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基于模态力约束的平面电机振动抑制研究

DOI: 10.13334/j.0258-8013.pcsee.2015.12.025, PP. 3124-3131

Keywords: 平面电机,振动抑制,模态力约束,电机力分配

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Abstract:

随着轻量化设计的需求,磁悬浮平面电机结构质量与柔性之间矛盾凸显,使得低阶模态引起的振动将严重制约其纳米精度的生成及控制系统稳定性。目前,振动抑制研究中的控制算法较为复杂,难以有效应用于工程实际。针对此问题,该文提出基于模态力约束的振动抑制方法。该方法针对垂向电机推力分配策略,在受力方程的基础上,以模态力之和等于0作为约束,利用力分配特解使各垂向电机的模态贡献相互抵消,从物理本质层面解决柔性振动问题。针对平面电机第一阶模态,采用模态力约束方法后,辨识模型在该阶模态处表现出刚体特性,且垂向z的定位误差减小至5nm,验证了该方法对振动抑制的有效性。

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