Extended Finite Element Method for Calculation of Eddy Currents at High Frequencies

被引：1

作者：

Hiruma, Shingo ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Engn, Kyoto 6158510, Japan

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2023年 / 59卷 / 05期

关键词：

Eddy currents; extended finite element method (XFEM); skin effect; surface impedance boundary condition (SIBC);

D O I：

10.1109/TMAG.2023.3246629

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The extended finite element method (XFEM) is used for calculating eddy currents at high frequencies, which reduces the number of unknowns in conductive materials. In this study, 2-D and 3-D models are analyzed numerically, and the solutions are compared with the solution obtained using the conventional FEM (CFEM). The proposed method is shown to give the accurate eddy current distribution and Joule losses for a wide range of frequencies even when the skin depth is smaller than the size of elements in a mesh.

引用

收藏

页数：4

相关论文

共 9 条

[1] A review of extended/generalized finite element methods for material modeling [J].

Belytschko, Ted ;

Gracie, Robert ;

Ventura, Giulio .

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2009, 17 (04)

[2] Homogenization of Form-Wound Windings in Frequency and Time Domain Finite-Element Modeling of Electrical Machines [J].

Gyselinck, Johan ;

Dular, Patrick ;

Sadowski, Nelson ;

Kuo-Peng, Patrick ;

Sabariego, Ruth V. .

IEEE TRANSACTIONS ON MAGNETICS, 2010, 46 (08) :2852-2855

[3] Homogenization Method Based on Cauer Circuit via Unit Cell Approach [J].

Hiruma, Shingo ;

Igarashi, Hajime .

IEEE TRANSACTIONS ON MAGNETICS, 2020, 56 (02)

[4] MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores [J].

Hollaus, K. ;

Schoeberl, J. ;

Schoebinger, M. .

IEEE TRANSACTIONS ON MAGNETICS, 2020, 56 (02)

[5]

Jackson, 1999, CLASSICAL ELECTRODYN, P352

[6] THIN-LAYERS IN ELECTRICAL-ENGINEERING - EXAMPLE OF SHELL MODELS IN ANALYZING EDDY-CURRENTS BY BOUNDARY AND FINITE-ELEMENT METHODS [J].

KRAHENBUHL, L ;

MULLER, D .

IEEE TRANSACTIONS ON MAGNETICS, 1993, 29 (02) :1450-1455

[7]

Lefèvre F, 2011, INT J NUMER ANAL MOD, V8, P641

[8]

Solin P., 2003, Higher Order Finite Element Methods

[9] The generalized finite element method for Helmholtz equation: Theory, computation, and open problems [J].

Strouboulis, Theofanis ;

Babuska, Ivo ;

Hidajat, Realino .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (37-40) :4711-4731