HHT端点效应的最大Lyapunov指数边界延拓方法  

HHT end effect processing method based on maximum Lyapunov index boundary extension model

作　　者：蔡艳平[1] 李艾华[1] 张玮[1,2] 许平[1,3] 

机构地区：[1]第二炮兵工程学院502教研室,西安710025 [2]西安交通大学电信学院,西安710049 [3]西安交通大学机械制造系统工程国家重点实验室,西安710049

出　　处：《仪器仪表学报》2011年第6期1330-1336,共7页Chinese Journal of Scientific Instrument

基　　金：国防预研项目(403040102);学院创新性基础研究基金(XY2009JJB33)资助项目

摘　　要：针对HHT(Hilbert-Huang transfrom)的端点效应问题,提出基于最大Lyapunov指数预测模型的HHT边界延拓方法。该方法通过相空间重构,并利用时间序列相似点的演化行为,采用最大Lyapunov指数预测模型来对时间序列的端点进行预测,有效避免了不同边界条件的三次样条插值和Hilbert变换频谱泄露对HHT分析结果产生的影响。在此基础上,为了评价所提方法的有效性,提出了IMF分量归一化相关系数和IMF分量信噪比的性能评价指标,通过与标准HHT、镜像延拓HHT的仿真对比分析,结果表明所提方法抑制端点效应的性能优于二者。最后将其应用在转子油膜涡动故障试验分析中,结果表明基于最大Lyapunov指数边界延拓的HHT分析结果比镜像延拓后的分析结果更能够准确地描述油膜涡动故障特征。Based on the end effect of HHT（Hilbert-Huang transform）,an HHT end effect processing method based on maximum Lyapunov index boundary extension model is proposed.Firstly,the method uses phase space reconstruction to compute the maximum Lyapunov index of the signal and then uses the maximum Lyapunov index boundary extension model to predict the extreme points of the signal.Secondly,as the data sequence is extended by adding some predicted points,the HHT result is computed,and then the real HHT result is obtained by deleting the outer extreme points of the result data.Thus the effects of third spline interpolation of the data and spectrum leakage of Hilbert transform on HHT analysis result are avoided under different boundary conditions.Thirdly,in order to evaluate the effectiveness of the proposed method,the performance evaluation indexes of IMF component normalized correlation coefficient and IMF signal noise ratio are proposed.Through comparing the proposed method with standard HHT and mirror extension HHT,it can be found that using maximum Lyapunov index boundary extension model,the proposed method has better performance in restraining HHT end effect than the other two methods.The proposed method was applied in oil whirl fault rotor vibration signal analysis,and results show that the HHT analysis result based on the proposed method can accurately describe oil whirl fault characteristics.

关 键 词：HHT 经验模态分解 端点效应 边界延拓 LYAPUNOV 故障诊断 

分 类 号：TK268.1[动力工程及工程热物理—动力机械及工程]