电机电磁场问题的改进区域分解配点法求解

摘要

To solve the problem of determining the electromagnetic fields near material interfaces,we have proposed coupling the domain decomposition method with radial basis functions (RBFs) mesh-free.Discontinuities in the derivatives of the fields are not easily modeled with these infinitely smooth functions.To alleviate this difficulty,the use of special functions near material interfaces has been proposed but these functions can be difficult to implement ,and thus cumbersome to use.We also applied the method in the analysis of a simplified electrostatic electric machine cogging.The results demonstrate good agreement with other numerical technique,showing the adequacy of the proposed methodology for electromagnetic analysis.%电机电磁场分析中涉及不同媒质交界面,针对直接采用无单元方法存在较大误差的问题,提出了将改进的区域分解方法与径向基配点法耦合的方法,并应用到汽轮发电机的转子电磁场分析中.给出了具体的推导过程和实施步骤,并进行了数值验证,计算结果表明,比普通的区域分解径向基方法更加接近解析解.汽轮发电机转子励磁绕组的仿真结果也与实际的工程状况相符合,同时提高了计算精确度和速度.