摘要
线圈之间的互感是感应电能传输(IPT)系统设计的一个关键参数,准确地计算两个线圈之间的互感是优化IPT系统结构及提高传输效率的理论依据。该文利用二阶矢量位建立了两个矩形螺线线圈之间互感的解析模型。首先,将矩形螺线线圈简化为一系列矩形截面的同轴单矩形线圈,从而将矩形螺线线圈的磁场分布及其互感计算问题转为多个同轴单矩形线圈相应问题的叠加。然后,基于二阶矢量位公式,推导了矩形发射线圈的标势表达式,并在此基础上计算了穿过矩形接收线圈的磁通量。最后,推导了含有二重广义积分项的矩形螺线线圈互感的解析表达式,并以两个相同形状的矩形螺线线圈为例进行了模型验证,计算结果与实验测量值吻合良好。该方法可以为使用矩形螺线线圈作为耦合器件的IPT系统提供参数优化依据。
The mutual inductance between two coils is a key parameter in the design of inductive power transfer （IPT） system, and the effective calculation of mutual inductance is the theoretical foundation of optimizing IPT system structure and improving its transmission efficiency. In this paper, an analytical model of mutual inductance between two rectangular spiral coils is established by using second order vector potential （SOVP）. The rectangular spiral coil is first simplified as a series of co-axial single rectangular coils with rectangular cross-section. Thus, the magnetic field distribution of the rectangular spiral coil and its mutual inductance calculation are transformed into the superposition of the corresponding problems of multiple co-axial single rectangular coils. Then, the scalar potential of the primary single rectangular coil is deduced based on the SOVP formulae, and the magnetic flux through the second rectangular coil is calculated accordingly. Finally, the analytic expression for mutual inductance of rectangular spiral coils with a double generalized integral term is derived. Two identical rectangular spiral coils are taken as an example for the verification of theoretical model additionally, and the calculated results are in good agreement with the experimental measurements. The proposed method can provide the basis for parameter optimization for the IPT systems using rectangular spiral coils as coupling devices.
出处
《电工技术学报》
EI
CSCD
北大核心
2018年第3期680-688,共9页
Transactions of China Electrotechnical Society
关键词
互感
矩形螺线线圈
二阶矢量位
解析模型
耦合系数
感应电能传输
Mutual inductance, rectangular spiral coil, second order potential, analytical model, coupling coefficient, inductive power transfer
