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  

Calculation of The Coupling Coefficient of an Arbitrarily Positioned Circular Coil for Wireless Power Transfer System with a Double-Layered Finite Magnetic Shield

作　　者：李中启[1,2] 林志远 杨鹏[1] 易吉良[1] 黄守道[2] Li Zhongqi;Lin Zhiyuan;Yang Peng;Yi Jiliang;Huang Shoudao(College of Railway Transportation Hunan University of Technology,Zhuzhou 412007 China;College of Electrical and Information Engineering Hunan University,Changsha 410082 China)

机构地区：[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

出　　处：《电工技术学报》2022年第24期6306-6318,共13页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金项目(11901188);湖南省教育厅项目(20B186,18A272);湖南省自然科学基金项目(2019JJ60055)资助。

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。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.

关 键 词：无线电能传输 圆形线圈 磁屏蔽 耦合系数计算 

分 类 号：TM724[电气工程—电力系统及自动化]