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Same-frequency vibration control method for cross-coupling anti-symmetric magnetic suspension rotor system

A magnetic levitation rotor, cross-coupling technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of scalability and universality limitations, neglect of influence, lack of universality, etc., to achieve applicable Effects of compatibility and extensibility, general applicability and extensibility

Active Publication Date: 2019-07-23
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The same-frequency vibration control method is usually used in rotating machinery. The existing vibration control methods mostly focus on the research of the single-input and single-output magnetic levitation rotor system, and usually ignore the influence of the gyro effect caused by the magnetic bearing structure on the system.
For example, the invention patent with the publication number CN107807533A "Same-frequency vibration torque suppression control method based on cross-decoupling notch method", the invention patent with publication number CN108710286A "Same-frequency vibration torque layered control based on cross-decoupling notch methods", they are aimed at specific objects, that is, specific maglev rotor systems, and are not universal
In addition, considering that the maglev system is open-loop unstable, embedding additional vibration control algorithms will affect the stability of the system, and the gyro effect aggravates the instability of the system
At present, many vibration control methods and stability analysis methods have been designed for various specific maglev systems, but the scalability and universality of these methods are greatly limited.

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  • Same-frequency vibration control method for cross-coupling anti-symmetric magnetic suspension rotor system
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  • Same-frequency vibration control method for cross-coupling anti-symmetric magnetic suspension rotor system

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Embodiment Construction

[0046] Attached below Figures 1 to 3 The technical solution of the present invention is described in detail with specific embodiments.

[0047] Step 1. Establish a general formal dynamics model for cross-coupled antisymmetric systems with co-frequency vibrations

[0048] combine figure 1 As shown, P(s) is defined as the control object with cross-coupled anti-symmetric characteristics of vibration at the same frequency, that is, the cross-coupled anti-symmetric maglev rotor system, and its general form can be expressed as:

[0049]

[0050] In the formula, s represents the independent variable in the field of complex numbers, and P d and P cr is an element of the matrix P(s), has no specific meaning, and is only used to describe the manifestation of the cross-coupling antisymmetric characteristic of P(s).

[0051] Suppose ξ=[β α] T is the state variable of the control object P(s), γ=[γ 1 gamma 2 ] T is the input of the control object P(s), Ψ=[Ψ 1 Ψ 2 ] T As the o...

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Abstract

The invention discloses a same-frequency vibration control method for a cross-coupling anti-symmetric magnetic suspension rotor system. The method comprises the following steps of establishing a dynamic model of the cross-coupling anti-symmetric system with same-frequency vibration for the same-frequency vibration caused by rotor mass imbalance in a strong gyro-effect magnetic suspension rotor system, wherein the model is given in the form of a general formula; designing the same-frequency vibration control method based on a cross-decoupling trap, and performing stability analysis on a dual-input dual-output system embedded with a vibration algorithm; converting the dual-input dual-output system into a complex-factor single-input single-output system by complex-factor transformation, and proving the equivalence of the system stability conditions before and after the transformation. The same-frequency vibration control method provided by the invention can be applied to a cross-couplinganti-symmetric system with gyro effect, which can not only effectively suppress the same-frequency vibration caused by the rotor imbalance, but also more easily analyze the stability of the system.

Description

technical field [0001] The invention belongs to the research field of magnetic suspension rotor vibration suppression. In particular, it relates to a method for controlling same-frequency vibration of a cross-coupled antisymmetrical magnetic levitation rotor system. Background technique [0002] As the key equipment of national industry, rotating machinery is widely used in the fields of industry, aerospace and medicine. In response to the needs of national industrial upgrading, energy saving and emission reduction, there are urgent requirements for high performance indicators of rotating machinery. Traditional mechanical bearings usually have mechanical friction and wear, are noisy, and require additional vibration isolators for vibration control, which increases the hardware burden of the system. Compared with traditional bearings, magnetic bearings support the rotor through magnetic force, so the magnetic levitation rotor system has the characteristics of no contact fri...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 彭聪祝梦婷邓智泉
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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