Electric circuit element boundary conditions in the finite element method for full-wave passive electromagnetic devices

被引：3

作者：

Ciuprina, Gabriela ^{[1
]}

Ioan, Daniel ^{[1
]}

Sabariego, Ruth V. ^{[2
]}

机构：

[1] Univ Politehn Bucuresti, Spl Independentei 313, Bucharest 060042, Romania

[2] Katholieke Univ Leuven, Kasteelpk Arenberg 10,Box 2445, B-3001 Leuven Heverlee, Belgium

来源：

JOURNAL OF MATHEMATICS IN INDUSTRY | 2022年 / 12卷 / 01期

关键词：

Full wave electromagnetics; Field-circuit coupling; Electric Circuit Element; ECE Boundary Conditions; Finite Element Method; FORMULATION; MAXWELL;

D O I：

10.1186/s13362-022-00122-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A natural coupling of a circuit with an electromagnetic device is possible if special boundary conditions, called Electric Circuit Element (ECE), are used for the electromagnetic field formulation. This contribution shows how these ECE boundary conditions can be implemented into the 3D-finite element method for solving coupled full-wave electromagnetic (EM) field-circuit problems in the frequency domain. The frequency response allows the extraction of a reduced order model of the analyzed device, accounting for all the EM field effects. The implementation is based on a weak formulation that uses the electric field strength E strictly inside the domain and a scalar potential V defined solely at the boundary. Edge elements for E are used inside the three-dimensional domain and nodal elements for V are used on its two-dimensional boundary. The weak formulation is described and implemented in the free environment Open Numerical Engineering LABoratory (onelab). The validation is carried out on 3D examples.

引用

页数：13

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