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Stator current model for detecting rolling bearing faults in induction motors using magnetic equivalent circuits

机译：定子电流模型，用于利用磁等效电路检测感应电动机中的滚动轴承故障

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Stator current modeling for defective induction motor rolling bearings (IMRBs) based on magnetic equivalent circuits (MEC) is carried out. A dynamic model of rotor system supported by defective IMRBs is established to numerically obtain the non-uniform time-varying air gap length. MEC modeling of a induction motor (IM) is then conducted and a magnetic equivalent network is formed by connecting the flux tubes with nodes. After considering the nonlinear air gap permeance, nonlinear iron material and magnetic saturation, an iterative numerical integration method is proposed to solve the stator current model. Finite element analysis and dynamic tests on a typical IM are carried out for verification. Based on these, the fault characteristic frequencies in stator current spectra are, respectively, identified for outer race spall, inner race spall and ball spall. Fault-related frequencies are basically represented by the combinations between the passing frequency (outer race, inner race or ball), its harmonics and power supply frequency. Due to the modulation of rotor (or cage) rotation, higher harmonics of rotor frequency (or cage frequency) participate in the fault-related frequencies of the inner race (or ball) spall. Some fault-related frequencies, which might be more suitable for condition monitoring of induction motors, are recommended by comparing the slope of each spectral amplitude varying with spall width. (C) 2019 Elsevier Ltd. All rights reserved.
机译：基于电磁等效电路（MEC）对感应电动机滚动轴承（IMRB）进行了定子电流建模。建立有缺陷的IMRB支撑的转子系统动力学模型，以数值方式获得不均匀的时变气隙长度。然后进行感应电动机（IM）的MEC建模，并通过将通量管与节点连接而形成磁等效网络。在考虑了非线性气隙磁导，非线性铁材料和磁饱和之后，提出了一种迭代数值积分方法来求解定子电流模型。在典型的IM上进行了有限元分析和动态测试以进行验证。基于这些，分别确定定子电流频谱中的故障特征频率，用于外圈剥落，内圈剥落和滚珠剥落。故障相关的频率基本上由通过频率（外圈，内圈或球），其谐波和电源频率之间的组合表示。由于转子（或保持架）旋转的调制，转子频率（或保持架频率）的高次谐波参与了内圈（或滚珠）剥落的故障相关频率。通过比较随频谱宽度变化的每个频谱幅度的斜率，建议使用一些与故障相关的频率，这些频率可能更适合于感应电动机的状态监测。 （C）2019 Elsevier Ltd.保留所有权利。

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