Reliability Copula Model for Wind Turbine Gearbox Based on Failure Correlation

doi:10.1007/s12204-015-1628-5

Abstract

Abstract: 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.

Key words: wind turbine gearbox| gear| failure correlation| Copula function| reliability model

摘要： 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.

关键词: wind turbine gearbox| gear| failure correlation| Copula function| reliability model

CLC Number:

TB 114.3

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.

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