基于精确子域模型法的表贴式直线电机永磁体磁场解析

Analytical modeling of magnetic field of permanent magnet in surface mounted linear motors based on exact subdomain model method

在永磁同步电机的设计工作中,磁场解析计算是一项十分重要的工作。为此,针对表贴式直线电机永磁体的磁场开展了解析建模工作。首先,将伪周期法与精确子域法相结合,求解出了在特定伪周期下的永磁体虚拟阵列的磁场分布解析式;其次,使伪周期趋近无穷,利用傅里叶级数与傅里叶变换之间的对应关系,求得单个永磁体的磁场分布解析式,并借助有限元方法仿真验证了其准确性;再次,利用永磁体的磁场分布解析式,推导了一类表贴式直线电机的永磁体阵列的磁场分布解析式,实现了对于表贴式直线电机磁场的精确刻画;最后,利用有限元方法仿真验证了准确性。

In the design of permanent magnet synchronous motors,magnetic field analysis and calculation is a very important task.The magnetic field modeling of permanent magnets in surface mounted linear motors has been studied.Firstly,by combining the pseudo period method with the precise subdomain method,the analytical expression for the magnetic field distribution of the virtual array of permanent magnets under specific pseudo periods was solved.Then,by rendering the pseudo periodvirtually infinite,and using the corresponding relationship between Fourier series and Fourier transform,the analytical formula of the magnetic field distribution of a single permanent magnetis obtained,and its accuracy was verified by using the finite element method simulation.Furthermore,by using the analytical expression for the magnetic field distribution of permanent magnets,the magnetic field distribution of a type of surface mounted linear motor′s permanent magnet array analytical expression was derived,achieving accurate characterization of the magnetic field of the surface mounted linear motor.Finally,the accuracy was verified through finite element simulation.