基于贝叶斯蒙特卡罗方法的智能变电站保护装置可靠性评估

Tianyu Zhang, Tiecheng Liu, Qiang Zhang, Zeqiao Ma, Jiangfeng Zhu, Tao Zhang
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引用次数: 0

摘要

为了解决智能变电站保护装置可靠性样本数据偏小的问题,本文提出了一种基于贝叶斯-蒙特卡罗理论的智能变电站保护装置可靠性评估方法。基于贝叶斯-蒙特卡罗理论的可靠性评估方法通过拟合优度检验方法建立威布尔分布作为失效分布模型,并利用蒙特卡罗方法对数据样本进行扩展。利用贝叶斯公式得到各参数的后验概率分布,并进一步计算可靠性指标。该方法解决了贝叶斯公式在威布尔分布下难以得到解析解的问题。本文为智能变电站保护装置在小样本失效数据下的可靠性评估提供了一种新的思路。
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Reliability Evaluation of Protective Devices in Smart Substations Based on Bayesian Monte Carlo Method
In order to solve the problem of small sample data for the reliability of protective devices in smart substations, this paper proposes a reliability evaluation method for smart substation protective devices based on Bayesian-Monte Carlo theory. The reliability evaluation method based on Bayesian-Monte Carlo theory establishes Weibull distribution as the failure distribution model by goodness of fit test method and uses Monte Carlo method to expand the data samples. The posterior probability distribution of the parameters is obtained by using the Bayesian formula, and the reliability index is further calculated. The method solves the problem that the Bayesian formula is difficult to obtain analytical solution under the Weibull distribution. This paper provides a new idea for the reliability evaluation of smart substation protective devices under small sample failure data.
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