电工技术学报  2019, Vol. 34 Issue (21): 4441-4448    DOI: 10.19595/j.cnki.1000-6753.tces.181234
电机与电器 |
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
左曙光, 黄荣奎, 冯朝阳, 胡坤
同济大学新能源汽车工程中心 上海 201804
Modeling and Analysis of Nonlinear Electromagnetic Force of Electric Shaker Considering Displacement Change of Driving Coil
Zuo Shuguang, Huang Rongkui, Feng Zhaoyang, Hu Kun
Clean Energy Automotive Engineering Center Tongji University Shanghai 201804 China
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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。
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左曙光
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胡坤
关键词 电动振动台精确子域模型位移变化非线性电磁力    
Abstract: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.
Key wordsElectric shaker    accurate subdomain model    displacement change    nonlinear electro- magnetic force   
收稿日期: 2018-07-17      出版日期: 2019-11-18
PACS: TM359.4  
基金资助:国家重点研发计划重点专项资助项目(2017YFB0103103)
通讯作者: 左曙光 男,1968年生,教授,博士生导师,研究方向为电机振动与噪声控制等。E-mail: sgzuo@tongji.edu.cn   
作者简介: 黄荣奎 男,1992年生,硕士研究生,研究方向为电动振动台非线性工作特性分析等。E-mail: rongkui_huang@163.com
引用本文:   
左曙光, 黄荣奎, 冯朝阳, 胡坤. 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[J]. 电工技术学报, 2019, 34(21): 4441-4448. Zuo Shuguang, Huang Rongkui, Feng Zhaoyang, Hu Kun. Modeling and Analysis of Nonlinear Electromagnetic Force of Electric Shaker Considering Displacement Change of Driving Coil. Transactions of China Electrotechnical Society, 2019, 34(21): 4441-4448.
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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.181234          https://dgjsxb.ces-transaction.com/CN/Y2019/V34/I21/4441