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计及悬浮系统影响的高速磁浮直线同步电机建模方法

康劲松 丁浩 倪菲 汪凤翔

康劲松, 丁浩, 倪菲, 汪凤翔. 计及悬浮系统影响的高速磁浮直线同步电机建模方法[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20230431
引用本文: 康劲松, 丁浩, 倪菲, 汪凤翔. 计及悬浮系统影响的高速磁浮直线同步电机建模方法[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20230431
KANG Jinsong, DING Hao, NI Fei, WANG Fengxiang. Modeling of High-Speed Maglev Linear Synchronous Motors Considering Influence of Suspension System[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230431
Citation: KANG Jinsong, DING Hao, NI Fei, WANG Fengxiang. Modeling of High-Speed Maglev Linear Synchronous Motors Considering Influence of Suspension System[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20230431

计及悬浮系统影响的高速磁浮直线同步电机建模方法

doi: 10.3969/j.issn.0258-2724.20230431
基金项目: 国家自然科学基金(52277196)
详细信息
    作者简介:

    康劲松(1972—),男,教授,博士,研究方向为高速磁浮直线电机系统及控制,E-mail:kjs@tongji.edu.cn

    通讯作者:

    倪菲(1985—),女,副研究员,博士,研究方向为磁浮列车鲁棒控制与可靠性分析,E-mail:fei.ni@tongji.edu.cn

  • 中图分类号: TM359.4

Modeling of High-Speed Maglev Linear Synchronous Motors Considering Influence of Suspension System

  • 摘要:

    为提高高速磁浮直线同步电机模型精度,基于电磁铁模块磁共能重构,提出一种计及悬浮系统影响的分布参数建模方法. 首先,建立高速磁浮列车电磁铁模块的有限元模型,利用有限元数值分析获取电磁铁模块在不同工况下的磁共能数据,通过对磁共能进行傅里叶级数展开及多项式拟合构建磁共能的解析模型;其次,根据磁共能解析模型推导电磁铁模块的磁链、电压和推力方程;然后,根据列车编组数量和电磁铁模块数量分别建立左右两侧直线同步电机的数学模型,并通过运动学方程计算高速磁浮列车位置和速度;最后,通过硬件在环仿真系统进行实验验证. 试验结果表明:本文所提建模方法与传统建模方法相比,推力波动幅值增加超过6.8%;并且所提方法可以准确表征悬浮系统对牵引控制的影响,当励磁电流谐波幅值增加0.5、1、2 A时,推力波动幅值分别最大增加54.3%、26.2%、83.7%;当励磁电流谐波频率为5、10、20 Hz时,推力的谐波频率最大达到5.14%,21.75%和14.17%.

     

  • 图 1  电磁铁及长定子模型

    Figure 1.  Model of electromagnet and long stator

    图 2  不同工况下的磁共能示意

    Figure 2.  Magnetic co-energy under different operating conditions

    图 3  高速磁浮直线同步电机建模流程

    Figure 3.  Modeling flow chart of high-speed maglev linear synchronous motor

    图 4  不同电流工况下的磁共能误差分布

    Figure 4.  Distribution of magnetic co-energy error under different current conditions

    图 5  实验平台

    Figure 5.  Experimental platform

    图 6  加速阶段下不同编组数时的推力

    Figure 6.  Thrust force at different formations during acceleration

    图 7  不同建模方法下的推力对比

    Figure 7.  Comparison of thrust force with different modeling methods

    图 8  不同励磁电流谐波时的推力对比

    Figure 8.  Comparison of thrust force at different excitation current harmonics

    表  1  电磁铁模块主要参数

    Table  1.   Main parameters of electromagnet module

    参数名称 数值 参数名称 数值
    额定励磁电流/A 20 动子极距/mm 266.5
    定子绕组匝数/匝 1 铁芯厚度/mm 185
    励磁绕组匝数/匝 270 定子槽距/mm 86
    定子极距/mm 258 额定气隙/mm 10
    下载: 导出CSV

    表  2  不同励磁电流时的推力谐波含量和波动对比

    Table  2.   Comparison of thrust harmonics and fluctuations at different excitation currents

    阶段 类型 推力谐波占比/% 推力
    波动/kN
    f=5 Hz f=10 Hz f=20 Hz
    加速 谐波 1 1.43% 0.21% 0.1% 25.6
    谐波 2 0.54% 2.48% 0.3% 32.4
    谐波 3 0.29% 0.16% 5.14% 39.3
    匀速 谐波 1 4.48% 2.04% 1.27% 20.69
    谐波 2 1.84% 9.66% 1.43% 26.45
    谐波 3 2.1% 0.63% 21.75% 31.46
    减速 谐波 1 3.86% 0.1% 1.01% 22
    谐波 2 0.59% 7.98% 0.37% 33.4
    谐波 3 0.48% 0.63% 14.17% 48.5
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-08-26
  • 修回日期:  2024-04-07
  • 网络出版日期:  2024-05-11

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