DYNAMIC RELIABILITY ANALYSIS OF WIND POWER GEAR TRAIN SYSTEM BASED ON COPULA MODEL

Wen Jianmin, Zhou Jianxing, Yan Moxin, Fei Xiang, Jiang Hong, Fang Zhong

Acta Energiae Solaris Sinica ›› 2025, Vol. 46 ›› Issue (10) : 672-679.

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Acta Energiae Solaris Sinica ›› 2025, Vol. 46 ›› Issue (10) : 672-679. DOI: 10.19912/j.0254-0096.tynxb.2024-1015

DYNAMIC RELIABILITY ANALYSIS OF WIND POWER GEAR TRAIN SYSTEM BASED ON COPULA MODEL

  • Wen Jianmin1,2, Zhou Jianxing1, Yan Moxin1, Fei Xiang1, Jiang Hong1, Fang Zhong2
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Abstract

Gearbox is one of the important element for wind turbine transmission system. To analysis the overall reliability of the gearbox transmission system, the gearbox transmission system of a 2 MW wind turbine which operate in the Dabancheng wind farm in Xinjiang was studied. A stochastic wind speed model as the external excitation was established by using the annual wind speed data of the wind farm. A gear-axle-bearing dynamics model of the transmission system was referenced to solves the meshing force of gear pairs by taking time-varying mesh stiffness and transmission error as the internal excitation. The Gamma strength degradation model and correlation function of each gear were established by considering the failure modes of contact and bending. Based on introducing the influence of time variable into the basic Copula model and selecting multiple Copula functions, the corresponding mixed Copula model was developed according to the joint distribution of different gear performance functions. In order to obtain the dynamic reliability of each gear part in the transmission system, a genetic algorithm was used to solve the unknown parameters in the mixed Copula model. The results of study has significant instruction for the maintenance of wind turbines.

Key words

wind turbine / gear transmissions / stochastic model / correlation method / reliability / Copula

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Wen Jianmin, Zhou Jianxing, Yan Moxin, Fei Xiang, Jiang Hong, Fang Zhong. DYNAMIC RELIABILITY ANALYSIS OF WIND POWER GEAR TRAIN SYSTEM BASED ON COPULA MODEL[J]. Acta Energiae Solaris Sinica. 2025, 46(10): 672-679 https://doi.org/10.19912/j.0254-0096.tynxb.2024-1015

References

[1] 许华超, 柏厚义, 秦大同, 等. 风电机组行星齿轮-滚动轴承耦合系统动态特性研究[J]. 太阳能学报, 2023, 44(8): 477-484.
XU H C, BAI H Y, QIN D T, et al.Research on dynamic characteristics of planetary gear-rolling bearing coupling system of wind turbines[J]. Acta energiae solaris sinica, 2023, 44(8): 477-484.
[2] 孙伟, 李想, 魏静, 等. NW型大功率风电增速器行星传动均载性能研究[J]. 大连理工大学学报, 2015, 55(3): 271-280.
SUN W, LI X, WEI J, et al.Research on load sharing characteristics of planetary transmission for NW high-power wind turbine gearbox[J]. Journal of Dalian University of Technology, 2015, 55(3): 271-280.
[3] 李宏仲, 周玉龙. 考虑强度退化的海上风机齿轮结构可靠性评估方法[J]. 中国电机工程学报, 2023, 43(13): 5037-5049.
LI H Z, ZHOU Y L.Reliability assessment method for offshore wind turbine gear structures considering strength degradation[J]. Proceedings of the CSEE, 2023, 43(13): 5037-5049.
[4] YU X S, YU T X, SONG K L, et al.RETRACTED: reliability analysis of mechanical components based on a nonlinear fatigue damage accumulation model[J]. International journal of damage mechanics, 2019, 28(8): 1135-1149.
[5] ZHANG Q, WEN G, CHEN Z X, et al.Sensitivity analysis contact reliability of VH-CATT cylindrical gear and its reliability with material strength degradation[J]. International journal of foundations of computer science, 2022, 33(6/7): 691-716.
[6] LIU Y M, HU T, CHEN Y, et al.Dynamic fatigue analysis of high-speed trains gearbox using copula function[J]. Mathematical problems in engineering, 2022, 2022(1): 1088747.
[7] LUO Z H, LIU C L, LIU S.A novel fault prediction method of wind turbine gearbox based on pair-copula construction and BP neural network[J]. IEEE access, 2020, 8: 91924-91939.
[8] 赵成. 风电齿轮剩余强度退化模型及可靠性分析[D]. 兰州: 兰州理工大学, 2022.
ZHAO C.Remaining strength degradation model and reliability analysis of wind turbine[D]. Lanzhou: Lanzhou University of Technology, 2022.
[9] 宋礼睿, 崔权维, 周建星, 等. 风电齿轮箱高速轴轴承疲劳寿命及动态可靠性分析[J]. 太阳能学报, 2023, 44(8): 437-444.
SONG L R, CUI Q W, ZHOU J X, et al.High speed bearing fatigue life and reliability analysis of wind turbine gearbox under random load[J]. Acta energiae solaris sinica, 2023, 44(8): 437-444.
[10] 王胜男, 阿达依·谢尔亚孜旦, 章翔峰, 等. 考虑轴柔性的二级齿轮减速器振动噪声研究[J]. 西安交通大学学报, 2020, 54(9): 117-127.
WANG S N, ADAYI X, ZHANG X F, et al.Vibration and noise analysis for two-stage gear reducer considering shaft flexibility[J]. Journal of Xi’an Jiaotong University, 2020, 54(9): 117-127.
[11] 凯利S M. 机械振动[M]. 北京: 科学出版社, 2002.
Kelly S M.Mechanical vibrations[M]. Beijing: Science Press, 2002.
[12] 刘惟信. 机械可靠性设计[M]. 北京: 清华大学出版社, 1996.
LIU W X.Mechanical reliability design[M]. Beijing: Tsinghua University Press, 1996.
[13] 高建雄, 安宗文, 马强. 随机载荷下风电叶片疲劳寿命及可靠性试验评估[J]. 兰州理工大学学报, 2019, 45(4): 38-42.
GAO J X, AN Z W, MA Q.Experimental evaluation of fatigue life and reliability of wind turbine blade subjected to random load[J]. Journal of Lanzhou University of Technology, 2019, 45(4): 38-42.
[14] 田和鑫. 风电齿轮箱的性能退化建模与可靠性分析[D]. 成都: 电子科技大学, 2021.
TIAN H X.Performance degradation modeling and reliability analysis of wind turbine gearbox[D]. Chengdu: University of Electronic Science and Technology of China, 2021.
[15] 李霞. COPULA方法及其应用[M]. 北京: 经济管理出版社, 2014.
LI X.COPULA method and its application[M]. Beijing: Economy & Management Publishing House, 2014.
[16] 邓哲. 考虑失效模式相关时循环水泵齿轮箱可靠性分析[D]. 成都: 电子科技大学, 2023.
DENG Z.Reliability analysis on circulating water pump gearbox considering failure mode correlation[D]. Chengdu: University of Electronic Science and Technology of China, 2023.
[17] 安宗文, 高建雄, 刘波. 基于P-S-N曲线的强度退化随机模型[J]. 计算力学学报, 2015, 32(1): 118-122.
AN Z W, GAO J X, LIU B.Stochastic model of strength degradation based on P-S-N curve[J]. Chinese journal of computational mechanics, 2015, 32(1): 118-122.
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