刘小峰, 刘万, 孙兵, 柏林. 基于自适应协同稀疏表示的多工况故障诊断方法[J]. 中国电机工程学报, 2021, 41(18): 6371-6380. DOI: 10.13334/j.0258-8013.pcsee.201425
引用本文: 刘小峰, 刘万, 孙兵, 柏林. 基于自适应协同稀疏表示的多工况故障诊断方法[J]. 中国电机工程学报, 2021, 41(18): 6371-6380. DOI: 10.13334/j.0258-8013.pcsee.201425
LIU Xiaofeng, LIU Wan, SUN Bing, BO Lin. Multi-operating Condition Fault Diagnosis Based on Adaptive Cooperative Sparse Representation[J]. Proceedings of the CSEE, 2021, 41(18): 6371-6380. DOI: 10.13334/j.0258-8013.pcsee.201425
Citation: LIU Xiaofeng, LIU Wan, SUN Bing, BO Lin. Multi-operating Condition Fault Diagnosis Based on Adaptive Cooperative Sparse Representation[J]. Proceedings of the CSEE, 2021, 41(18): 6371-6380. DOI: 10.13334/j.0258-8013.pcsee.201425

基于自适应协同稀疏表示的多工况故障诊断方法

Multi-operating Condition Fault Diagnosis Based on Adaptive Cooperative Sparse Representation

  • 摘要: 针对设备故障诊断中多工况与环境扰动对故障特征表征能力的影响问题,以及故障特征的个体差异性对稀疏分类精度的影响问题,提出基于自适应协同稀疏表示的多工况故障诊断方法。该方法通过各个故障特征在K-SVD稀疏表示中的重构残差构建特征稀疏分类性能的评分矩阵,以评分矩阵迭代优化后得到的权值矩阵对输入特征进行协同稀疏表示,更新字典原子与稀疏系数,使得同类故障模式下的稀疏重构误差最小化,不同类故障模式下的稀疏重构误差最大化,以增强每个样本特征的协同稀疏分类性能。该方法避免了多工况故障诊断中敏感特征筛选及特征高维映射的繁琐步骤,无需大量历史故障数据支撑,通过故障特征的自适应协同稀疏表征与稀疏分类器的加权迭代优化,建立最能表征设备故障状态的稀疏字典,有效提升了稀疏分类器对多工况设备故障的鉴别能力。滚动轴承与齿轮箱故障诊断实验结果表明,提出方法比现有的稀疏分类算法与传统的神经网络分类算法,具有更高的故障辨识精度与工况环境鲁棒性。

     

    Abstract: Aiming to the influence of multi-operating conditions and environmental disturbances on the state representation ability of fault features and the individual differences of fault features in sparse classification, a multi condition fault diagnosis method based on adaptive weighted sparse classifier was proposed. In this method, the score matrix for feature sparse classification performance was constructed by reconstruction residuals of each feature of the sample in the K-SVD sparse representation. Then the input feature samples were represented cooperatively and sparsely using the weight matrix obtained by iterative optimization of score matrix. The reconstruction dictionary and the sparse coefficients were updated to minimize the sparse reconstruction errors in the same mode and maximize the sparse reconstruction errors in the different modes to enhance the cooperative sparse classification performance of each feature. This method avoided the cumbersome steps of fault sensitive feature selecting and featured high-dimensional mapping in multi-operating conditions, and does not. Itdid not need a large number of fault data, either. Through the adaptive weighting of fault features and iterative optimization of sparse classifier, the established sparse dictionary can could best represent the fault state of equipment, which effectively improves improved the fault identification ability of sparse classifier in multi-operating conditions. The experimental results of rolling bearing and gearbox fault diagnosis showed that the proposed method has had higher identification accuracy and better environment robustness than the present sparse classifiers and the traditional neural network classifiers.

     

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