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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2020, Vol. 54 Issue (3): 597-605    DOI: 10.3785/j.issn.1008-973X.2020.03.021
Electrical Engineering     
Active control with multi-frequency transmission force of multi-span rotor system
Hui XU(),Chang-sheng ZHU*()
College of Electrical Engineering, Zhejiang University, Hangzhou 310058, China
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Abstract  

Firstly, a hybrid bearing, combining the electromagnetic actuator and journal bearing, was designed to control the multi-frequency transmission force in multi-span rotor system, and the operation principle was analyzed. Then, a dynamic model of the multi-span rotor system with multi-disc was built by the finite element method, and the influence of the disturbance force at the disc and the control force at the bearing on the transmission force was analyzed. Next, an iterative algorithm with variable step size was proposed based on sub-band filtering of error signal. Finally, the numerical model of multi-frequency forces transmitted to the base in two-span rotor system was built in MATLAB/Simulink platform and numerical simulations were carried out. The simulation results indicate that the proposed algorithm can effectively extract the error signal at different frequencies and suppress the multi-frequency transmission force of multi-span rotor system.

Key words： multi-span rotors      hybrid bearing      multi-frequency transmission forces      sub-band filtering      iteration with variable step     
Received: 27 January 2019      Published: 05 March 2020
CLC:  TB 535  
Corresponding Authors: Chang-sheng ZHU     E-mail: 15605176312@163.com;zhu_zhang@zju.edu.cn
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Hui XU
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Cite this article:

Hui XU,Chang-sheng ZHU. Active control with multi-frequency transmission force of multi-span rotor system. Journal of ZheJiang University (Engineering Science), 2020, 54(3): 597-605.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2020.03.021     OR     http://www.zjujournals.com/eng/Y2020/V54/I3/597


多跨转子系统多频传递力主动控制

设计一种用于传递力控制的电磁执行器与滑动轴承组合的混合轴承，分析混合轴承的工作原理. 采用有限单元法建立一个多盘多跨转子系统的动力学模型，分析圆盘处的扰动力和轴承处控制力对轴承传递力的影响. 基于误差信号子带滤波理论提出一种由多个单频力控制器并联而成的变步长自适应控制算法. 在MATLAB/Simulink平台上建立双跨转子系统传递力主动控制仿真模型并进行数值仿真. 结果表明，提出的多频力控制方法可以对误差信号进行有效地滤波，能够对多跨转子系统的多频传递力进行有效地抑制.


关键词： 多跨转子,  混合轴承,  多频传递力,  子带滤波,  变步长迭代 
Fig.1 Basic structure of electromagnetic actuator
Fig.2 Differential control of electromagnetic actuator
Fig.3 Structure of multi-disc multi-span rotor system
Fig.4 Active control of multi-frequency transmission forces of multi-span rotors system
Fig.5 Internal block diagram of multi-frequency transmission force controller
Fig.6 Internal structure diagram of adaptive controller
Fig.7 Relationship between step size and error signal with different α and β values
Fig.8 Internal block diagram of adaptive controller
Fig.9 Schematic of digital filter module
参数名称 数值 单位
圆盘直径 300 mm
圆盘宽 30 mm
圆盘密度 7 753 kg/m3
转子A及B轴的直径 60 mm
转子A长 1 200 mm
转子B长 900 mm
轴密度 7 853 kg/m3
弹性模量 2.07×1011 N/m2
泊松比 0.3 ?
转子A前轴承位置 300 mm
转子A后轴承位置 1 000 mm
联轴器位置 1 000 mm
联轴器质量 1 kg
转子B前轴承位置 1 400 mm
转子B后轴承位置 1 800 mm
各滑动轴承的等效刚度 2×107 N/m
各滑动轴承的等效阻尼 3×103 N/(m·s?1)
Tab.1 Parameters of double span rotors
Fig.10 Finite element model of rotor system
Fig.11 Waveform of rotor vibrations and control forces at bearings with control on rotor A
Fig.12 Spectrogram of transmission force of bearings with and without control on rotor A
Fig.13 Bearing error filter output of rotor A and main controller parameter with and without control on rotor A
Fig.14 Spectrogram of transmission force of bearings with control on rotor B
Fig.15 Spectrogram of transmission force of bearings with control both on rotor A and B
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