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冲击激励下轴线失准转子-磁轴承系统不对中定量研究

肖玲 李园超 赵晨曦 程文杰 冯圣

肖玲, 李园超, 赵晨曦, 程文杰, 冯圣. 冲击激励下轴线失准转子-磁轴承系统不对中定量研究[J]. 西南交通大学学报, 2024, 59(4): 737-745. doi: 10.3969/j.issn.0258-2724.20230454
引用本文: 肖玲, 李园超, 赵晨曦, 程文杰, 冯圣. 冲击激励下轴线失准转子-磁轴承系统不对中定量研究[J]. 西南交通大学学报, 2024, 59(4): 737-745. doi: 10.3969/j.issn.0258-2724.20230454
XIAO Ling, LI Yuanchao, ZHAO Chenxi, CHENG Wenjie, FENG Sheng. Quantitative Research on Misalignment Magnitude of Rotor-Magnetic Bearing System with Axis Misalignment Under Shock Excitation[J]. Journal of Southwest Jiaotong University, 2024, 59(4): 737-745. doi: 10.3969/j.issn.0258-2724.20230454
Citation: XIAO Ling, LI Yuanchao, ZHAO Chenxi, CHENG Wenjie, FENG Sheng. Quantitative Research on Misalignment Magnitude of Rotor-Magnetic Bearing System with Axis Misalignment Under Shock Excitation[J]. Journal of Southwest Jiaotong University, 2024, 59(4): 737-745. doi: 10.3969/j.issn.0258-2724.20230454

冲击激励下轴线失准转子-磁轴承系统不对中定量研究

doi: 10.3969/j.issn.0258-2724.20230454
基金项目: 国家自然科学基金(52275271);陕西省自然科学基金(2022JM-194)
详细信息
    作者简介:

    肖玲(1983—) ,女,教授,博士,研究方向为电磁轴承、高速电机转子、软磁复合材料,E-mail:xiaoling@xust.edu.cn

  • 中图分类号: TH133.3

Quantitative Research on Misalignment Magnitude of Rotor-Magnetic Bearing System with Axis Misalignment Under Shock Excitation

  • 摘要:

    为研究和识别转子系统在轴承处发生的平行角度混合不对中,提出一种频谱辨识转子-磁轴承系统固有不对中量大小的方法. 采用动量矩定理将圆盘不平衡力对转轴的影响等效到转子轴向力上,建立考虑轴向径向耦合效应的刚性双偏置圆盘转子-磁轴承系统的动力学模型;通过SIMULINK仿真得到系统时域下的位移和电流响应,分析不对中条件下转子系统动力学特性,并利用快速傅里叶变换将时域响应转换为频域响应,基于频域下最小二乘算法得到转子系统不对中量大小. 结果表明:在冲击激励影响条件下,采用该方法计算的不对中量大小误差均在5.0%以内,当转子受到外界扰动力时,该算法能够准确定量识别转子的不对中量,可为不对中转子-磁轴承系统故障诊断及自修复提供理论参考.

     

  • 图 1  刚性双偏置圆盘转子-磁轴承系统模型

    Figure 1.  Model of a rigid double offset disc rotor-magnetic bearing system

    图 2  圆盘1形心和重心位置关系

    Figure 2.  Relationship between shape center and gravity center for disc 1

    图 3  动力学模型仿真

    Figure 3.  Dynamics model simulation

    图 4  转子受冲击后轴心轨迹

    Figure 4.  Axial trajectory of rotor subjected to impact

    图 5  不同转速下径向磁轴承处位移、电流稳态响应

    Figure 5.  Steady-state response of displacement and current at radial magnetic bearing at different rotational speeds

    图 6  不同转速下混合磁轴承处位移、电流稳态响应

    Figure 6.  Steady-state response of displacement and current at hybrid magnetic bearing at different rotational speeds

    图 7  不同噪声影响下计算的不对中量误差百分比

    Figure 7.  Percentage of misalignment error calculated under different noise interferences

    表  1  系统结构参数与仿真参数

    Table  1.   System structure parameters and simulation parameters

    参数 数值 参数 数值
    m/kg
    l/m
    3.910
    0.400
    s0/mm 0.400
    md1/kg 1.065 δx1δx2/mm 0.140,0.150
    md2/kg 2.081 δy1δy2/mm 0.160,0.145
    e1e2/μm 80,100 δz2Δx1/mm 0.130,0.100
    $ {e_{{\textit{z}}1}},{e_{{\textit{z}}2}} $/μm 8,10 Δy1Δx2/mm 0.130,0.120
    β1β2/(°) 20,30 Δy2Δz2/mm 0.110,0.150
    Id/(kg·m2 0.0455 KP/(A·m−1 5500
    a1/mm 0.226 KI/(A·(m·s)−1 8000
    a2/mm 0.174 KD/(A·s·m−1 3
    b1/mm 0.126 R
    t/ms
    20
    6
    Ip1/(kg·m2 0.0019 b2/mm 0.074
    Ip2/(kg·m2 0.0059
    下载: 导出CSV

    表  2  频域下的径向磁轴承处转子位移和控制电流响应

    Table  2.   Rotor displacement and control current response at radial magnetic bearing in frequency domain

    频率/
    Hz
    i 位移 电流
    幅值/A 相位/(°) 幅值/m 相位/(°)
    30 0 3.69 × 10−9 −16.09 0.929 −132.73
    1 1.36 × 10−4 −32.43 0.754 152.99
    35 0 1.13 × 10−9 112.79 0.930 −133.20
    1 1.83 × 10−4 −61.97 1.016 124.49
    下载: 导出CSV

    表  3  无噪声影响下不对中量实际值和估计值比较

    Table  3.   Comparison of actual and estimated values of misalignment without noise interference

    不对中量实际值/mm估计值/mm误差/%
    δx10.1400.1388−0.857
    δy10.1600.1575−1.563
    δx20.1500.1439−4.067
    δy20.1450.14560.414
    δz20.1300.1285−1.154
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-09-04
  • 修回日期:  2024-03-22
  • 网络出版日期:  2024-04-29
  • 刊出日期:  2024-03-28

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