考虑涡流及漏磁影响的径向磁轴承耦合磁路建模方法

Modeling of coupled magnetic circuit of radial magnetic bearing considering the influence of eddy current and magnetic leakage

针对自传感磁轴承建模的电感估计和悬浮力精度问题,以8极异极磁轴承为对象,考虑气隙磁通的边缘效应,建立了包含涡流和漏磁计算的耦合磁阻网络模型(RNM)。引入动态相对磁导率,利用等效建模替代方法得到涡流对磁场的影响规律。基于上述模型,进行了不同偏心距下的磁轴承电感和磁通的计算以及同时考虑涡流和漏磁影响下的悬浮力计算。数值仿真结果表明,磁路中电感和磁通的参数计算误差不超过5%,考虑涡流和漏磁后的悬浮力计算具有较高精度,研究结果可为基于电感估计位移的自传感磁轴承提供有益参考。

In order to solve the problem of low accuracy of inductance estimation and levitation force in self-sensing magnetic bearing modeling,a coupled reluctance network model(RNM)with eddy current and flux leakage calculation is established,considering the edge effect of air gap flux in 8-pole magnetic bearing.The dynamic relative permeability is introduced and the effect of eddy current on the magnetic field is obtained by using equivalent modeling alternative method.Based on the above model,the inductance and magnetic flux of magnetic bearing with different eccentricity and the suspension force with eddy current and magnetic flux leakage are calculated.The numerical simulation results show that the calculation errors of inductance and magnetic flux in the magnetic circuit are less than 5%,and the suspension force calculation after considering eddy current and magnetic flux leakage have a high accuracy.The research results can provide a useful reference for self-sensing magnetic bearing based on the displacement estimation of inductance.