摘要
针对表贴式永磁电动机的齿槽转矩问题,研究了一种电机空载气隙磁场和齿槽转矩的解析计算方法。通过对永磁电动机的槽型进行四组保角变换,引入复数气隙磁导函数,建立了表贴式永磁电动机气隙磁密的径向和切向分量解析模型;分析四组保角变换,利用麦克斯韦张力法计算永磁电动机的齿槽转矩。针对样机,利用解析法和有限元法分析极弧系数和槽口宽度对齿槽转矩的影响,结果表明:解析法计算的空载气隙磁场和齿槽转矩与有限元方法计算结果相吻合,其中齿槽转矩相差7.6%;利用解析法选取合理的极弧系数和槽口宽度,可有效地减小齿槽转矩,当样机的极弧系数取0.858和槽口宽度取1 mm时,齿槽转矩分别减小75%和57%。
An analytical method was presented to solve this problem in the slotted air gap of a surface permanent mag- net （PM） motor with radial magnetization. The method introduced the notion of complex relative air-gap permeance, calcu- lated from the conformal transformation of the slot geometry, to take into account the effect of slotting. As a result, an accu- rate solution of both radial and tangential components of the flux density can be obtained. As an example of the effectiveness of the model, the cogging torque was calculated by integrating the Maxwell stress tensor inside the air gap of PM motor. The obtained waveforms show excellent agreement with the results of finite-element simulations to verify the validity of the ana- lytical model. The proposed analytical solution was implemented on a 4-pole 24-slot surface PM motor, and the cogging torque decreased 75% with the pole arc coefficient of 0. 858 and decreased 57% with the slot width of 0.1 mm.
出处
《微特电机》
北大核心
2012年第12期10-15,共6页
Small & Special Electrical Machines
基金
国家自然科学基金(51177153)
关键词
永磁电动机
气隙磁场
齿槽转矩
解析计算
PM motor
air-gap magnetic field
cogging torque
analytical calculation
