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Volume 59 Issue 4
Jul.  2024
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Journal of Southwest Jiaotong University  > 2024  >  59(4): 755-765.
ZHOU Yang, ZHOU Jin, WANG Yiyu, ZHANG Yue, XU Yuanping. Modeling and Robust Control of Magnetic Bearing-Rotor System Considering Interface Contact[J]. Journal of Southwest Jiaotong University, 2024, 59(4): 755-765. doi: 10.3969/j.issn.0258-2724.20230510
Citation: ZHOU Yang, ZHOU Jin, WANG Yiyu, ZHANG Yue, XU Yuanping. Modeling and Robust Control of Magnetic Bearing-Rotor System Considering Interface Contact[J]. Journal of Southwest Jiaotong University, 2024, 59(4): 755-765. doi: 10.3969/j.issn.0258-2724.20230510
shu

Modeling and Robust Control of Magnetic Bearing-Rotor System Considering Interface Contact

doi: 10.3969/j.issn.0258-2724.20230510

  • College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  • Received Date: 30 Sep 2023
  • Rev Recd Date: 08 Apr 2024
    • Available Online: 18 May 2024
  • Publish Date: 18 Apr 2024
    Abstract

  • In magnetic bearing-rotor systems, the bending mode vibration may be excited by the interface contact formed by bolt joints during rotor levitation, and the vibration frequency varies with rotation speed. To actively control bending mode vibration at any speed, the design method of a robust H∞ controller considering frequency uncertainty was proposed. Firstly, the dynamic model considering interface contact was established for numerical simulation, and the vibration frequency variation was obtained. Then, the rotor transfer function was reconstructed by frequency response fitting, and the variation range of vibration frequency obtained by simulation was introduced into the reconstructed transfer function by means of additive uncertainty. As a result, a controlled object model considering mode frequency uncertainty was obtained. Finally, based on the model, the robust H∞ controller was designed by taking the robustness to parameter perturbations and external disturbance, closed-loop system stability, control voltage saturation, and other functions into account. The numerical simulation results show that the controller has the frequency response characteristic of wide band resistance at the mode frequency, which is able to suppress the bending mode vibration of the magnetic bearing-rotor system. After the robust H∞ controller designed by this method is used, the bending mode vibration amplitude of the rotor is reduced by more than 90%.

     

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    • References(22)
  • [1]
    SCHWEITZER G, MASLEN E, BLEULER H, et al. Magnetic bearing:theory, design and application to rotating machinery[M]. Berlin:Springer-Verilog, 2009:11-12.
    [2]
    YANNICK P,JEFFREY S,王小明. 应用API617第8版配备磁悬浮轴承的透平膨胀机-压缩机[J]. 风机技术,2016,58(5): 6-18.
    [3]
    HUTTERER M, SCHRÖDL M. Modeling and mu-synthesis control of a flexible rotor stabilized by active magnetic bearings including current free control[J]. Journal of Sound and Vibration, 2023, 546:117439.1-117439.18.
    [4]
    INOUE T, LIU J, ISHIDA Y, et al. Vibration control and unbalance estimation of a nonlinear rotor system using disturbance observer[J]. Journal of Vibration and Acoustics, 2009, 131(3): 031010.1-031010.8.
    [5]
    LI K X, PENG C, DENG Z Q, et al. Field dynamic balancing for active magnetic bearings supporting rigid rotor shaft based on extended state observer[J]. Mechanical Systems and Signal Processing, 2021, 158: 107801.1-107801.14.
    [6]
    TANG E Q, HAN B C, ZHANG Y. Optimum compensator design for the flexible rotor in magnetically suspended motor to pass the first bending critical speed[J]. IEEE Transactions on Industrial Electronics, 2016, 63(1): 343-354. doi: 10.1109/TIE.2015.2472534
    [7]
    JIN C W, XIONG F, BAO Z P, et al. Research on modal vibration suppression of maglev steel strip based on phase compensator[J]. Journal of Sound and Vibration, 2018, 434: 78-91. doi: 10.1016/j.jsv.2018.07.043
    [8]
    PENG C, ZHENG S Q, HUANG Z Y, et al. Complete synchronous vibration suppression for a variable-speed magnetically suspended flywheel using phase lead compensation[J]. IEEE Transactions on Industrial Electronics, 2018, 65(7): 5837-5846. doi: 10.1109/TIE.2017.2782204
    [9]
    ZHENG S Q, HAN B C, WANG Y G, et al. Optimization of damping compensation for a flexible rotor system with active magnetic bearing considering gyroscopic effect[J]. IEEE/ASME Transactions on Mechatronics, 2015, 20(3): 1130-1137. doi: 10.1109/TMECH.2014.2344664
    [10]
    ROY H K, DAS A S, DUTT J K. An efficient rotor suspension with active magnetic bearings having viscoelastic control law[J]. Mechanism and Machine Theory, 2016, 98: 48-63. doi: 10.1016/j.mechmachtheory.2015.11.012
    [11]
    TANG E Q, FANG J C, HAN B C. Active vibration control of the flexible rotor in high energy density magnetically suspended motor with mode separation method[J]. Journal of Engineering for Gas Turbines and Power, 2015, 137(8): 082503.1-082503.10.
    [12]
    HAN X M, ZHOU J, ZHOU Y. Analysis and suppression of self-excited vibration of flexible rotor AMBs system[J]. Journal of Vibration Engineering & Technologies, 2021, 9(8): 1911-1922.
    [13]
    魏彤,房建成. 基于双频Bode图设计磁悬浮弹性转子陷波器[J]. 光学精密工程,2008,16(5): 789-796.

