中文摘要：

研究悬浮系统的动力学特性时,需要计算电磁铁与轨道间存在俯仰角情况下的电磁力与电磁转矩。由于此时磁场分布不均匀,常用的计算方法不能满足要求。该文采用许-克变换法把电磁铁磁场与已知分布的简单场对应起来,得到磁场分布的解析解,进而得到电磁铁与轨道平行和存在俯仰角2种情况下的电磁力与电磁转矩的计算公式。最后,利用有限元分析软件对磁场进行数值计算,结果表明,基于许-克变换法得到的电磁力与电磁转矩更接近于采用有限元的计算结果。

英文摘要：

The electromagnetic force and torque should be calculated when suspension system dynamics are studied.If there exists pitch angles between the electromagnets and the rails,the distribution of magnetic field would be not uniform and the usual methods cannot satisfy our requirements.The magnetic field of the electromagnet and the simple magnetic field can be related with each other through Schwarz-Christoffel transform,and based on this relationship,the analytical solution of the magnetic field distribution can be obtained for electromagnet.The formulas of electromagnetic force and torque have been derived in two circumstances where the electromagnets and the rails are parallel or there exists pitch angles between them.The electromagnetic force and torque have been computed based on finite element method （FEM）.The results show that the calculation of electromagnetic force and torque based on Schwarz-Christoffel transform has higher accuracy.