On the basis of each gear’s failure correlation, the reliability Copula model of a wind turbine gearbox
is established and a 1.5MW wind turbine gearbox is taken as the research object. Firstly, based on the dynamic
reliability model of mechanical parts, each gear’s life distribution function of a wind turbine gearbox is obtained.
The life distribution function can be used as the marginal distributions of the system’s joint distribution. Secondly,
Copula function is introduced to describe the failure correlation between parts, and the appropriate Copula
function is selected according to the shape characters of Copula probability density function. Finally, the wind
turbine gearbox system is divided into three parts according to the failure correlation of each gear. The Sklar
theorem and the thought of step by step analysis are used to obtain the reliability Copula model for a wind turbine
gearbox based on failure correlation.
AN Zong-wen1* (安宗文), ZHANG Yu1 (张宇), WANG Zhong-lai2 (汪忠来)
. Reliability Copula Model for Wind Turbine Gearbox Based on Failure Correlation[J]. Journal of Shanghai Jiaotong University(Science), 2015
, 20(3)
: 312
-316
.
DOI: 10.1007/s12204-015-1628-5
[1] Wang Jing-jing, Wu Xiao-ling. The development and technical analysis of wind turbine gearbox [J]. Mechanical Transmission, 2008, 32(6): 5-8 (in Chinese).
[2] Levitin G. Incorporation common-cause failures into nonrepairable multistate series-parallel system analysis[J]. IEEE Transactions on Reliability, 2001, 50(4):380-388.
[3] Ramirez-Marquez J E, Coit D W. Optimization of system reliability in the presence of common cause failures [J]. Reliability Engineering and System Safety,2007, 92: 1421-1434.
[4] Yelure B S, Suket C D. Availability modeling and cost optimization of grid rms with failure correlation[J]. International Journal of Engineering Science and Technology, 2013, 5(4): 134-141.
[5] Wang Zheng, Kang Rui, Xie Li-yang. Reliability modeling of systems with dependent failure when the life measured by the number of loadings [J]. Journal of Mechanical Engineering, 2010, 46(6): 188-194 (in Chinese).
[6] Xie K, Li Y, Li W. Modeling wind speed dependence in system reliability assessment using copulas [J]. Renewable Power Generation, 2012, 6(6): 392-399.
[7] Ram M, Singh S B. Analysis of reliability characteristics of a complex engineering system under Copula[J]. Journal of Reliability and Statistical Studies, 2009,2(1): 91-102.
[8] Serkan E. Estimation in coherent reliability systems through Copulas [J]. Reliability Engineering and System Safety, 2011, 96(5): 564-568.
[9] Wei Yan-hua, Zhang Shi-ying. Copula theory and its application in financial analysis [M]. Beijing: Tsinghua University Press, 2008 (in Chinese).
[10] Nelsen R B. An introduction to Copulas [M]. New York: Springer-verlag, 2006.
[11] Yi Wen-de. Financial risk dependency structure model and application based on Copulas theory [M]. Beijing:China Economic Press, 2011 (in Chinese).
