三维非线性磁场计算中不同算子方程的研究  

The Study of Formulations of Different Operator in 3-D Nonlinear Magnetic Field Calculation

作　　者：姚勇涛[1] 张逸成[1] 盛专成[1] 

机构地区：[1]上海铁道大学,200033

出　　处：《低压电器》1996年第3期20-23,共4页Low Voltage Apparatus

摘　　要：本文证明了在二维非线性磁场情况下,二种算子方程和是等价的,但后者不能推广应用于三维非线性情况.本文还证明了即使对μ采用分片线性化的处理方法,从有限元离散过程中可以发现,离散后产生的面积分项不能象离散后的面积分项互相抵消,不加处理会在单元交界面上产生的错误.所以,是三维非线性磁场计算的基本方程.The paper proves that in the 2-D nonlinear magnetic field case, both theequations A = J and are right. But the latter can't be extended into 3-D nonlinear case. The paper also proves that even with the piecewise linearization treatment for nonlinear n in every element, the latter formulation is still not suitable in the 3-D nonlinear condition. The H= H21 will not be satisfied automatically on the interfaces of elements, in which , if special treatment are not done. So thecurlcurl operator formulation yx - yx A = J is the basic formulation in 3-D nonlinear magnetic field FEM calculation.

关 键 词：三维非线性磁场 有限元 算子方程 计算 

分 类 号：TM153[电气工程—电工理论与新技术]