基于Littlewood-Paley小波支持向量机的故障诊断

汤宝平;李锋;陈仁祥

振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 128-131.

PDF(1301 KB)
PDF(1301 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 128-131.
论文

基于Littlewood-Paley小波支持向量机的故障诊断

  • 汤宝平; 李锋; 陈仁祥
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FAULT DIAGNOSIS BASED ON LITTLEWOOD-PALEY WAVELET SUPPORT VECTOR MACHINE

  • TANG Bao-Ping; LI Feng; CHEN Ren-Xiang
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摘要

提出一种基于Littlewood-Paley小波支持向量机(LPWSVM)的旋转机械故障诊断模型。首先将故障信号EMD分解为平稳IMF分量,再选择表征故障调制特征的IMF分量并构造瞬时幅值Shannon熵作为故障特征矢量输入到LPWSVM中进行故障识别。EMD分解可自适应分离故障调制信号;瞬时幅值Shannon熵矢量的不同拉大了各类故障的互异性;Littlewood-Paley小波核是一种具有平移正交性的多维允许支持向量核函数,可以其正交性逼近二次可积空间上的任意函数,具有良好的非线性映射能力,因而LPWSVM在同等条件下比一般最小二乘支持向量机的学习精度和自适应识别能力要高,更适用于故障诊断等复杂模式识别问题。一个滚动轴承故障诊断实例说明该模型的有效性。

Abstract

A new fault diagnosis model is proposed based on Littlewood-Paley wavelet support vector machine(LPWSVM): firstly, fault vibration signals are decomposed into several stationary IMFs, then the instantaneous amplitude Shannon entropy of the IMFs which have fault modulation characteristics is computed and regarded as the input characteristic vector of LPWSVM for fault classification. EMD decomposition adaptively isolates fault modulation signals from original signals. The distinction among instantaneous amplitude Shannon entropy vectors enlarge the differences among fault types. Littlewood-Paley wavelet kernel is a new multivariable support vector kernel function,which has orthonormal feature, and can approximate almost any function in quadratic continuous integral space. Thus it has favorable nonlinear mapping ability. Compared with LS-SVM under the same conditions, the learning precision and adaptive diagnosis capacity are improved by LPWSVM. Therefore,it will be more suitable for complicated pattern recognition. The rolling-bearings fault diagnosis example proves the effectivity of this new model.

关键词

非线性映射 / Littlewood-Paley小波核 / LPWSVM / 瞬时幅值Shannon熵 / 故障诊断

Key words

Nonlinear mapping / Littlewood-Paley wavelet kernel / LPWSVM / Instantaneous amplitude Shannon entropy / Fault diagnosis

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导出引用
汤宝平;李锋;陈仁祥. 基于Littlewood-Paley小波支持向量机的故障诊断[J]. 振动与冲击, 2011, 30(1): 128-131
TANG Bao-Ping;LI Feng;CHEN Ren-Xiang. FAULT DIAGNOSIS BASED ON LITTLEWOOD-PALEY WAVELET SUPPORT VECTOR MACHINE [J]. Journal of Vibration and Shock, 2011, 30(1): 128-131

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