磁悬浮球形飞轮不平衡振动前馈抑制与实验

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摘要针对磁悬浮球形飞轮转子存在的不平衡振动，建立磁轴承-球形转子动力学模型，提出了一种不平衡振动前馈抑制方法。依据达朗伯原理，将转子不平衡质量矩等效至转子两端配重面，得到了转子两端的轴承动反力。为维持球面磁极气隙的球壳形状，消除磁拉偏负力矩，将高速转子球心与定子球心始终重合。分析了转子质心偏离旋转轴引起的离心力，计算了转子质心偏离球心后，因电磁悬浮力始终指向转子球心而引起的偏转负力矩。仿真结果表明：转速为8000 r/min，转子两配重面内不平衡质量矩处于对角位置且大小相等时，对转子施加前馈抑制，转子径向振幅从13.8 μm减少至3.3 μm，减少约76.1％，轴向振幅从21.6 μm减少至5.6 μm，减少约74.1％。实验结果与仿真结果一致，验证了转子不平衡振动模型的正确性和前馈抑制方法的有效性。

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	刘强1
	尹兆京1
	吴波1
	任元2
	辛朝军2
	樊亚洪3

关键词 ：磁悬浮球形飞轮, 磁轴承, 不平衡振动, 前馈, 仿真

Abstract：Aiming at the unbalance vibration of a magnetic bearing spherical flywheel rotor, an unbalance vibration feedforward restraint method was presented by establishing the dynamic model of its spherical rotor-magnetic bearing.Based on the D’Alembert’s principle, the unbalance mass moments was equivalent to two counterweights on the end planes of rotor, and the dynamic reaction of the magnetic bearing was obtained.To keep the shell gap its spherical configuration between stator and rotor and relieve the negative magnetic deflection moment induced by non-uniform magnetic field, the sphere centers of the rotor was made always coinciding with that of the stator.The centrifugal force caused by the deviation between the rotor mass center and spin axis was analysed.Considerning the electromagnetic levitation force always pointing to the sphere center, the caused negative moment was also calculated when the rotor mass center deviates from the rotor sphere center.When the two unbalance mass moments with phase difference of π were identical, the feedforward restraint simulations were implemented at the speed of 8 000 r/min.The results show that the rotor’s radial and axial amplitudes decrease from 13.8 μm and 21.6 μm to 3.3 μm and 5.6 μm, which are reduced by 76.1% and 74.1%, respectively.The tests results have a good agreement with those of the simulations, which indicates the dynamic model is correct and feedforward restraint method is effective.

Key words： magnetic bearing spherical flywheel magnetic bearing unbalance vibration feedforward simulation

收稿日期: 2017-10-12 出版日期: 2019-05-15

引用本文:

刘强1, 尹兆京1, 吴波1, 任元2, 辛朝军2, 樊亚洪3. 磁悬浮球形飞轮不平衡振动前馈抑制与实验[J]. 振动与冲击, 2019, 38(10): 92-97.
LIU Qiang1, YIN Zhaojing1, WU Bo1, REN Yuan2, XIN Chaojun2, FAN Yahong3. Unbalance vibration feedforward restraint and experiments for a magnetic bearing spherical flywheel. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(10): 92-97.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I10/92

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