基于SOGI-FLL-WPF的磁悬浮多跨转子不对中振动检测

关旭东; 周瑾; 金超武; 姚润晖

doi:10.3969/j.issn.0258-2724.20210810

基于SOGI-FLL-WPF的磁悬浮多跨转子不对中振动检测

doi: 10.3969/j.issn.0258-2724.20210810

1.
常州大学机械与轨道交通学院，江苏常州 213164
2.
南京航空航天大学直升机传动技术重点实验室，江苏南京 210016
3.
南京航空航天大学机电学院，江苏南京 210016

基金项目: 国家自然科学基金（51675261，52075239，51875275）

详细信息

作者简介:
关旭东（1989—），男，讲师，博士，研究方向为磁悬浮技术，E-mail：guanxd@cczu.edu.cn

通讯作者:
周瑾（1972—），女，教授，研究方向为磁悬浮技术，E-mail：zhj@nuaa.edu.cn

中图分类号: TH133
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- 被引次数: 0
出版历程
- 收稿日期: 2021-10-18
- 修回日期: 2022-03-30
- 刊出日期: 2022-04-14

Misalignment Vibration Detection of Magnetic Suspension Multi-Span Rotors Based on SOGI-FLL-WPF

1.
School of Mechanical Engineering and Rail Transit, Changzhou University, Changzhou 213164, China
2.
National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
3.
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

摘要

摘要:
为解决磁悬浮多跨转子不对中振动检测问题，首先，建立磁悬浮转子系统动力学模型及联轴器不对中模型；其次，基于多跨转子力学模型模拟转子不对中振动状态，并采用二阶广义积分-锁频环（second order generalized integrator-frequency locked loop，SOGI-FLL）对振动信号进行转速辨识；然后，将转速辨识信息输入至SOGI进行转速同频陷波，进而利用带预滤波器的SOGI-FLL （SOGI-FLL with prefilter，SOGI-FLL-WPF）对陷波后的信号进行磁悬浮多跨转子不对中振动检测；最后，通过磁悬浮多跨转子定速和升速状态下的仿真计算，验证了本文提出多跨转子不对中振动检测方法的可行性. 实验结果表明：由转子不对中引起的转速二倍频振动信号可被快速辨识出幅值和频率，可为磁悬浮多跨设备的应用奠定基础.
- 磁悬浮轴承 /
- 多跨转子 /
- 不对中振动 /
- SOGI-FLL-WPF /
- 振动检测
Abstract:
Aiming at misalignment vibration detection of magnetic suspension multi-span rotors, the dynamic model of magnetic suspension rotor system and coupling misalignment model are firstly established. Secondly, the rotor misalignment vibration state is simulated based on the multi-span rotors mechanics model, and the speed of vibration signal is identified by second order generalized integrator-frequency locked loop (SOGI-FLL). Furthermore, the speed identification information is input to SOGI for co-frequency notch filtering, and then misalignment vibration detection of magnetic multi-span rotors is performed on the notch signal by SOGI-FLL with prefilter (SOGI-FLL-WPF). Finally, the feasibility of the proposed detection method is verified by the simulation of magnetic suspension multi-span rotors at constant and ascending speeds. The experimental results show that the amplitude and frequency of the vibration signal at double speed frequency caused by rotor misalignment can be quickly identified, which lays a foundation for the application of magnetic suspension multi-span equipment.
- active magnetic bearing /
- multi-span rotors /
- misalignment vibration /
- SOGI-FLL-WPF /
- vibration detection

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图 1 磁悬浮多跨转子平台示意

Figure 1. Schematic diagram of magnetic suspension multi-span rotors platform

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图 2 四自由度磁悬浮轴承转子系统动力学模型

Figure 2. Dynamic model of 4-DOF magnetic bearing rotor system

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图 3 多跨转子联轴器受力

Figure 3. Stress diagram of coupling in multi-span rotors system

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图 4 归一化SOGI-FLL原理

Figure 4. Principle of normalized SOGI-FLL

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图 5 不同k值下SOGI滤波器的Bode图

Figure 5. Bode diagram of SOGI filter under different k

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图 6 SOGI-FLL-WPF的控制原理

Figure 6. Control principal of SOGI-FLL-WPF

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图 7 n个SOGI的级联

Figure 7. Cascade diagram of n SOGIs

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图 8 基于径向位移信号的转子不对中振动检测原理

Figure 8. Schematic diagram of rotor misalignment vibration detection based on radial displacement signal

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图 9 转速为6000 r/min下转子运行状态

Figure 9. Running state of rotor at 6000 r/min

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图 10 转速为6000 r/min下转子位移信号频谱

Figure 10. Spectrum for displacement signal of rotor at 6000 r/min

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图 11 转速为6000 r/min下转子不对中振动检测结果

Figure 11. Misalignment vibration detection results of rotor at 6000 r/min

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图 12 滤波前后转子振动位移频谱对比

Figure 12. Spectrum comparison of rotor vibration displacement before and after filtering

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图 13 升速过程中转子不对中振动检测结果

Figure 13. Misalignment vibration detection results duringrotor acceleration

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图 14 磁悬浮四自由度多跨转子实验台

Figure 14. Test rig of magnetic suspended 4-DOFmulti-span rotors

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图 16 滤波前后转子振动位移频谱对比

Figure 16. Spectrum comparison of rotor vibration displacement before and after filtering

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图 15 磁悬浮多跨转子不对中振动检测结果

Figure 15. Detection results for misalignment vibration of magnetic multi-span rotors

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图 17 转子不对中状态下的运行状态

Figure 17. Operation state of rotor under misalignment

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表 1 仿真参数

Table 1. Simulation parameters

参数数值

m/kg 14.56
J/（kg·m²） 1.1729
J_z/（kg·m²） 1.4187 × 10⁻²
m_u/kg 0.05
u/m 0.002
z_u/m 0.01
d/μm 60
${\varphi _0} $/（°） 0

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