基于改进局部线性嵌入算法的故障特征提取方法

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (15) : 201-204.

论文

胡峰，苏讯，刘伟，吴雨川，范良志

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Fault Feature Extraction Based on improved Locally Linear Embedding

Hu Feng, Su Xun, Liu Wei ,Wu Yuchuan, Fan Liangzhi

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摘要

针对局部线性嵌入算法在故障特征提取中易受异常特征值、邻域大小和嵌入维数等因素影响的问题,对局部线性嵌入方法的重构权值估计模型、邻域大小和嵌入维数估计模型进行改进。用互相关熵取代欧式距离用于向量相似度测量，提出基于互相关熵的重构权值估计模型，并且采用拉格朗日展开式和拉格朗日乘子法进行模型简化降低计算复杂度，达到降低异常特征值对特征提取精度影响的目的。应用准则建立邻域大小和嵌入维数的估计模型，实现参数的自动选取。将改进的局部线性嵌入方法应用于轴承故障特征提取，并与其它方法进行比较，结果表明推荐方法的特征提取精度更高。

Abstract

Focusing on the performance of local linear embedding (LLE) with respect of fault feature extraction which is influenced by the noise, embedding dimensionality and neighborhood size, it is improved form both the estimation of weight coefficient and the selection of neighborhood sizes and embedding dimensionality. The cross-correntropy is being substituted for the Euclidean distance to measure similarity of vectors. An estimation model of weight coefficient is created based on cross-correntropy. At the same time, it is simplified by the Lagrange method because of computation difficulties. The model of weight coefficient based on cross-correntropy will improve the performance of the local linear embedding and reduce the influence from noise in fault feature extraction. The Ncut criterion is employed to choosing the neighborhood sizes and embedding dimensionality. A model for choosing the parameters in a more automatic way is created. The improved LLE is employed in the fault feature extraction of rolling bearings. The experimental results for fault diagnosis of rolling ball bearings show that the proposed approach, compared with other approaches, is more effective to extract the fault features form vibration signals, and enhance the classification ability of failure pattern.

关键词

故障 / 特征提取 / 互相关熵 / 局部线形嵌入 / 嵌入维数

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胡峰，苏讯，刘伟，吴雨川，范良志. 基于改进局部线性嵌入算法的故障特征提取方法[J]. 振动与冲击, 2015, 34(15): 201-204

Hu Feng, Su Xun, Liu Wei,Wu Yuchuan, Fan Liangzhi. Fault Feature Extraction Based on improved Locally Linear Embedding[J]. Journal of Vibration and Shock, 2015, 34(15): 201-204

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