电工技术学报  2022, Vol. 37 Issue (17): 4294-4305    DOI: 10.19595/j.cnki.1000-6753.tces.211293
电工理论与新技术 |
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
李中启1,2, 李晶1, 全倡辉3, 张学毅3, 黄守道2
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
Mutual Inductance Calculation of Arbitrarily Positioned Rectangular Coils with Magnetic Shielding in Wireless Power Transfer Systems
Li Zhongqi1,2, Li Jing1, Quan Changhui3, Zhang Xueyi3, Huang Shoudao2
1.College of Transportation Engineering Hunan University of Technology Zhuzhou 412007 China;
2. College of Electrical and Information Engineering Hunan University Changsha 412008 China;
3. College of Electrical and Information Engineering Hunan University of Technology Zhuzhou 412007 China
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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。
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李中启
李晶
全倡辉
张学毅
黄守道
关键词 无线电能传输矩形线圈互感计算磁屏蔽    
Abstract: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.
Key wordsWireless power transfer    rectangular coils    mutual inductance calculation    magnetic shielding   
收稿日期: 2021-08-15     
PACS: TM724  
基金资助:国家自然科学基金(11901188)、湖南省教育厅项目(20B186, 18A272)和湖南省自然科学基金(2019JJ60066)资助
通讯作者: 黄守道 男,1962年生,博士,博士生导师,研究方向为特种电机本体及控制、无线电能传输技术。E-mail:hsd1962@hnu.edu.cn   
作者简介: 李中启 男,1985年生,博士,助理教授,研究生导师,研究方向为无线电能传输技术。E-mail:my3eee@126.com
引用本文:   
李中启, 李晶, 全倡辉, 张学毅, 黄守道. 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[J]. 电工技术学报, 2022, 37(17): 4294-4305. Li Zhongqi, Li Jing, Quan Changhui, Zhang Xueyi, Huang Shoudao. Mutual Inductance Calculation of Arbitrarily Positioned Rectangular Coils with Magnetic Shielding in Wireless Power Transfer Systems. Transactions of China Electrotechnical Society, 2022, 37(17): 4294-4305.
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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.211293          https://dgjsxb.ces-transaction.com/CN/Y2022/V37/I17/4294