无线电能传输带凸字环形有界磁屏蔽任意位置圆形线圈互感计算方法  

Mutual Inductance Calculation Method of Arbitrarily Positioned Circular Coils with Convex Ring Type Finite Magnetic Shielding in Wireless Power Transfer

作　　者：林志远 李中启[1,2] 胡昌轩 陈钟棒 黄守道[2] Lin Zhiyuan;Li Zhongqi;Hu Changxuan;Chen Zhongbang;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》2024年第16期4918-4930,共13页Transactions of China Electrotechnical Society

基　　金：国家重点研发计划(2022YFB3403200);湖南省自然科学基金(2022JJ30226)资助项目。

摘　　要：互感是无线电能传输系统中的重要参数之一,精确计算互感可为无线电能传输设计及优化提供理论依据,然而目前带凸字环形有界磁屏蔽任意位置圆形线圈互感计算问题还未解决。该文提出空间边界矢量解析法对互感进行精确求解。此方法通过边界条件求解各区域磁矢势,利用空间矢量坐标变换法,结合诺依曼公式得到任意位置互感计算表达式。通过仿真和实验对所提公式的有效性进行验证,互感计算值和实验值之间误差最大为2.86%。互感计算值、仿真值和实验值吻合良好,验证了所提计算方法的正确性。该文所提模型结构,可为水下供电提供更灵活的布局,且在同等规格下,该模型结构相比传统圆盘形结构节省19.6%的材料,其除高角度偏转外互感可达到圆盘形互感的99%。In practice,the structure of the wireless power transfer(WPT)system varies for different application scenarios.And the relative position change between the coils of the transmission system will also be caused by the change of mutual inductance.This affects the transmission efficiency.How to quickly and accurately calculated the mutual inductance is a key step in the process of designing and optimizing the structure of WPT systems.Therefore,it is important to study the calculation method of mutual inductance of coils in WPT system under different relative positions.There is no method for mutual inductance calculation of arbitrary positioned circular coils with convex ring type finite magnetic shielding.This paper established the model for mutual inductance calculation of circular coil with convex ring type finite magnetic shielding in arbitrary position.The spatial boundary vector analysis method is proposed for the exact solution of mutual inductance.This method is solved for the magnetic vector potential in each region by boundary conditions.The space vector coordinate transformation method is utilized.The expression for the calculation of mutual inductance in arbitrary position is obtained by combining Neumann's formula.The validity of the proposed formula is verified by simulations and experiments from four variations of coil relative position vertical offset,horizontal offset,horizontal angular deflection and horizontal offset plus angular deflection.The calculated results of the proposed formula are compared with the simulated and experimental results as follows:(1)The maximum error of the calculated results with the simulated and experimental results for vertical offset are 2.84% and 2.48%,respectively.(2)The maximum error of the calculated results with the simulated and experimental results for horizontal offset are 1.49% and 2.85%,respectively.(3)The maximum error of the calculated results with the simulated and experimental results for horizontal angular deflection are 3.26% and 2.86%,respectively.(4)The

关 键 词：无线电能传输 环形磁屏蔽 圆形线圈 互感计算 

分 类 号：TM724[电气工程—电力系统及自动化]