空心和Halbach永磁直线同步电机的牵引力和法向力分析

Analytical computation of normal and tangential forces in linear synchronous motor with air-core and Halbach permanent magnets

针对由空芯线圈和Halbach永磁结构组成的直线同步牵引电机,提出其牵引力和法向力的一种解析计算方法。首先从相同结构的旋转电机出发,推导得到其牵引力和法向力的解析计算公式;然后,将所得结果推广到直线电机结构,得到基于空芯线圈和Halbach永磁结构的直线同步电机牵引力和法向力的计算方法。所得解析解的有效性由有限元分析软件Ansoft Maxwell得到验证。此方法为基于空芯线圈和Halbach永磁结构的直线同步电机的结构设计和性能分析提供了基础。

An analytical method of calculating the normal and tangential forces in linear synchronous motor with air-core and Halbach permanent magnets is developed. First, the analytical solution to the normal and tangential forces of the rotary motor with the same structure is deduced. Then, the proposed method is extended to linear motor, and the analytical method of computing the normal and tangential forces in linear synchronous motor with air-core and Halbach permanent magnets is obtained. Finally, the effectiveness of the proposed analytical method is validated by Ansoft Maxwell, which is a famous finite element analytical software. The proposed solution provides an important tool for structure design and performance analysis of linear synchronous motor with air-core and Halbach permanent magnets.