Electric Power ›› 2019, Vol. 52 ›› Issue (12): 97-104.DOI: 10.11930/j.issn.1004-9649.201909005

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Hierarchical Bayesian Reliability Model for Wind Turbines with Small Fault Sample Sets

WANG Dameng, MA Zhiyong, LIU Yibing, TENG Wei   

  1. Key Laboratory of Condition Monitoring and Control for Power Plant Euipment, Ministry of Education, North China Electric Power University, Beijing 102206, China
  • Received:2019-09-02 Revised:2019-10-12 Published:2019-12-05
  • Supported by:
    This work is supported by the National Natural Science Foundation of China (Intelligent Fault Diagnosis and Life Prediction of Wind Turbine Flock in Semi-supervised Environment, No.51775186)

Abstract: It is beneficial to improve the health management level of the full-life-cycle of wind turbines through establishing the reliability model for wind turbine and estimating its parameter accurately. As the fault sample size of new constructed wind turbines is small, traditional reliability modeling and parameter estimation methods with large sample sets are no longer applicable. This paper applies Bayesian reliability theory to reliability modeling and parameter estimation of wind turbine with small fault sample sets. Based on the fault samples from other wind farms as the priori information of the model parameters. A hierarchical Bayesian reliability model is established. Then the proposed model is solved by the Gibbs algorithm and the posterior distribution of the model parameters is obtained. The normalized root mean square error and the mean width of 95% confidence interval of reliability function are chosen as measurement indices. The comparison of the modeling precision among the traditional reliability model, general Bayesian reliability model and hierarchical Bayesian reliability model are performed. Finally, the generator carbon brushes from various wind farms is taken as an sample to demonstrate the superiority of the hierarchical Bayesian reliability model with small fault sample sets.

Key words: wind turbine, reliability modeling, parameter estimation, condition of small sample size, hierarchical Bayesian reliability model

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