A Nutation Frequency Analysis Method for Maglev Flat Rotor System Based on Complex Coefficient Method

A magnetic levitation rotor, nutation frequency technology, applied in general control systems, control/regulation systems, instruments, etc., can solve the problems of lack of in-depth research on the quantitative analysis of nutation frequency, and achieve improved pertinence and efficiency, accurate analysis and calculation , calculate the simple effect of

Active Publication Date: 2020-02-11
BEIHANG UNIV
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Problems solved by technology

[0004] At present, research at home and abroad is mainly aimed at the qualitative analysis of the nutation mode, but there is a lack of in-depth research on the quantitative analysis of the nutation frequency of the high-speed rotor system with strong gyro effect under the condition of closed-loop control

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  • A Nutation Frequency Analysis Method for Maglev Flat Rotor System Based on Complex Coefficient Method
  • A Nutation Frequency Analysis Method for Maglev Flat Rotor System Based on Complex Coefficient Method
  • A Nutation Frequency Analysis Method for Maglev Flat Rotor System Based on Complex Coefficient Method

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Embodiment Construction

[0035] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0036] like Figure 1-3 As shown, the specific steps of a method for analyzing the nutation frequency of a magnetic levitation flat rotor system based on the complex coefficient method in the present invention are as follows:

[0037] (1) if Figure 1-2 As shown, the present invention analyzes the control torque generated by the magnetic bearing control force of each channel when the rotor deflects around the x-axis and y-axis under closed-loop control conditions, and establishes according to the Euler kinematics equation Rotation dynamics model of high-speed maglev flat rotor:

[0038]

[0039] where J x is the moment of inertia in the x-axis direction, J y is the moment of inertia in the y-axis direction, J z is the moment of inertia in the z-axis direction, Ω is the rotational speed, α is the deflection angle of the rotor around the ...

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Abstract

The present invention relates to a complex coefficient method-based magnetic suspension flat rotor system nutation frequency analysis method. The method comprises the steps of according to the Euler kinematical equations, and by modeling and analyzing the magnetic suspension flat rotor system rotational dynamics, establishing the relation between the control system parameters and the rotating speed and the rotational motion, utilizing a complex coefficient method to represent a two-degree of freedom rotational kinetic equation as a single degree of freedom complex variable equation, establishing a damping vibration frequency characteristic equation by the variable reconstruction, according to the characteristic that a nutation mode is homodromous with the rotor rotating speed, obtaining the analysis relation between the nutation frequency and the control system parameters and the rotating speed. The method is simple to calculate and easy to realize, can calculate the nutation mode frequency under the decentralized PID control more accurately, and enables the control pertinence and efficiency of the nutation mode to be improved.

Description

technical field [0001] The invention relates to the technical field of magnetically suspended flat rotor system control, in particular to a method for analyzing the nutation frequency of the magnetically suspended flat rotor system based on the complex coefficient method, which can be used for the analytical calculation of the nutating frequency of the magnetically suspended flat rotor system under the condition of decentralized PID control. Background technique [0002] Magnetic suspension bearings have many advantages such as no contact, no friction, no lubrication, and long service life. Mechanisms such as motors. The magnetic suspension bearing control system usually adopts decentralized PID control, but with the increase of the magnetic suspension rotor speed, the introduction of the integral link and the filter link will cause a phase lag in the frequency characteristics of the system. Due to the strong gyro coupling effect, eddy motion (precession and nutation ) mode...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 郑世强杨景裕周冲韩邦成刘刚
Owner BEIHANG UNIV
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