基于小样本退化数据的低压直流断路器热脱扣器寿命预测

Life Prediction of Low-voltage DC Circuit Breaker Thermal Trip Based on Small Sample Degradation Data

  • 摘要: 低压直流断路器的热脱扣器具有可靠性高、寿命长的特点,因此可获得的失效数据很少。为了确保低压配电系统的安全运行,需要对热脱扣器进行寿命预测与可靠性的评估。以温度作为加速应力对热脱扣器进行加速退化试验,利用获得的小样本退化数据外推得到热脱扣器的伪失效寿命,其伪失效寿命经K-S检验,服从双参数威布尔分布。然后基于Bayes建立热脱扣器的寿命预测模型并对其进行寿命预测。采用灰色马尔科夫模型对小样本寿命数据进行扩充,将其作为先验信息;通过基于Gibbs抽样的马尔科夫链蒙特卡洛(Markov chain Monte Carlo,MCMC)算法对寿命预测模型进行后验分布的参数估计。最后,根据Arrhenius加速模型外推出正常应力下热脱扣器的寿命大约为3 047天,并通过模型推出的伪失效寿命与试验结果对比验证预测模型的有效性。

     

    Abstract: The thermal trip of low-voltage DC circuit breakers are characterized by high reliability and long life, so there is little failure data available. In order to ensure the safe operation of low-voltage distribution systems, life prediction and reliability assessment of thermal breakers are required. Accelerated degradation test is carried out on the thermal release as an accelerating stress, and the pseudo-failure life of the thermal release is extrapolated by using the obtained small-sample degradation data, and its pseudo-failure life obeys the two-parameter Weibull distribution by K-S test. Then the life prediction model of the thermal disconnectors is established based on Bayes and its life prediction is carried out. The gray Markov model is used to expand the small-sample life data as a priori information; the parameters of the posterior distribution of the life prediction model are estimated by the Markov chain Monte Carlo (MCMC) algorithm based on Gibbs sampling. Finally, the lifetime of the thermal disconnectors under normal stress is introduced externally based on the Arrhenius accelerated model to be approximately 3 047 days.

     

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