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Markov analysis of redundant standby safety systems under periodic surveillance testing

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  • Hellmich, Mario
  • Berg, Heinz-Peter

Abstract

In modern applications of probabilistic safety assessment (PSA), maintenance planning and changes to technical specifications play an important role, not least due to regulatory requirements. In particular, standby safety systems under periodic surveillance testing are at the center of this issue. Since traditional PSA techniques impose limitations when complex maintenance and repair strategies are to be taken explicitly into account, we introduce continuous time Markov models to discuss various strategies for organizing repair and testing of two-train standby safety systems, which have the potential to replace traditional system models based on fault tree techniques in PSA. Besides a conventional steady state analysis of these Markov models, we provide a general numerical method which allows the calculation of the probability of exceeding allowed outage times of equipment in Markov models of safety systems, and we apply it to the models introduced in the present paper.

Suggested Citation

  • Hellmich, Mario & Berg, Heinz-Peter, 2015. "Markov analysis of redundant standby safety systems under periodic surveillance testing," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 48-58.
    • Handle: RePEc:eee:reensy:v:133:y:2015:i:c:p:48-58
    DOI: 10.1016/j.ress.2014.08.007
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    References listed on IDEAS

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    1. Martorell, S. & Villamizar, M. & Martón, I. & Villanueva, J.F. & Carlos, S. & Sánchez, A.I., 2014. "Evaluation of risk impact of changes to surveillance requirements addressing model and parameter uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 153-165.
    2. Verlinden, Steven & Deconinck, Geert & Coupé, Bernard, 2012. "Hybrid reliability model for nuclear reactor safety system," Reliability Engineering and System Safety, Elsevier, vol. 101(C), pages 35-47.
    3. Cho, Sungwhan & Jiang, Jin, 2008. "Analysis of surveillance test interval by Markov process for SDS1 in CANDU nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 1-13.
    4. Liu, Yiliu & Rausand, Marvin, 2013. "Reliability effects of test strategies on safety-instrumented systems in different demand modes," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 235-243.
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    Cited by:

    1. Levitin, Gregory & Jia, Heping & Ding, Yi & Song, Yonghua & Dai, Yuanshun, 2017. "Reliability of multi-state systems with free access to repairable standby elements," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 192-197.
    2. Zhang, Aibo & Wu, Shengnan & Fan, Dongming & Xie, Min & Cai, Baoping & Liu, Yiliu, 2022. "Adaptive testing policy for multi-state systems with application to the degrading final elements in safety-instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    3. Jia, Xiang & Chen, Hao & Cheng, Zhijun & Guo, Bo, 2016. "A comparison between two switching policies for two-unit standby system," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 109-118.
    4. Son, Kwang Seop & Seong, Seung Hwan & Kang, Hyun Gook & Jang, Gwi Sook, 2020. "Development of state-based integrated dependability model of RPS in NPPs considering CCF and periodic testing effects at the early design phase," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

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