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Reliability analysis of a two-dimensional voting system equipped with protective devices considering triggering failures

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  • Zhao, Xian
  • Dong, Bingbing
  • Wang, Xiaoyue

Abstract

Some engineering systems are supported by protective devices to mitigate system failure risks and extend system lifetime. Nevertheless, existing research on the reliability of systems with protective devices has some limitations regarding the system composition, shock impact mechanisms, protection mechanisms and triggering mechanisms of the protective device. To fulfill these research gaps, this paper proposes a reliability model for a two-dimensional voting system consisting of n subsystems with multi-state protective devices in a shock environment, driven by practical engineering applications. The components in such a system degrade gradually under a novel mixed δ-shock model. Each subsystem is supported by a protective device responsible for isolating failed components in the subsystem to ensure the stable operation of the entire system. The triggering failure of the protective device is taken into account and a maximum number of triggering attempts is preset for the protective device in each working state. Probabilistic indices of system reliability and the protective device's performance are obtained by using the finite Markov chain imbedding approach and universal generating function technique. Ultimately, a case study based on the power distribution system with protection relays is presented to demonstrate the applicability of the proposed model.

Suggested Citation

  • Zhao, Xian & Dong, Bingbing & Wang, Xiaoyue, 2023. "Reliability analysis of a two-dimensional voting system equipped with protective devices considering triggering failures," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
  • Handle: RePEc:eee:reensy:v:232:y:2023:i:c:s0951832022006536
    DOI: 10.1016/j.ress.2022.109038
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    as
    1. Dheeraj Goyal & Nil Kamal Hazra & Maxim Finkelstein, 2022. "On the Time-Dependent Delta-Shock Model Governed by the Generalized PóLya Process," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1627-1650, September.
    2. Dui, Hongyan & Zhang, Chi & Tian, Tianzi & Wu, Shaomin, 2022. "Different costs-informed component preventive maintenance with system lifetime changes," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    3. Yanbo Song & Xiaoyue Wang, 2022. "Reliability Analysis of the Multi-State k -out-of- n : F Systems with Multiple Operation Mechanisms," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    4. Eryilmaz, Serkan, 2015. "Assessment of a multi-state system under a shock model," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 1-8.
    5. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Wu, Congshan, 2023. "Reliability assessments for two types of balanced systems with multi-state protective devices," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    6. 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).
    7. Hongyan Dui & Zhe Xu & Liwei Chen & Liudong Xing & Bin Liu, 2022. "Data-Driven Maintenance Priority and Resilience Evaluation of Performance Loss in a Main Coolant System," Mathematics, MDPI, vol. 10(4), pages 1-18, February.
    8. Mohammad Hossein Poursaeed, 2021. "Reliability analysis of an extended shock model," Journal of Risk and Reliability, , vol. 235(5), pages 845-852, October.
    9. Junhong Zhang & Zhexuan Xu & Jiewei Lin & Zefeng Lin & Jingchao Wang & Tianshu Xu, 2018. "Thermal Characteristics Investigation of the Internal Combustion Engine Cooling-Combustion System Using Thermal Boundary Dynamic Coupling Method and Experimental Verification," Energies, MDPI, vol. 11(8), pages 1-20, August.
    10. Levitin, Gregory & Xing, Liudong & Huang, Hong Zhong, 2019. "Dynamic availability and performance deficiency of common bus systems with imperfectly repairable components," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 58-66.
    11. Dinesh, A. & Benson, C.M. & Holborn, P.G. & Sampath, S. & Xiong, Y., 2020. "Performance evaluation of nitrogen for fire safety application in aircraft," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    12. Xiao, Hui & Yi, Kunxiang & Liu, Haitao & Kou, Gang, 2021. "Reliability modeling and optimization of a two-dimensional sliding window system," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    13. Zhao, Xian & Guo, Xiaoxin & Wang, Xiaoyue, 2018. "Reliability and maintenance policies for a two-stage shock model with self-healing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 185-194.
    14. Ranjkesh, Somayeh Hamed & Hamadani, Ali Zeinal & Mahmoodi, Safieh, 2019. "A new cumulative shock model with damage and inter-arrival time dependency," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    15. Gao, Hongda & Cui, Lirong & Qiu, Qingan, 2019. "Reliability modeling for degradation-shock dependence systems with multiple species of shocks," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 133-143.
    16. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, September.
    17. Li, Zehui & Kong, Xinbing, 2007. "Life behavior of [delta]-shock model," Statistics & Probability Letters, Elsevier, vol. 77(6), pages 577-587, March.
    18. Read, G.J.M. & Naweed, A. & Salmon, P.M., 2019. "Complexity on the rails: A systems-based approach to understanding safety management in rail transport," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 352-365.
    19. Eryilmaz, Serkan & Kan, Cihangir, 2019. "Reliability and optimal replacement policy for an extreme shock model with a change point," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
    20. Eryilmaz, Serkan, 2011. "Estimation in coherent reliability systems through copulas," Reliability Engineering and System Safety, Elsevier, vol. 96(5), pages 564-568.
    21. Dheeraj Goyal & Nil Kamal Hazra & Maxim Finkelstein, 2022. "On the general $$\delta $$ δ -shock model," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(4), pages 994-1029, December.
    22. Wu, Congshan & Zhao, Xian & Wang, Xiaoyue & Wang, Siqi, 2021. "Reliability analysis of performance-based balanced systems with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    23. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Zhou, Jian, 2022. "Reliability analyses of k-out-of-n: F capability-balanced systems in a multi-source shock environment," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    24. Wang, Xiaoyue & Zhao, Xian & Wang, Siqi & Sun, Leping, 2020. "Reliability and maintenance for performance-balanced systems operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
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    1. Wang, Xiaoyue & Chen, Xi & Zhao, Xian & Ning, Ru, 2024. "Reliability analysis of self-healing systems equipped with multi-component protective devices operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    2. Zhang, Changzhen & Yang, Jun & Li, Mingjia & Wang, Ning, 2024. "Reliability analysis of a two-dimensional linear consecutive-(r,s)-out-of-(m,n): F repairable system," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
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    4. Eryilmaz, Serkan & Unlu, Kamil Demirberk, 2023. "A new generalized δ-shock model and its application to 1-out-of-(m+1):G cold standby system," Reliability Engineering and System Safety, Elsevier, vol. 234(C).

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