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

• 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

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（包括涡流计算）的有限元和边界元混合方法。在各种电磁量中，磁矢势A和电标量势φ广泛用于涡流分析。这种方法被称为A-phi方法。我们在边界元法和有限元法中都采用了量A-phi。对于某些问题，将边界元法的边界条件与通常的有限元法的边界条件结合起来，会变得非常复杂。为了避免这一困难，我们发展了一种新的边界元公式，该公式使用了磁位，虽然A-phi方法在理论上是令人满意的，但在三维分析中每个节点需要四个变量。为了减少未知量，提出了在混合方法中引入磁场强度H和磁标势psi，并将该方法应用于真实的电气设备：直线感应电机、磁悬浮系统、热疗系统和超导磁体系统，提出了一种新的电磁场优化设计方法。该优化设计方法是基于电磁场计算的有限元-边界元混合法和求解相应优化问题的数学规划法相结合。将优化设计方法应用于磁共振成像用带磁屏蔽的超导磁体系统和磁悬浮系统用混合磁体的设计中，得到了满意的结果。

项目成果

T.Onuki: "Improved boundary element formulation using scalar potential in hybrid BEーFE inethod applied to electromagnetic problems" Boundary Element 12th(SpringerーVerlag). 12. 295-305 (1990)

T.Onuki：“在应用于电磁问题的混合 BE-FE 方法中使用标量势改进了边界元公式”《边界元》第 12 期（Springer-Verlag）。

T.Onuki: "Improved boundary element formulation using scalar potential in hybrid BEーFE method applied to electromagnetic problems" Boundary Element 12th ( SpringerーVerlag ). 12. 295-305 (1990)

T.Onuki：“在应用于电磁问题的混合 BE-FE 方法中使用标量势来改进边界元公式”《边界元》第 12 期（Springer-Verlag）。

A.Ishiyama: "Optimal Design Technique for Magnetic field Problems using Hybrid Finite-Boundary Element Method and Mathematical Programming Method" Advances in Boundary Elements. 2. 196-206 (1989)

A.Ishiyama：“使用混合有限边界元法和数学规划方法的磁场问题优化设计技术”边界元进展。

H.Amano: "Design of the Hybrid Magnet in the Magnctic Levitation System by the Boundary Element MethoD" Proc.of the 11th Int.Cont.on Magnetically Lavitater System and Linear Drives. 441-446 (1989)

H.Amano：“通过边界元法设计磁悬浮系统中的混合磁体”第 11 届磁悬浮系统和线性驱动器国际会议论文集。

T. Onuki et al: "Investigation of End Effect and grad phi on Linear Induction Motor with Short Secondary" Trans. of IEE of Japan. 108-D. 1049-1055 (1988)

T. Onuki 等人：“短次级线性感应电机端部效应和梯度 phi 的研究”Trans。