【摘要】 偏置绕组的分数槽永磁同步电机存在严重的不平衡磁拉力（UMP），通过研究9槽6极、9槽10极以及满足极槽关系的9槽8极、9槽10极的单元电机，分析转子受到的UMP，找出消除UMP的方法，以选择合适的极槽配合。采用有限元法和解析法，利用Magnet软件，建立9槽6极、9槽8极、9槽10极和9槽12极的电机模型，4种电机的主要参数相同，仿真4种电机的合成磁场和UMP,2种方法得到的结果相差0.001，可忽略不计。结果显示，9槽6极和9槽12极的合成磁场分布均匀，UMP是0.25 N，接近于0;9槽8极和9槽10极的合成磁场不均匀，UMP分别为210 N和71 N。最终发现总槽数Z和极对数p的最大公约数GCD（单元电机的数目），GCD越大，磁路对称性越好，电机空间内任意一个绕组与其余的（GCD-1）个绕组相对转子中心对称分布，绕组和转子之间作用的径向电磁力幅值相同，且相对于电机转子中心对称分布，理想情况下，转子受到的UMP的合外力为0。更多还原

【Abstract】 A fractional-slot permanent magnet synchronous motor with a bias winding experiences significant unbalanced magnetic pull(UMP). The UMP on the rotor by studying unit motors with 9-slot/6-pole, 9-slot/10-pole configurations is investigated, as well as 9-slot/8-pole and 9-slot/10-pole configurations that satisfy the pole-slot relationship. The aim is to analyze UMP and identify methods to eliminate it by selecting appropriate pole-slot combinations. Using both finite element analysis and analytical methods, the motor models in Magnet software for 9-slot/6-pole, 9-slot/8-pole, 9-slot/10-pole, and 9-slot/12-pole configurations are established. The four motors share identical key parameters. The combined magnetic fields and UMP of these four motors are simulated, with results differing by only 0.001 between the two methods——a negligible variance. The results show that the 9-slot/6-pole and 9-slot/12-pole motors uniformly distribute combined magnetic fields, with UMP values of 0.25 N, approaching zero. In contrast, the 9-slot/8-pole and 9-slot/10-pole motors exhibit non-uniform magnetic fields, with UMP values of 210 N and 71 N, respectively. The study ultimately reveals that the greatest common divisor(GCD)between the total number of slots and the number of pole pairs represents the number of unit motors. A larger GCD indicates better magnetic circuit symmetry.Within the motor space, any given winding is symmetrically distributed relative to the rotor center alongside the remaining(GCD-1)windings.The radial electromagnetic forces acting between the windings and the rotor have equal magnitude and are symmetrically distributed relative to the rotor center. Under ideal conditions, the resultant UMP force on the rotor is zero.更多还原