板式双边永磁电动悬浮电磁力计算

针对现有电动悬浮模式的缺点,研究了一种由导体板和双边Halbach永磁阵列构成的悬浮系统。相比单边电动悬浮,该系统电磁阻力更小,适用于城市轨道交通。分别采用解析法和有限元法对其产生的电磁力进行计算。首先,建立了空间矢量磁位方程,通过求解该方程可得导体板中涡流分布;其次,研究了空间磁场与涡流的相互作用,得到了电磁力的2D解析表达式,建立了2D和3D有限元模型,计算了不同速度下的电磁力、磁场与涡流,并得出解析法与2D有限元法的平均相对误差为1.7%;最后,通过与单边电动悬浮对比,证明了该悬浮模式可有效提高浮阻比,减小阻力损耗。

Calculation of Electromagnetic Force of Plate Type Null Double Side Permanent Magnet Electrodynamic Suspension

In view of the existing weaknesses, a new suspension system, composed of conducting sheet and double Halbach array, was proposed in this paper. Compared with single Halbach array system, this device could create least drag force, and it is more suitable for urban transportation. Analytic and finite element methods were used to calculate the forces created by this device. First, the differential equations of magnetic vector potentials were built, and accordingly the distribution of eddy current can be deduced. Second, in order to get the expression of forces, the relationship between magnetic field and current was studied. 2D and 3D finite element models were built. The magnetic forces, field and eddy current in different velocities were calculated. The relative error between analytic method and 2D FEM is 1.7%. At last, compared with single Halbach suspension system, the levitation-to-drag ratio highly increased in this model.