Research of the Method of Determining k Value in VMD based on Kurtosis

Wu Wenxuan; Wang Zhijian; Zhang Jiping; Ma Weijin; Wang Junyuan

doi:10.16578/j.issn.1004.2539.2018.08.030

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Research of the Method of Determining k Value in VMD based on Kurtosis

更新时间：2022-10-20

- Research of the Method of Determining k Value in VMD based on Kurtosis
- Vol. 42, Issue 8, Pages: 153-157(2018)
- 作者机构：
  
  1. 中北大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2018.08.030
  CLC：
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[1]吴文轩,王志坚,张纪平,马维金,王俊元.基于峭度的VMD分解中k值的确定方法研究[J].机械传动,2018,42(08):153-157.

Wu Wenxuan, Wang Zhijian, Zhang Jiping, et al. Research of the Method of Determining k Value in VMD based on Kurtosis. [J]. 42(8):153-157(2018)
[1]吴文轩,王志坚,张纪平,马维金,王俊元.基于峭度的VMD分解中k值的确定方法研究[J].机械传动,2018,42(08):153-157. DOI： 10.16578/j.issn.1004.2539.2018.08.030.

Wu Wenxuan, Wang Zhijian, Zhang Jiping, et al. Research of the Method of Determining k Value in VMD based on Kurtosis. [J]. 42(8):153-157(2018) DOI： 10.16578/j.issn.1004.2539.2018.08.030.

摘要

在变分模态分解（Variational mode decomposition,VMD）中,因为分解层数k值属于自定义变量,所以在取值时分解结果会随着k值的变化而得到不同的结果,k值的取值直接影响着结果的准确性,k值取得过大或者过小都会对结果造成影响。基于以上问题,提出了一种利用峭度确定k值的方法。选取k值为2,n,的整数,计算当k值为2,n,时,每一个k值相关系数最大分量的峭度,并绘制峭度的变化曲线,若在该曲线内峭度没有峰值且单调递增,则继续计算当k为n+1时相关系数最大分量的峭度值,重复以上步骤,以峭度最大作为优化的标准,当峭度最大的时候,k为最佳值。用实际故障信号验证了方法的可行性,为VMD方法的研究提出了一种新的思路。

Abstract

In Variational Mode Decomposition（ VMD）,k belongs to the custom variable,the decomposition result will be different with the change of k,k directly affects the accuracy of the result,which too large or too small will affect the results. Basis on the question above,a method of determining k by kurtosis is proposed. Selecting an integer value of k between 2 and n,every k kurtosis of the maximum correlation coefficient is calculated,and the variation curve of kurtosis is plotted. If the kurtosis of the curve has no peak and monotonically increases,calculating the kurtosis of k is n+1,repeat the steps above. The maximum kurtosis is used as the criterion of optimization,when the kurtosis is maximum,the k is the best. The feasibility of the method is verified by the actual fault signal,a new thinking of the research for VMD is proposed.

关键词

变分模态分解分解层数峭度故障诊断

Keywords

Variational mode decompositionDecomposition layerKurtosisFault diagnosis

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