三维涡流问题A,φ-Ω法分区变分原理  

A Divided Region Variational Principle of A,φ_Ω Method for 3_D Eddy Current Problems

作　　者：赵兴华[1,2] 施展伟[1,2] 

机构地区：[1]上海市应用数学和力学研究所 [2]上海大学

出　　处：《应用数学和力学》1998年第12期1049-1054,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金

摘　　要：本文给出了在涡流区、场源区采用矢量磁位Ａ、标量电位φ，而在非导电区（气隙）采用标量磁位Ω，来求解三维涡流问题的分区变分原理·通过泛函变分能得到不同区域内的控制方程，自然边界条件，以及满足电磁连续性要求的区域界面连续条件·In this paper, a divided region variational principle to solve 3_D eddy current problems was given. It adopts the magnetic vector potential A and the electric scalar potential φ in the eddy current rgeions and the source regions, and the magnetic scalar potential Ω in the non_conducting regions (air gap). Using variation of the functional, all governing equations in various regions, the natural boundary conditions and the interface continuity conditions which satisfy electromagnetic continuity are obtained.

关 键 词：三维 涡流场 分区变分原理 矢量磁位 标量电位 

分 类 号：TM154.21[电气工程—电工理论与新技术]