The zigzag leakage flux of axial flux permanent magnet (AFPM) machine with fractional slot windings is bigger than other kinds of AFPM machine.Accurate calculation of leakage flux factor is very important during designing machines by equivalent magnetic lumped circuit method,however,accurate calculation of leakage flux factor is on the premise of accurate calculation of zigzag leakage flux factor.Based on the magnetic flux distribution characteristics of AFPM machine,the analytic formulas of zigzag leakage flux were derived at different position angles between teeth and poles.In order to evaluate validity of the analytic formulas,the leakage flux factors were calculated with analytic method and finite element method (FEM) by taking a machine scheme as an example.The calculated results by analytic method are accordant with the ones by FEM.The relationship of zigzag leakage flux and poles was given in this paper,it provides a reference for the designers who design and optimize the machine design schemes.%分数槽绕组轴向磁通永磁(AFPM)电机的齿顶漏磁较大.在利用等效磁路计算程序调试电机设计方案时,需要准确计算漏磁系数,而准确计算漏磁系数的前提是准确计算齿顶漏磁系数.根据轴向磁通永磁电机磁通路径的分布特点,针对定子齿和磁极不同的相对位置,给出了不同位置角时的齿顶漏磁解析公式.为了验证解析公式的正确性,以一台电机的设计方案为例,采用解析法和有限元法分别计算漏磁系数,结果表明解析计算结果和有限元计算结果具有较好的一致性.最后给出了齿顶漏磁与电机极数之间的关系,为电机设计和优化提供了参考.
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