无线电能传输系统带磁屏蔽任意位置矩形线圈的互感计算  

Mutual Inductance Calculation of Arbitrarily Positioned Rectangular Coils with Magnetic Shielding in Wireless Power Transfer Systems

作　　者：李中启 李晶[1] 全倡辉 张学毅 黄守道[2] Li Zhongqi;Li Jing;Quan Changhui;Zhang Xueyi;Huang Shoudao(College of Transportation Engineering Hunan University of Technology,Zhuzhou 412007,China;College of Electrical and Information Engineering Hunan University,Changsha 412008,China;College of Electrical and Information Engineering Hunan University of Technology,Zhuzhou 412007,China)

机构地区：[1]湖南工业大学交通工程学院,株洲412007 [2]湖南大学电气与信息工程学院,长沙412008 [3]湖南工业大学电气与信息工程学院,株洲412007

出　　处：《电工技术学报》2022年第17期4294-4305,共12页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(11901188);湖南省教育厅项目(20B186,18A272);湖南省自然科学基金(2019JJ60066)资助。

摘　　要：互感是无线电能传输系统的一个关键参数,在电动汽车线圈耦合机构中添加磁屏蔽材料,可以有效减少磁泄漏,增强线圈之间的互感。目前还没有方法计算带磁屏蔽任意位置矩形线圈之间的互感。为此该文基于双傅里叶变换和麦克斯韦方程组推导了带磁屏蔽条件下的磁通密度。并在此基础上,利用空间直角坐标变换法,得到了任意相对位置两个矩形线圈的互感计算式。与传统的近似计算方法不同,所提出的方法是计算互感的解析方法,可以对线圈间互感进行精确的数值求解。最后,以两个具有多种位置变化情况的矩形螺旋线圈为例进行了模型验证,互感的理论计算值和有限元仿真结果及实验结果吻合良好,验证了所提方法的有效性。Mutual inductance is a key parameter of the wireless power transfer(WPT)system.Themagnetic leakage can be reducedand the mutual inductance between coupling coils can be enhancedby adding the magnetic shielding for the electric vehicle.However,there is currently no method to calculate the mutual inductance between arbitrarily positioned rectangular coils with magnetic shielding.In this paper,the magnetic flux density of coils with magnetic shielding is derived by the Dual Fourier transform and Maxwell's equations.On this basis,the mutual inductance of two arbitrarily positioned rectangular coils is obtained by applying the spatial rectangular coordinate transformation method.The obtained method is different from the traditional approximate calculation method.It is an analytical method that can accurately numerically solve the mutual inductance between coils.Finally,the mutual inductance calculation formula is verified by two rectangular spiral coils with various position changes.The calculated results are in good agreement with the simulated and experimental results,which verifies the effectiveness of the proposed method.

关 键 词：无线电能传输 矩形线圈 互感计算 磁屏蔽 

分 类 号：TM724[电气工程—电力系统及自动化]