磁悬浮反作用飞轮磁轴承动反力分析及实验

针对磁悬浮反作用飞轮转子系统,提出了一种描述混合磁轴承动反力的新模型.基于拉格朗日原理,将飞轮转子两去重面内不平衡质量矩等效至两端径向磁轴承位置,并与转子惯性轴偏离几何轴引起的离心力共同作用,得到磁轴承动反力.仿真结果表明:转子两不平衡质量矩大小相等时,其振幅从相位差φa-φb=0时的30μm减小至φa-φb=π时的10μm(减小了2/3),从转速为1000 r/min时的5μm增加至5000 r/min时的10μm(增加了1倍).测试实验结果与仿真结果一致,为飞轮系统高精度高稳定度控制奠定了基础.

Analysis and test of dynamic reaction of magnetic bearing reaction flywheel

Aimed at the magnetic bearing reaction flywheel rotor system, a novel model was proposed to describe the dynamic reaction of hybrid magnetic bearing (HMB). Based on Lagrange principle, the unbalance mass moments distributed in two planes were equivalent to the positions of two radial HMBs. Incorporated with the effect of centrifugal force caused by its principal axis of inertia, the dynamic reaction of HMB was obtained. Simulation result show that the rotation amplitude of rotor was significantly dependent on the phase difference, angular velocity and unbalance mass moment. When the values of two unbalance mass moments were equal, for the phase difference of 0, the amplitude was high, near 30μm. However, with an increase in the phase difference to π, the amplitude of rotor diminished down to 10μm. In addition, the vibration amplitude of rotor was 5μm at speed of 1000 r/min, which was lower than one at speed of 5000 r/min.Tests had a good agreement with the numerical simulations, which shows how to improve the precision and stability of system, by decreasing the vibration amplitude of flywheel rotor.