关联维数无标度区确定方法及诊断应用  

Determination method and diagnosis application of non-scale range of correlation dimension

作　　者：李奎为[1] 胡瑾秋[1] 张来斌[1] 王朝晖[1] 段礼祥[1] 

机构地区：[1]中国石油大学(北京)机电工程学院

出　　处：《石油机械》2007年第4期43-45,71,共3页China Petroleum Machinery

基　　金：教育部新世纪优秀人才支持计划资助项目;中国石油天然气集团公司创新基金资助项目

摘　　要：针对不规则分形关联维数求解过程中线性无标度区不易寻找、计算的问题,提出一种确定关联维数的新方法,即采用点间斜率远离均值剔除算法确定线性无标度区间,然后用最小二乘法进行直线拟合,求得无标度区的斜率,即关联维数。把该方法应用于离心式外输泵分形维数特征提取中,求得的关联维数能很好地区分泵正常工作状态和不同的故障状态。A new method for determining the correlation dimension is put forward to solve the problem of difficult locating and calculating of linear non-scale range in the solution of irregular fractal correlation dimension. That is, the removing method of inter-point slope faraway from average value is used to determine the non-scale range, then the least square fitting method is used to calculate the slope of the line, namely, the correlation dimension. By using the method to extract the fractal feature of centrifugal pump, the obtained correlation dimension can satisfactorily differentiate the normal operating condition and different failure condition of the pump.

关 键 词：关联维数 无标度区 确定 故障诊断 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]