3D Eddy Current Analysis by the Hybrid FE-BE Method Using Magnetic Field Intensity

使用磁场强度的混合 FE-BE 方法进行 3D 涡流分析

基本信息

批准号：
03650240
负责人：
ONUKI Takashi
金额：
$ 1.22万
依托单位：
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：
1991
资助国家：
日本
起止时间：
1991 至 1993
项目状态：
已结题

项目摘要

The use of computer software for the design of electromagnetic devices is now almost universal. The phenomena in electromagnetic fields, which are central to many aspects of electro magnetic machines, intrinsically spread over the infinite space. We sometimes have to consider the infinite region rigorously, e.g. for estimating the mangetic field made by superconduting magnets. The purpose of this research is to provide a useful method for the numerical calculation of electromagnetic field with open boundary, and particular attention is given to the 3-D eddy current problems. The finite element method (FEM) and the boundary element method (BEM), which have entirely different features from each other, are very useful for numerical analysis. Both methods seem to be complementary partners and not opponents. The FEM suits for the analysis of such a coplicated region which includes no-linear materials. However, it has some disadvantages in dealing with the infinitely extending fields. On the other hand, the BEM is useful for analyzing very large linear fields. Therefore taking account of the advantages in these methods, this research is concerned with the hybrid finite element and boundary element (FE-BE) method for the 3-D eddy current analysis. Both the FEM and the BEM can adopt various kinds of physical quantities as unknowns, so ther are many ways to combine both methods. Inthis research we have proposed several hybrid formulations in which some kinds of physical quantities are adopted as unknowns. The advantages and disadvantages of respective hybrid methods are examined. The appropriate boundary element discretization using edge elements is also developed, which is suitable for combining the FE region with the BE region. The approaches proposed in this research are always verified by concrete munerical examples.

现在，电磁设备设计计算机软件现在几乎是通用的。电磁场的现象是电磁机的许多方面核心的现象，它本质地分布在无限的空间上。有时我们必须严格考虑无限区域，例如用于估计超跟踪磁铁制造的曼特田。这项研究的目的是为电磁场的数值计算提供有用的方法，并特别注意3-D涡流问题。具有完全不同特征的有限元方法（FEM）和边界元素方法（BEM）对于数值分析非常有用。两种方法似乎都是互补的伙伴，而不是对手。用于分析此类包装区域的FEM套件，该区域包括无线性材料。但是，它在处理无限扩展的领域方面存在一些缺点。另一方面，BEM可用于分析非常大的线性场。因此，考虑到这些方法的优点，这项研究与3-D涡流分析的混合有限元和边界元素（FE-BE）方法有关。 FEM和BEM都可以采用各种物理量作为未知数，因此有很多方法可以结合这两种方法。在这项研究中，我们提出了几种混合制剂，其中采用了某种物理量作为未知数。研究了各自的混合方法的优点和缺点。还开发了使用边缘元素的适当边界元素离散化，这适用于将Fe区域与BE区域结合在一起。这项研究中提出的方法始终通过具体的社会示例来验证。