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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.

使用计算机软件设计电磁装置现在几乎是普遍的。电磁场中的现象是电磁机器许多方面的核心，本质上遍布无限空间。我们有时必须严格地考虑无限区域，例如估算超导磁体产生的磁场。本研究的目的是为开边界电磁场的数值计算提供一种有用的方法，特别关注三维涡流问题。有限元法和边界元法是数值分析中非常有用的两种方法，它们具有完全不同的特点。这两种方法似乎是互补的伙伴，而不是对手。有限元法适用于分析这种包含非线性材料的复杂区域。但它在处理无限扩展的领域时存在一些缺点。另一方面，边界元法对于分析非常大的线性场是有用的。因此，结合这些方法的优点，本研究采用有限元-边界元混合法（FE-BE）进行三维涡流分析。有限元法和边界元法都可以采用各种物理量作为未知量，因此两种方法的联合收割机有多种结合方式。在本研究中，我们提出了几种混合公式，其中某些物理量作为未知数。各自的混合方法的优点和缺点进行检查。提出了适合于有限元与边界元相结合的边界元离散方法。本研究所提出的方法都得到了具体算例的验证。