also be solved analytically in closed form. The proposed CCF modelling framework is demonstrated by a numerical example of a three-unit redundant system and, then, applied to an Auxiliary Feedwater Pump (AFP) system of a Nuclear Power Plant (NPP). A comparison to the Binomial Failure Rate (BFR) model of literature shows that by considering the components degradation processes, the proposed model can accurately describe the CCF effect on the reliability of a system with degrading components.

Suggested Citation

  • Fan, Mengfei & Zeng, Zhiguo & Zio, Enrico & Kang, Rui & Chen, Ying, 2018. "A stochastic hybrid systems model of common-cause failures of degrading components," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 159-170.
    • Handle: RePEc:eee:reensy:v:172:y:2018:i:c:p:159-170
    DOI: 10.1016/j.ress.2017.12.003
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    References listed on IDEAS

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    Cited by:

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    4. Dong, Wenjie & Liu, Sifeng & Bae, Suk Joo & Cao, Yingsai, 2021. "Reliability modelling for multi-component systems subject to stochastic deterioration and generalized cumulative shock damages," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    5. Han Zhang & Hanjie Yuan & Gengfeng Li & Yanling Lin, 2018. "Quantitative Resilience Assessment under a Tri-Stage Framework for Power Systems," Energies, MDPI, vol. 11(6), pages 1-23, June.
    6. Chiacchio, Ferdinando & Iacono, Alessandra & Compagno, Lucio & D'Urso, Diego, 2020. "A general framework for dependability modelling coupling discrete-event and time-driven simulation," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    7. Wang, Xiaoyue & Zhao, Xian & Wu, Congshan & Wang, Siqi, 2022. "Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    8. Sun, Bo & Fan, Xuejun & van Driel, Willem & Cui, Chengqiang & Zhang, Guoqi, 2018. "A stochastic process based reliability prediction method for LED driver," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 140-146.

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