轴流永磁磁悬浮电机的三维解析建模

Wei Qin;Gang Lv;Yuhua Ma
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引用次数: 1

摘要

建立了轴流永磁磁悬浮电机(AFPMMM)磁场的三维分析模型,研究了结构参数对电磁特性的影响。首先,介绍了AFPMMM的拓扑结构和工作原理,并将其转换为三维笛卡尔坐标系下的数学模型。然后,应用体积积分法和等效电流片模型,求出Halbach转子的三维磁场分布函数。将二维离散傅立叶变换(2-DFT)应用于三维磁场分布函数,可以得到统一的形式表达式。第三,将AFPMMM的导电区和非导电区用二阶矢量势(SOVP)表示,建立三维解析模型。推导了升力、转矩和功率损失的表达式。此外,基于三维分析模型分析了AFPMMM的电磁特性与结构参数之间的关系,并利用三维有限元分析进行了验证。最后,在小型样机上进行了实验,验证了分析结果。
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Three-dimensional Analytical Modeling of Axial Flux Permanent Magnets Maglev Motor
The three-dimensional(3D) analytical model of the magnetic field in an Axial Flux Permanent Magnets Maglev Motor(AFPMMM) is proposed and investigated the influence of the structural parameters on electromagnetic characteristics. Firstly, the topology and working principle of the AFPMMM is introduced, and the model is transferred into a mathematical model in 3D cartesian coordinate. Then, the volume integral method and equivalent current sheets model is applied to find the 3D magnetic field distribution function of Halbach rotor. A unified form expression can be obtained by two dimensional discrete fourier transform (2-D DFT) is applied on the 3D magnetic field distribution function. Thirdly, the conductive and nonconductive regions of AFPMMM will be formulated by the second order vector potential (SOVP) to built the 3D analytic model. The expression of the lift force, torque and power losses was derived. Besides, the relationship between electromagnetic characteristics and structural parameters of the AFPMMM were analyzed based on 3D analytic model and validated using the 3D finite element analysis(FEA). Finally, the experiments based on a small scale prototype are carried out to verify the analytical results.
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