Three-Dimensional Eddy Current Analysis by Hybrid Finite Element and Boundary Element Method

混合有限元和边界元法的三维涡流分析

基本信息

批准号：
63550223
负责人：
ONUKI Takashi
金额：
$ 1.6万
依托单位：
School of science and engineering, Waseda university
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1988
资助国家：
日本
起止时间：
1988 至 1990
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63550223/
关键词：
Finite element method Boundary element method Electromagnetic field analysis Three-Dimensional Eddy current Optimal design Inverse problem 境界要素法電磁界解析三次元場問題うず電流問題

项目摘要

We have been developing the Hybrid Finite Element and Boundary Element Method for three-dimensional electromagnetic field analysis includes eddy current calculation. Among various electromagnetic quantities, the magnetic vector potential A and the electric scalar potential phi are widely used for the eddy current analysis. This approach is known as the A-phi method. We adopts the quantities A-phi in both the boundary element method and the finite element method. For some problems, it is very complicated to complicated to combine boundary conditions of the boundary element method with those of the usual finite element method. To avoid this difficulty, we have developed a novel boundary element formulation using magnetic potential.Although the A-phi method is theoretically satisfactory, we need four variables for each node in three-dimensional analysis. In order to reduce the number of unknown variables, we proposed the adoption of the magnetic field intensity H and the magnetic scalar potential psi in the hybrid method.We applied the proposed method to the real electric apparatus ; linear induction motor, magnetic levitation system, hyperthermia and superconducting magnet system.We also developed a novel optimal design method for electromagnetic fields. The optimal design method is based on a combination of the hybrid finite element and boundary element method for electromagnetic field calculation and the mathematical programming method for solving corresponding optimization problem. Application of the optimal design method to practical examples ; superconducting magnet system with magnetic shielding for Magnetic Resonance Imaging and hybrid magnet for magnetic levitation system, gave satisfying results.

我们一直在开发用于三维电磁场分析的混合有限元和边界元素方法包括涡流计算。在各种电磁量中，磁性矢量电势A和电量表电位PHI被广泛用于涡流分析。该方法称为A-PHI方法。我们在边界元素方法和有限元方法中采用数量A-PHI。对于某些问题，将边界元素方法的边界条件与通常有限元方法的边界条件结合在一起是非常复杂的。为了避免这种困难，我们已经使用磁力开发了一种新型的边界元素公式。尽管A-PHI方法在理论上是令人满意的，但是在三维分析中，我们需要每个节点的四个变量。为了减少未知变量的数量，我们提出了在混合方法中采用磁场强度H和磁标势PSI。我们将提出的方法应用于真实的电气设备。线性感应电动机，磁性悬浮系统，高温和超导磁铁系统。我们还为电磁场开发了一种新颖的最佳设计方法。最佳设计方法基于用于电磁场计算的混合有限元和边界元素方法的组合以及用于解决相应优化问题的数学编程方法。将最佳设计方法应用于实际示例；具有磁共振成像的磁性屏蔽的超导磁铁系统和用于磁性悬浮系统的混合动力磁铁可得出令人满意的结果。