基于高维随机矩阵和雷达图的真空断路器健康度综合评估  

Comprehensive evaluation of vacuum circuit breaker health based on high dimensional random matrix and radar chart

作　　者：王俊波 唐琪 李国伟 WANG Junbo;TANG Qi;LI Guowei(Foshan Power Bureau,Guangdong Power Grid Co.,Ltd.,Foshan 528000,China)

机构地区：[1]广东电网有限责任公司佛山供电局,广东佛山528000

出　　处：《武汉大学学报（工学版）》2024年第6期837-845,共9页Engineering Journal of Wuhan University

基　　金：广东电网有限责任公司科技项目(编号:GDKJXM20182372)。

摘　　要：提出了一种基于高维随机矩阵和雷达图法的真空断路器健康度综合评估方法。该方法采用随机扰动法和卡尔曼滤波器对试验数据样本进行扩展,并构建高维随机矩阵;充分利用高维随机矩阵的性质,根据单环定理观测多特性参数测试数据变化,判断是否需要对真空断路器健康度进行评估;基于所提出的记忆型分离窗获取相对出厂各特性参数测试数据的平均谱半径变化趋势,将各特性参数指标统一到具有同一尺度的平均谱半径并将其作为健康度综合评估指标,以保证各特性参数对真空断路器整体健康度影响的客观性;采用平均谱半径比值绘制真空断路器健康度评估雷达图,提出了基于平均谱半径比值绝对偏差和与面积比的数学评估模型,解决了评估对象较多且各特性参数指标发展不均衡的问题。应用实例表明,该方法能准确有效地观测特性参数测试数据的实质性变化,避免人为判断的主观性和盲目性;采用平均谱半径作为真空断路器整体健康度综合评估指标,可将各特性参数对其健康度影响评估建立在同一尺度上,使得其整体健康度综合评估结果更具科学性和客观性。A comprehensive health assessment method of vacuum circuit breaker based on high dimensional random matrix and radar chart method is proposed in this paper.The test data sample is extended by stochastic perturbation and Kalman filter to build a high-dimensional random matrix.According to the properties of highdimensional random matrices,the single-ring law is used to observe the changes of multiple characteristic parameters test data in order to judge whether the health level of vacuum circuit breaker is required to be assessed.The change trend of the mean spectral radius relative to the test data of each characteristic parameter is obtained from the proposed memory separation window.Each characteristic parameter is unified to the mean spectral radius with the same scale as a comprehensive health assessment index so as to ensure the objectivity of the influence of each characteristic parameter on the overall health of the vacuum circuit breaker.The health level evaluation radar chart of vacuum circuit breaker is drawn by using the mean spectral radius ratio,and a mathematical evaluation model is proposed based on the absolute deviation sum of mean spectral radius ratio and the ratio of area to solve the problem that there are many evaluation objects and the unbalanced development of each characteristic parameter.The application examples show that the method can accurately and effectively observe the substantial changes of the characteristic parameter test data and avoid the subjectivity and blindness of human judgment.By using the mean spectral radius as the overall health level evaluation index of the vacuum circuit breaker,the impact of each characteristic parameter on the health of the vacuum circuit breaker can be evaluated on the same scale,which makes the overall health level evaluation results of vacuum circuit breaker more scientific and objective.

关 键 词：真空断路器 健康度评估 高维随机矩阵 雷达图 单环定理 平均谱半径 

分 类 号：TM712[电气工程—电力系统及自动化]