【摘要】 球形感应电机转子结构简单，均匀球体各方向的转动惯量相同，有助于减小电机多自由度运动时的转速波动，减小控制系统的设计难度．软磁复合材料(SMC)具有损耗小、适用于三维磁路设计、易于加工且成本较低的优越性．针对一种SMC材料的球形感应电机研究了其定子磁场的分析方法，首先，根据SMC球形感应电机定子线圈排布方式在空间中的对称性，提出了一种由单组线圈磁场综合球形感应电机整体磁场的研究策略，通过分析单组线圈通电磁场的等效磁路验证了该研究策略的可行性；其次，将球形感应电机单组线圈三维磁场简化为单组线圈二维磁场模型，进而建立了二维模型的等效磁网络模型并求解了气隙磁密分布，通过球谐波系数(SHC)的旋转变换获得了球形感应电机整体定子磁场；结合有限元仿真分析了等效磁网络模型同单组线圈三维磁场和单组线圈二维磁场的相对误差，相对误差的平均值分别为13.34%和18.53%，在气隙磁密较大的区间内，三者的相对误差最大不超过4.50%，从而验证了等效磁网络模型求取气隙磁密的正确性；最后，搭建了样机的软硬件实验平台，获得了不同工况下样机的气隙磁密数据．实验结果表明，样机的磁场特性与理论分析基本一致，验证了所提出的定子磁场分析方法的正确性和实用性．更多还原

【Abstract】 A spherical induction motor has a simple structure and the same moment of inertia in all directions,which is helpful to reduce the speed fluctuation and the difficulty of the control system design. Soft magnetic composites(SMCs)have advantages of low loss, suitability for a three-dimensional magnetic circuit design, easy processing,and low cost. The stator magnetic field analysis method of an SMC spherical induction motor was studied. First,according to the symmetical arrangement of stator coils in the space,a research strategy was proposed,which synthesized the whole magnetic field of the spherical motor by the magnetic field of the single-coil group. The feasibility was verified by analyzing the equivalent magnetic circuit of the single-coil group. Second,the 3D magnetic field of the coil group was simplified to a 2D model. Thereafter,the equivalent magnetic network model was established,and the distribution of the air gap flux density was solved. The whole stator magnetic field of the motor was obtained via the rotation transformation of the spherical harmonic coefficient(SHC). The average relative errors between the equivalent magnetic network model and the finite element simulation models of 3D and the 2D magnetic field of a single couple of the coil are 13.34% and 18.53%,respectively. The relative error is less than 4.50%,where the magnetic density is large,so that the accuracy of the equivalent magnetic network model was verified. The hardware and software experimental platforms of the prototype were built,and the air gap magnetic flux density of the prototype in different conditions was obtained. The experimental results showed that the magnetic field characteristics of the prototype were consistent with those of the theoretical analysis,verifying the correctness and the practicability of the stator magnetic field analysis method.更多还原