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A simple reliability block diagram method for safety integrity verification

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  • Guo, Haitao
  • Yang, Xianhui

Abstract

IEC 61508 requires safety integrity verification for safety related systems to be a necessary procedure in safety life cycle. PFDavg must be calculated to verify the safety integrity level (SIL). Since IEC 61508-6 does not give detailed explanations of the definitions and PFDavg calculations for its examples, it is difficult for common reliability or safety engineers to understand when they use the standard as guidance in practice. A method using reliability block diagram is investigated in this study in order to provide a clear and feasible way of PFDavg calculation and help those who take IEC 61508-6 as their guidance. The method finds mean down times (MDTs) of both channel and voted group first and then PFDavg. The calculated results of various voted groups are compared with those in IEC61508 part 6 and Ref. [Zhang T, Long W, Sato Y. Availability of systems with self-diagnostic components-applying Markov model to IEC 61508-6. Reliab Eng System Saf 2003;80(2):133–41]. An interesting outcome can be realized from the comparison. Furthermore, although differences in MDT of voted groups exist between IEC 61508-6 and this paper, PFDavg of voted groups are comparatively close. With detailed description, the method of RBD presented can be applied to the quantitative SIL verification, showing a similarity of the method in IEC 61508-6.

Suggested Citation

  • Guo, Haitao & Yang, Xianhui, 2007. "A simple reliability block diagram method for safety integrity verification," Reliability Engineering and System Safety, Elsevier, vol. 92(9), pages 1267-1273.
    • Handle: RePEc:eee:reensy:v:92:y:2007:i:9:p:1267-1273
    DOI: 10.1016/j.ress.2006.08.002
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    Cited by:

    1. Guo, Haitao & Yang, Xianhui, 2008. "Automatic creation of Markov models for reliability assessment of safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 93(6), pages 829-837.
    2. Kumar, Manoj & Verma, A.K. & Srividya, A., 2008. "Modeling demand rate and imperfect proof-test and analysis of their effect on system safety," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1720-1729.
    3. Jin, Hui & Rausand, Marvin, 2014. "Reliability of safety-instrumented systems subject to partial testing and common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 146-151.
    4. Alizadeh, Siamak & Sriramula, Srinivas, 2018. "Impact of common cause failure on reliability performance of redundant safety related systems subject to process demand," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 129-150.
    5. Mechri, Walid & Simon, Christophe & BenOthman, Kamel, 2015. "Switching Markov chains for a holistic modeling of SIS unavailability," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 212-222.
    6. Jin, Hui & Lundteigen, Mary Ann & Rausand, Marvin, 2013. "New PFH-formulas for k-out-of-n:F-systems," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 112-118.
    7. Zhao, Xianqiong & Malasse, Olaf & Buchheit, Grégory, 2019. "Verification of safety integrity level of high demand system based on Stochastic Petri Nets and Monte Carlo Simulation," Reliability Engineering and System Safety, Elsevier, vol. 184(C), pages 258-265.
    8. Cui, Lin & Shu, Yidan & Wang, Zhaohui & Zhao, Jinsong & Qiu, Tong & Sun, Wenyong & Wei, Zhenqiang, 2012. "HASILT: An intelligent software platform for HAZOP, LOPA, SRS and SIL verification," Reliability Engineering and System Safety, Elsevier, vol. 108(C), pages 56-64.
    9. Lijie, Chen & Tao, Tang & Xianqiong, Zhao & Schnieder, Eckehard, 2012. "Verification of the safety communication protocol in train control system using colored Petri net," Reliability Engineering and System Safety, Elsevier, vol. 100(C), pages 8-18.
    10. Azizpour, Hooshyar & Lundteigen, Mary Ann, 2019. "Analysis of simplification in Markov-based models for performance assessment of Safety Instrumented System," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 252-260.
    11. Chae, Young Ho & Kim, Seung Geun & Seong, Poong Hyun, 2021. "Reliability of the system with loops: Factor graph based approach," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    12. Zhou, Daoqing & Sun, C.P. & Du, Yi-Mu & Guan, Xuefei, 2022. "Degradation and reliability of multi-function systems using the hazard rate matrix and Markovian approximation," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    13. Pirbhulal, Sandeep & Gkioulos, Vasileios & Katsikas, Sokratis, 2021. "A Systematic Literature Review on RAMS analysis for critical infrastructures protection," International Journal of Critical Infrastructure Protection, Elsevier, vol. 33(C).
    14. Baohua Wang & Danning Li & Shun Zhang, 2019. "The Performance Quantitative Model Based on the Specification and Relation of the Component," Mathematics, MDPI, vol. 7(8), pages 1-14, August.
    15. Gabriel, Angelito & Ozansoy, Cagil & Shi, Juan, 2018. "Developments in SIL determination and calculation," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 148-161.
    16. Ding, Long & Wang, Hong & Kang, Kai & Wang, Kai, 2014. "A novel method for SIL verification based on system degradation using reliability block diagram," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 36-45.
    17. Tao, Haohan & Jia, Peng & Wang, Xiangyu & Wang, Liquan, 2024. "Reliability analysis of subsea control module based on dynamic Bayesian network and digital twin," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    18. Zhang, Zixuan & Yang, Lin & Xu, Youwei & Zhu, Ran & Cao, Yining, 2023. "A novel reliability redundancy allocation problem formulation for complex systems," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    19. 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.
    20. Bistouni, Fathollah & Jahanshahi, Mohsen, 2014. "Analyzing the reliability of shuffle-exchange networks using reliability block diagrams," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 97-106.
    21. Moustafa, Kassem & Hu, Zhen & Mourelatos, Zissimos P. & Baseski, Igor & Majcher, Monica, 2021. "System reliability analysis using component-level and system-level accelerated life testing," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    22. R Pascual & D Louit & A K S Jardine, 2011. "Optimal inspection intervals for safety systems with partial inspections," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2051-2062, December.
    23. Zarghami, Seyed Ashkan & Dumrak, Jantanee, 2021. "Aleatory uncertainty quantification of project resources and its application to project scheduling," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    24. Kristjanpoller, Fredy & Crespo, Adolfo & Barberá, Luis & Viveros, Pablo, 2017. "Biomethanation plant assessment based on reliability impact on operational effectiveness," Renewable Energy, Elsevier, vol. 101(C), pages 301-310.
    25. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2009. "Design optimization of a safety-instrumented system based on RAMS+C addressing IEC 61508 requirements and diverse redundancy," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 162-179.

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