Improved reliability assessment of valve hall: Considering failure correlation
Xinzhu Qiao, Zhihang Xue, Qiang Xie
Abstract. Valve hall is the core system of converter stations and is critical for the operation of power systems. It is necessary to conduct seismic reliability assessments based on real response data. Traditional system reliability assessments are based on the response states of individual structures and the functional dependencies between them, typically assuming that the response states of different structures are completely independent. However, complex interactions exist between system components, meaning that such assumptions may lead to inaccurate assessment results. Copula method provides an effective tool for modeling the dependency structure between variables. By developing a detailed finite element model of the valve hall system, the actual response states of various equipment under seismic conditions are simulated. D-Vine Copula model is used to construct the dependency structure among the equipment response states, enabling a seismic reliability assessment of the valve hall system that accounts for equipment correlations. Comparisons reveal that reliability assessment methods based on the assumption of complete independence among components tend to underestimate the seismic performance of the valve hall system. This further confirms the necessity of considering the correlations between the response states of components in reliability assessments.
Keywords
Valve Hall, Converter Station, Reliability Assessment, D-Vine Copula, Correlation
Published online 3/25/2025, 8 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Xinzhu Qiao, Zhihang Xue, Qiang Xie, Improved reliability assessment of valve hall: Considering failure correlation, Materials Research Proceedings, Vol. 50, pp 252-259, 2025
DOI: https://doi.org/10.21741/9781644903513-29
The article was published as article 29 of the book Structural Health Monitoring
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] SCHIFF A J. Northridge earthquake:lifeline performance and post-earthquake response1995[M]//ASCE, 1995, 16.
[2] XIE Q,ZHU R.Damage to electric power grid infrastructure caused by natural disasters in China[J]. IEEE Power and Energy Magazine, 2011, 9(2):28-36. https://doi.org/10.1109/MPE.2010.939947
[3] MOHAMED A,MOUSTAFA K M M. Structural performance of porcelain and polymer post insulators in high voltage electrical switches [J]. Journal of Performance of Constructed Facilities, 2016, 30(5). https://doi.org/10.1061/(ASCE)CF.1943-5509.0000848
[4] He C, Liu R, He Z. Seismic vulnerability assessment on porcelain electrical equipment based on Kriging model[J]. Structures, 2023, 55: 1692-1703. https://doi.org/10.1016/j.istruc.2023.06.134
[5] Li J, Wang T, Shang Q. Probability‐based seismic reliability assessment method for substation systems[J]. Earthquake Engineering & Structural Dynamics, 2019, 48(3): 328-346. https://doi.org/10.1002/eqe.3138
[6] Liang H, Xie Q. System Vulnerability Analysis Simulation Model for Substation Subjected to Earthquakes[J]. IEEE Transactions on Power Delivery, 2021: 1-1.
[7] Liu X, Zheng S, Wu X, et al. Research on a seismic connectivity reliability model of power systems based on the quasi-Monte Carlo method[J]. Reliability Engineering & System Safety, 2021, 215: 107888. https://doi.org/10.1016/j.ress.2021.107888
[8] Gao P, Xie L Y, Pan J. Reliability and availability models of belt drive systems considering failure dependence[J]. Chinese Journal of Mechanical Engineering, 2019, 32(2): 133-144. https://doi.org/10.1186/s10033-019-0342-x
[9] Yu H, Chu C, Chatelet E. Availability optimization of a redundant system through dependency modeling[J]. Applied Mathematical Modelling, 2014, 38(19-20): 4574-4585. https://doi.org/10.1016/j.apm.2014.03.006
[10] Yao Y Z, Meng C, Wang C. Optimal preventive maintenance policies for multi-unit system considering failure interactions[J]. The International Journal of Advanced Manufacturing Technology, 2013, 19(12): 2976-2981.
[11] Nelsen R B. Copulas and Association[C].Advances in Probability Distributions with Given Marginals, Dor⁃ drecht, 1991 https://doi.org/10.1007/978-94-011-3466-8_3
[12] Wen J, Li X, Xue J. Feasibility evaluation of Copula theory for substation equipment with multiple nonlinear-related seismic response indexes[J]. Reliability Engineering & System Safety, 2024, 247: 110132. https://doi.org/10.1016/j.ress.2024.110132
[13] Wen J, Li X, Zhu Y. Improved seismic risk evaluation for high‐voltage switchgear equipment: A copula‐based framework considering joint failure modes[J]. Earthquake Engineering & Structural Dynamics, 2024, 53(2): 694-716. https://doi.org/10.1002/eqe.4041
[14] Lyu M Z, Fei Z J, Feng D C. Copula-based cloud analysis for seismic fragility and its application to nuclear power plant structures[J]. Engineering Structures, 2024, 305: 117754. https://doi.org/10.1016/j.engstruct.2024.117754
[15] Wang H, Zhang Y M, Yang Z. A reliability allocation method of CNC lathes based on copula failure correlation model[J]. Chinese Journal of Mechanical Engineering, 2018, 31(1): 1-9. https://doi.org/10.1186/s10033-018-0303-9
[16] Navarro J, Durante F. Copula-based representations for the reliability of the residual lifetimes of coherent systems with dependent components[J]. Journal of Multivariate Analysis, 2017, 158: 87-102. https://doi.org/10.1016/j.jmva.2017.04.003
[17] Liu Y, Chen Y. Dynamic Reliability Evaluation of High-speed Train Gearbox Based on Copula Function[J]. IEEE Access, 2022, 10: 51792-51803. https://doi.org/10.1109/ACCESS.2022.3174043
[18] An H, Yin H, He F. Analysis and application of mechanical system reliability model based on copula function[J]. Polish Maritime Research, 2016, 23: 187-191. https://doi.org/10.1515/pomr-2016-0064
[19] Liang H, Xie Q, He C. Seismic Performance and Aseismic Measures of ±800 kV EHV Wall Casing-Valve Hall System[C]//2019 IEEE 3rd Conference on Energy Internet and Energy System Integration (EI2). IEEE, 2019: 2246-2251. https://doi.org/10.1109/EI247390.2019.9062139