Nutation and Precession Stability Criterion of Magnetically Suspended Rigid Rotors With Gyroscopic Effects Based on Positive and Negative Frequency Characteristics
Nutation and Precession Stability Criterion of Magnetically Suspended Rigid Rotors With Gyroscopic Effects Based on Positive and Negative Frequency Characteristics
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DOI：
10.1109/tie.2013.2266077
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发表时间：
2014-04
影响因子：
7.7
通讯作者：
Jiancheng Fang;Yuan Ren;Yahong Fan
中科院分区：
文献类型：
--
作者：
Jiancheng Fang;Yuan Ren;Yahong Fan
对于具有显著陀螺效应和高转速的磁悬浮刚性转子，需要稳定前向涡动（章动）和后向涡动（进动）模式。本文根据控制通道的正负频率特性，导出了涡动模态边缘稳定的充要条件，并进一步给出了涡动模态的绝对稳定判据。然后，进一步发展了章动和进动模态的相对稳定性判断方法，解析地描述了转子的速度裕度、增益裕度和相位裕度。该准则的主要优点是它与转速无关，并且可以解析地揭示不同涡动模式的转子速度稳定裕度与控制器本身之间的关系。仿真和实验结果验证了该稳定判据的有效性和优越性。
For magnetically suspended rigid rotors with significant gyroscopic effects and high rotor speed, it is necessary to stabilize the forward whirling (nutation) and backward whirling (precession) modes. This paper derives the necessary and sufficient conditions for marginal stability of the whirling modes and further presents their absolute stability criterion based on the positive and negative frequency characteristics of the control channel. Then, the relative stability judging method of the nutation and precession modes is further developed, describing analytically the rotor speed margin, gain, and phase margins. The key advantage of the criterion is that it is independent from the rotational speed and it can reveal analytically the relationships between the rotor speed stability margins of the different whirling modes and the controller itself. Simulation and experimental results demonstrate the validity and superiority of the proposed stability criterion.