计算电机气隙磁场的新方法——网络图论法

A New Method with Calculating Air-gap Magnetic Field in an Electric-Machine——Network GraphTheoretic Method

由于电机气隙磁场与无源区域中的恒定电流场有相同的数学描述，本文从相似理论出发，直接导出了该两种场在场域离散后所满足的方程，使电机气隙磁场的计算可以转化为在网络模型上的分析计算。本文通过电机气隙磁场的实际计算，充分证明了网络图论法具有物理概念清楚、数学处理简单、编程容易、能适用于非均匀介质场及具有复杂边界场的计算，且具有计算精度高等一系列优点。

It is because that the mathematics description of the air-gap magnetic field in an electric-machine is the same with the constant-current field,the equations which are satisfied for spatial discrete field region have been developed directly from analogical theory in this paper,so that the calculation of air-gap magnetic-field in an electric-machine can be transferred to the analysis on a network model. The real calculation of air-gap magnetic field in an electric-machine demonstrated fully that the network graph-theoretic method have many advantages which are:physical concept is clear,mathematical treatment is simple,process technique is easy,calculated accuracy is good and this method is suited to calculate the field that is inhomogeneous media problem and complicated boundary condition.