基于机电耦合动力学的3K行星轮系裂纹故障电流信号研究

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摘要考虑3K行星轮系内部时变啮合刚度、阻尼、齿侧间隙、综合啮合误差等非线性因素和电机-减速器系统内部机-电-磁耦合效应，建立了电驱动3K-II型行星传动系统机电耦合动力学模型。并基于该模型，计算了5种裂纹故障情况下各齿轮副随转角变化的时变啮合刚度，得到了不同齿轮裂纹故障情况下的定子电流仿真信号。通过时移叠加去工频频谱和包络解调谱对电流信号进行了分析。结果表明：定子电流信号受故障特征的频域调制作用，且出现的边带成分中包含供电频率负值；定子电流信号受故障特征的幅值调制作用，在包络解调谱中，齿轮故障表现为在故障频率及其倍频处出现峰值；太阳轮故障在定子电流频谱边带和包络谱中虽能识别，但相较于其他齿轮故障，表现不够明显。通过机电耦合模型得到的分析结果与通过AM-FM数学模型分析结果吻合，表明提出的机电耦合模型的合理性，可为研究3K行星轮系各类齿轮故障情况下的电机定子电流信号提供理论指导。
关键词：3K行星轮系；机电耦合动力学建模；定子电流信号；故障诊断

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	桑萌1
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	黄康1
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	熊杨寿1
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关键词 ： 3K行星轮系, 机电耦合动力学建模, 定子电流信号, 故障诊断

Abstract：Considering the nonlinear factors such as time-varying meshing stiffness, damping, tooth side clearance, comprehensive meshing error inside the 3K planetary gear system and the machine-electric-magnetic coupling effect inside the motor-reducer system, an electromechanical coupling dynamics model of the electrically driven 3K-II planetary drive system was established. Based on this model, the time-varying meshing stiffness of each gear pair with the change of rotation angle under five crack fault cases was calculated, and the simulated signals of stator currents under different gear crack fault cases were obtained. The current signals were analyzed by time-shifted superimposed de-working frequency spectrum and envelope demodulation spectrum. The results show that the stator current signal is frequency modulated by the fault characteristic, and the sideband component contains negative values of the supply frequency; the stator current signal is amplitude modulated by the fault characteristics, and there is a peak at the fault frequency and its multiples in the envelope demodulation spectrum; although the sun gear fault can be identified in the stator current frequency spectrum sidebands and envelope spectrum, the performance is not obvious enough compared to other gear faults. The analysis results obtained by the electromechanical coupling model are consistent with those obtained by the AM-FM mathematical model, indicating the reasonableness of the electromechanical coupling model proposed, which can provide theoretical guidance for the study of the motor stator current signals under various types of gear faults in the 3K planetary gear set.
Key words: 3K planetary gear set; electromechanical coupling dynamics modeling; stator current signal; fault diagnosis

Key words： 3K planetary gear set electromechanical coupling dynamics modeling stator current signal fault diagnosis

收稿日期: 2021-06-29 出版日期: 2022-11-15

引用本文:

桑萌1，2，黄康1，2，熊杨寿1，2. 基于机电耦合动力学的3K行星轮系裂纹故障电流信号研究[J]. 振动与冲击, 2022, 41(21): 129-139.
SANG Meng1,2, HUANG Kang1,2, XIONG Yangshou1,2. Stator current signal under gear crack fault mode of 3K planetary gear set based on electromechanical coupling dynamics model. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(21): 129-139.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I21/129

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