三维涡流问题A,φ-Ω法分区变分原理<sup>*</sup>

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三维涡流问题A,φ-Ω法分区变分原理^*

基金项目: 国家自然科学基金资助项目(59375197)

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Univeristy, Shanghai 200072, P. R. China

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.
- 三维涡流场 /
- 分区变分原理 /
- A.φ-Ω法界面 /
- 连续条件
Abstract: 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 regions 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 satify electromagnetic continuity are obtained.
- 3-D eddy current field /
- divided region variational principle /
- A /
- φ-Ω mtheod

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