The Single-channel blind source separation based on VMD and Tukey M estimation for rolling bearing composite fault diagnosis

Yaping Wang, Qisong Zhang, Ruofan Cao, Shenmin Zhang, Shisong Li, Di Xu
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Abstract

Rolling bearing is one of the core components in rotating machinery, and its running status directly affects the operation of the whole equipment. Faults of rolling bearings in the actual working process are often multiple faults. To effectively separate fault sources, the blind source separation method is used for the compound fault diagnosis of rolling bearings. Because of the impact of the number of artificially limited decompositions and quadratic penalty factor on VMD in the decomposition process, and the slow convergence and low accuracy in the objective function of traditional FastICA operation, the VMD algorithm based on the energy loss coefficient and the information entropy is proposed, which adaptively determines the number of modal components and the quadratic penalty factor; The Tukey M estimation is selected as the objective convergence function of the FastICA algorithm to improve its robustness. First, VMD is used to decompose the signal; Secondly, the original signal and the decomposed IMF component are reconstructed, the covariance matrix and the singular value decomposition are constructed, the number of fault sources is estimated by the proximity dominance method, and the decomposed IMF components are filtered through correlation analysis and kurtosis index to build a multi-channel feature set; Finally, the constructed multi-channel feature set is input to the FastICA algorithm based on the Tukey M estimation for the separation of fault source signals to achieve composite fault diagnosis. The compound fault experiment shows that the proposed method in this paper can effectively realize the blind source separation of rolling bearing fault features to realize the compound fault diagnosis in different positions.
基于VMD和Tukey M估计的单通道盲源分离滚动轴承复合故障诊断
滚动轴承是旋转机械中的核心部件之一,其运行状态直接影响到整个设备的运行。滚动轴承在实际工作过程中的故障往往是多重故障。为了有效地分离故障源,将盲源分离方法用于滚动轴承的复合故障诊断。针对分解过程中人为限制分解次数和二次惩罚因子对VMD的影响,以及传统FastICA算法目标函数收敛速度慢、精度低的问题,提出了基于能量损失系数和信息熵的VMD算法,自适应确定模态分量个数和二次惩罚因子;选取Tukey M估计作为FastICA算法的目标收敛函数,提高算法的鲁棒性。首先,利用VMD对信号进行分解;其次,对原始信号和分解后的IMF分量进行重构,构造协方差矩阵和奇异值分解,采用邻近优势度法估计故障源数量,并通过相关分析和峰度指数对分解后的IMF分量进行滤波,构建多通道特征集;最后,将构造好的多通道特征集输入到基于Tukey M估计的FastICA算法中进行故障源信号分离,实现复合故障诊断。复合故障实验表明,本文提出的方法可以有效地实现滚动轴承故障特征的盲源分离,实现不同位置的复合故障诊断。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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