• CN:11-2187/TH
  • ISSN:0577-6686

›› 2014, Vol. 50 ›› Issue (5): 57-64.

• 论文 • 上一篇    下一篇

多元消减约束独立分量分析及其在振源贡献量计算中的应用

张杰;张周锁;朱冠汶;陈彬强;成玮;何正嘉   

  1. 西安交通大学机械制造系统工程国家重点实验室
  • 发布日期:2014-03-05

Multi-unit Deflation Constraint Independent Component Analysis and Its Application to Source Contribution Estimation

ZHANG Jie;ZHANG Zhousuo;ZHU Guanwen;CHEN Binqiang;CHENG Wei;HE Zhengjia   

  1. State Key Laboratory for Manufacturing and System Engineering, Xi’an Jiaotong University
  • Published:2014-03-05

摘要: 为寻找机械系统的主要振源,提出一种利用多元消减约束独立分量分析(Multi-unit deflation constraint independent component analysis, MDcICA)估计振源贡献量的方法。约束独立分量分析(Constraint independent component analysis, cICA)在经典独立分量分析(Independent component analysis, ICA)算法的对照函数中利用约束的形式引入源信号先验知识,提高独立分量的精度和算法的稳定性,并能够得到独立分量和振源信号的对应关系。在cICA中引入多元消减技术,去除混合信号中每次迭代被提取的独立分量的成分。多元消减过程中混合信号能量的减少量等于被提取独立分量对混合信号的贡献量。将提出的算法引入到壳体激励试验台和圆筒结构试验台中,成功地完成了试验台机械振源的分离和贡献量的计算。

关键词: 约束独立分量分析;对照函数;先验知识;贡献量计算, 调优规则, 对数递减粒子群算法, 锅炉, 汽轮机, 热电厂, 数学建模, 蒸汽动力系统

Abstract: To obtain the main vibration sources of the mechanical systems, the method to estimate the contributions of the vibration sources via multi-unit deflation constraint independent component analysis (cICA) is proposed. In cICA, the prior knowledge of the source signals is introduced to the contrast function of the traditional independent component analysis (ICA) as constraints, which can not only improve the accuracy of the independent components and the robustness of the algorithm, but also obtain the corresponding relationships between the independent components and the vibration sources. To remove the components in mixed signals, which corresponds to the independent component extracted at each iteration, the multi-unit deflation approach is introduced to the cICA. In multi-unit deflation, the energy reduction of the mixed signals corresponds to the contribution of the extracted independent component. The proposed algorithm is applied to the shell excitation test bench and the cylindrical structure test bench, and then the mechanical vibration source separation and contribution calculation of the test benches are successfully completed.

Key words: constraint independent component analysis;contrast function;prior knowledge;source contribution computation, particle swarm optimization based on logarithmic decrement, adjustment rules, boiler, mathematical modeling, steam power system, thermoelectric power plant, turbine

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