Complex coefficient method-based magnetic suspension flat rotor system nutation frequency analysis method

A technology of magnetic suspension rotor and analytical method, applied in the field of magnetic suspension flat rotor system control, can solve the problem of lack of in-depth research on quantitative analysis of nutation frequency, and achieve the effects of improving pertinence and efficiency, easy implementation and simple calculation.

Active Publication Date: 2018-03-13
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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  • Complex coefficient method-based magnetic suspension flat rotor system nutation frequency analysis method
  • Complex coefficient method-based magnetic suspension flat rotor system nutation frequency analysis method
  • Complex coefficient method-based magnetic suspension flat rotor system nutation frequency analysis method

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Embodiment Construction

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

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

[0037] (1) such as 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 is deflected around the x-axis and y-axis under the closed-loop control condition of the magnetic suspension flat rotor system, and establishes according to Euler kinematics equations Rotational dynamic model of high-speed magnetic suspension 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 speed, α is the deflection angl...

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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 magnetic suspension flat rotor system control, in particular to a nutation frequency analysis method of a magnetic suspension flat rotor system based on a complex coefficient method, which can be used for the nutation frequency analysis calculation of a magnetic suspension flat rotor system under decentralized PID control conditions. Background technique [0002] Magnetic bearing has many advantages such as no contact, no friction, no need for lubrication, long service life and so on. With the maturity of magnetic levitation control technology, it is widely used in magnetic levitation molecular pump, magnetic levitation energy storage flywheel, magnetic levitation control moment gyroscope, magnetic levitation high energy density Motors and other institutions. The magnetic bearing control system usually adopts decentralized PID control, but with the increase of the magnetic suspension rotor speed, the introduct...

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Application Information

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Patent Type & Authority Applications(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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