摘要
研究目的:板式双边Halbach电动悬浮具有自稳定悬浮的特点,适用于低速磁浮交通。为研究不同参数对电磁力和悬浮特性的影响,从而为工程设计服务,本文基于三维阵列,提出该悬浮系统的解析计算模型,并通过有限元和试验法对解析结果进行验证。研究结论:(1)根据空间导电率特性,将空间划分为不同区域,利用二阶矢量磁位(SOVP)建立不同区域内的电磁场微分方程,用分离变量法求得了空间磁场二阶矢量磁位的通解;(2)由磁荷法推导出Halbach阵列在导体板上、下表面处的静态磁场方程;(3)结合二阶矢量磁位的通解、静态磁场方程和边界条件,确定待定常数,从而推导出不同区域内磁场的表达式,进而由磁荷法计算得到电磁力;(4)用ANSYS软件建立该系统的三维有限元模型,计算磁场和电磁力,与所得到的解析结果进行对比,平均相对误差约为0. 7%;(5)设计了旋转试验台,模拟双边电动悬浮运行方式,对电磁力进行测试,并与解析计算结果对比,所得平均相对误差约为10%;(6)本研究成果可为低速磁浮列车的设计提供理论依据。
Research purposes:The plate-type double Halbach electrodynamic suspension(EDS)has the characteristics of self-stable suspension and is suitable for low-speed maglev traffic.In order to study the performance of double Halbach electrodynamic suspension,which is very helpful for engineering design,this paper proposed an analytic model of such device,based on 3 D arrays,verified by finite element method(FEM)and experiment.Research conclusions:(1)Using the second order vector potential(SOVP),we established the differential equations of electromagnetic field in the spaces,which are divided into different parts,due to the characteristics of spatial conductivity.Under the reasonable assumption,we can get the general solution of SOVP,by the separation of variables.(2)We used the magnetic charge method to solve that static field.(3)Those undermined constants in the general solution can be confirmed both by the general solution,the static magnetic field equation and edge condition of SOVP.And in that case,we can get the expressions of magnetic field in different spaces.The electromagnetic forces can be calculated by the magnetic charge methods.(4)We compared the fields and forces results,which were calculated by analytic model and 3 D FEM,and it showed that,the average relative error is about 0.7%.The 3 D FEM model were built in ANSYS software.(5)In the last,we established a rotation experimental platform,thus to simulating the workings of double Halbach EDS.We tested the forces,using this platform,compared with analytical results,and the average relative error between them was about 10%.(6)The research results can provide a theoretical basis for the design of low speed maglev train.
作者
陈殷
李耀华
李艳
CHEN Yin;LI Yaohua;LI Yan(Institute of Electrical Engineering,Chinese Academy of Sciences,Beijing 100190,China;China Railway Eryuan Engineering Group Co.Ltd,Chengdu,Sichuan 610031,China)
出处
《铁道工程学报》
EI
北大核心
2019年第12期29-34,共6页
Journal of Railway Engineering Society
基金
国家重点研发计划资助项目(2016YFB1200600)
四川省科技计划资助项目(2019YFG0284)
关键词
双边永磁电动悬浮
解析计算
二阶矢量磁位
有限元法
电磁场
旋转试验平台
double permanent magnet electrodynamic suspension
analytic calculation
second order vector potential
finite element method
electromagnetic field
rotation experimental platform