    WEI Tong, FANG Jiancheng. Design of magnetically suspended elastic rotor Notch filter based on two-frequency Bode diagram[J]. Optics and Precision Engineering, 2008, 16(5): 789-796.
    [14]
    崔培玲,赵光再,房建成,等. 基于相移陷波器的磁轴承不平衡振动全频自适应控制[J]. 振动与冲击,2015,34(20): 16-20,36.

    CUI Peiling, ZHAO Guangzai, FANG Jiancheng, et al. Adaptive control of unbalance vibration for magnetic bearings based on phase-shift Notch filter within the whole frequency range[J]. Journal of Vibration and Shock, 2015, 34(20): 16-20,36.
    [15]
    MUSHI S E, LIN Z, ALLAIRE P E. Stability analysis for a flexible rotor on active magnetic bearings subject to aerodynamic loads[C]//Proceedings of the 12th international symposium on magnetic bearings. Yokohama:[s.n.], 2010:22-25.
    [16]
    RAN S L, HU Y F, WU H C. Design, modeling, and robust control of the flexible rotor to pass the first bending critical speed with active magnetic bearing[J]. Advances in Mechanical Engineering, 2018, 10(2): 1-13.
    [17]
    谭大力,陈进,廖明夫,等. 圆柱面配合激起的转子失稳振动研究[J]. 机械科学与技术,2014,33(12): 1786-1790.

    TAN Dali, CHEN Jin, LIAO Mingfu, et al. Instability caused by cylindrical surface fit in rotor system[J]. Mechanical Science and Technology for Aerospace Engineering, 2014, 33(12): 1786-1790.
    [18]
    曾瑶,陈亮,蒋云帆,等. 圆柱面配合对柔性转子稳定性的影响[J]. 燃气涡轮试验与研究,2019,32(2): 42-48. doi: 10.3969/j.issn.1672-2620.2019.02.008

    ZENG Yao, CHEN Liang, JIANG Yunfan, et al. Analysis on the impact of cylindrical surface fit on flexible rotor[J]. Gas Turbine Experiment and Research, 2019, 32(2): 42-48. doi: 10.3969/j.issn.1672-2620.2019.02.008
    [19]
    LIU Y, LIU H, YI J, et al. Investigation on the stability and bifurcation of a rod-fastening rotor bearing system[J]. Journal of Vibration and Control, 2015, 21(14): 2866-2880. doi: 10.1177/1077546313518817
    [20]
    WU X L, JIAO Y H, CHEN Z B, et al. Establishment of a contact stiffness matrix and its effect on the dynamic behavior of rod-fastening rotor bearing system[J]. Archive of Applied Mechanics, 2021, 91(7): 3247-3271. doi: 10.1007/s00419-021-01963-9
    [21]
    魏彤,房建成. 磁悬浮控制力矩陀螺高速转子高频自激振动的抑制[J]. 宇航学报,2006,27(2): 291-296. doi: 10.3321/j.issn:1000-1328.2006.02.029

    WEI Tong, FANG Jiancheng. Self-excited vibration depression of high-speed rotor in magnetically suspended control moment gyroscope[J]. Journal of Astronautics, 2006, 27(2): 291-296. doi: 10.3321/j.issn:1000-1328.2006.02.029
    [22]
    ZHOU Y, ZHOU J, MAHFOUD J, et al. Modelling and Validation of Rotor-Active Magnetic Bearing System Considering Interface Contact[C]//Proceedings of the 11th IFToMM International Conference on Rotordynamics. Mechanisms and Machine Science. Berlin:Springer, 2023:374-390.
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