电工技术学报  2022, Vol. 37 Issue (24): 6306-6318    DOI: 10.19595/j.cnki.1000-6753.tces.220478
电工理论 |
无线电能传输系统带双层有界磁屏蔽任意位置圆形线圈的耦合系数计算
李中启1,2, 林志远1, 杨鹏1, 易吉良1, 黄守道2
1.湖南工业大学轨道交通学院 株洲 412007;
2.湖南大学电气与信息工程学院 长沙 410082
Calculation of The Coupling Coefficient of an Arbitrarily Positioned Circular Coil for Wireless Power Transfer System with a Double-Layered Finite Magnetic Shield
Li Zhongqi1,2, Lin Zhiyuan1, Yang Peng1, Yi Jiliang1, Huang Shoudao2
1. College of Railway Transportation Hunan University of Technology Zhuzhou 412007 China;
2. College of Electrical and Information Engineering Hunan University Changsha 410082 China
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摘要 耦合系数是无线电能传输系统的关键参数之一,准确的耦合系数计算是优化无线电能传输系统结构和提高传输效率的重要理论依据。目前还没有带双层有界磁屏蔽任意位置圆形平面螺旋线圈之间的耦合系数计算方法。为此该文通过麦克斯韦方程组推导出双层有界磁屏蔽条件下的矢量磁位表达式,利用边界条件及空间几何关系得到任意空间位置的耦合系数公式。与传统的近似计算方法不同,该文所提出的耦合系数计算可以对圆形平面螺旋线圈间的耦合系数进行精确的数值求解。最后,以两个圆形平面螺旋线圈间多种相对位置的变化情况为例,计算值、仿真值与实验值吻合良好,验证了所提计算方法的正确性。
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李中启
林志远
杨鹏
易吉良
黄守道
关键词 无线电能传输圆形线圈磁屏蔽耦合系数计算    
Abstract:The coupling coefficient is one of the critical parameters in the wireless power transfer system. Its accurate calculation is vital for optimizing the structure of the wireless power transfer system and enhancing the transfer efficiency. However, there is no method for calculating the coupling coefficient between circular planar spiral coils with double-layered finite magnetic shields at an arbitrary position. In this paper, the expression of vector magnetic potential under the condition of a double-layer finite magnetic shield is derived from Maxwell's equations. Moreover, the equation of the coupling coefficient for an arbitrary position is obtained using the boundary conditions and geometric spatial relations. Different from the traditional approximate calculation method, the proposed coupling coefficient calculation can solve the exact coupling coefficient between circular planar spiral coils. Finally, taking various relative positions between two circular planar spiral coils as an example, the calculation, simulation, and experimental results are in good agreement, which verifies the correctness of the proposed calculation method.
Key wordsWireless power transfer    circular coils    magnetic shield    calculation of coupling coefficients   
收稿日期: 2022-04-01     
PACS: TM724  
基金资助:国家自然科学基金项目(11901188)、湖南省教育厅项目(20B186, 18A272)和湖南省自然科学基金项目(2019JJ60055)资助
通讯作者: 黄守道 男,1962年生,教授,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,研究生导师,研究方向为无线电能传输技术。E-mail: lizhongqi@hnu.edu.cn
引用本文:   
李中启, 林志远, 杨鹏, 易吉良, 黄守道. 无线电能传输系统带双层有界磁屏蔽任意位置圆形线圈的耦合系数计算[J]. 电工技术学报, 2022, 37(24): 6306-6318. Li Zhongqi, Lin Zhiyuan, Yang Peng, Yi Jiliang, Huang Shoudao. Calculation of The Coupling Coefficient of an Arbitrarily Positioned Circular Coil for Wireless Power Transfer System with a Double-Layered Finite Magnetic Shield. Transactions of China Electrotechnical Society, 2022, 37(24): 6306-6318.
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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.220478          https://dgjsxb.ces-transaction.com/CN/Y2022/V37/I24/6306