考虑驱动线圈位移变化的电动振动台非线性电磁力建模与分析  

Modeling and Analysis of Nonlinear Electromagnetic Force of Electric Shaker Considering Displacement Change of Driving Coil

作　　者：左曙光[1] 黄荣奎 冯朝阳[1] 胡坤[1] Zuo Shuguang;Huang Rongkui;Feng Zhaoyang;Hu Kun(Clean Energy Automotive Engineering Center Tongji University,Shanghai 201804 China)

机构地区：[1]同济大学新能源汽车工程中心

出　　处：《电工技术学报》2019年第21期4441-4448,共8页Transactions of China Electrotechnical Society

基　　金：国家重点研发计划重点专项资助项目（2017YFB0103103）

摘　　要：该文在二维平面直角坐标系内建立电动振动台的精确子域解析模型,求解区域划分为励磁线圈区域、驱动线圈区域和气隙区域,并采用基于傅里叶理论的通用公式给出各子域的磁感应强度通解,通过各子域之间的边界条件确定通解中的未知系数,从而实现电动振动台的磁场解析。以某一大型电动振动台为例,将气隙磁通密度解析计算结果与二维有限元结果相比较,验证了解析模型的准确性。最后,在静态磁场解析结果基础上,考虑驱动线圈位移变化,利用电磁力求解公式计算得出驱动线圈随位移变化的非线性分布的电磁力。通过分析得出,负载磁场对原励磁磁场的影响使得气隙中磁通密度分布的不均匀性加剧,从而导致驱动线圈在运动过程中受到非线性的电磁力。In this paper,an accurate sub-domain analytical model of the electric shaker was established in the two-dimensional Cartesian coordinate system.The solution areas were divided into the excitation coil area,the driving coil area and the air gap area.The general formulas based on Fourier theory were used to give the general solution of the magnetic induction intensity of each subdomain.The unknown coefficients in the general solution were determined by the boundary conditions between the subdomains,so as to realize the magnetic field analysis of the electric shaker.Taking a certain large-scale electric shaker as an example,the magnetic density analytical calculation results of air gap were compared with the two-dimensional finite element calculation results,and the accuracy of the analytical model was verified.Finally,on the basis of the static magnetic field analysis results,considering the displacement change of the driving coil,the electromagnetic force formula was used to calculate the nonlinear electromagnetic force with the displacement.It is concluded that the influence of the load magnetic field on the original excitation magnetic field makes the non-uniformity of the magnetic density distribution in the air gap,which causes nonlinear electromagnetic force of the driving coil during the motion.

关 键 词：电动振动台 精确子域模型 位移变化 非线性电磁力 

分 类 号：TM359.4[电气工程—电机]