scholarly journals Solving the inverse magnetostatic problem using fictitious magnetic charges

AIP Advances ◽  
2018 ◽  
Vol 8 (5) ◽  
pp. 056005
Author(s):  
Gregor Wautischer ◽  
Florian Bruckner ◽  
Claas Abert ◽  
Dieter Suess ◽  
Helmut Koeck ◽  
...  
Keyword(s):  
Magnetostatic Problem

A magnetostatic problem for a half-space with a spherical flaw in the field of a coil

2008 ◽  
Vol 44 (2) ◽  
pp. 102-112 ◽  
Author(s):  
V. V. Dyakin ◽  
V. Ya. Raevskii ◽  
O. V. Umergalina
Keyword(s):  
Half Space ◽  
Magnetostatic Problem

Estimation of magnetic field growth and constraction of adaptive mesh in corner domain for magnetostatic problem

2016 ◽  
Vol 13 (6) ◽  
pp. 755-759
Author(s):  
E. E. Perepelkin ◽  
R. V. Polyakova ◽  
A. D. Kovalenko ◽  
L. A. Nyanina ◽  
P. N. Sysoev ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Adaptive Mesh ◽  
Field Growth ◽  
Magnetostatic Problem

A novel direct resolution method for coupled systems in finite element analysis

2020 ◽  
Vol 39 (5) ◽  
pp. 1271-1280
Author(s):  
Youcef Boutora ◽  
Noureddine Takorabet
Keyword(s):  
Finite Elements ◽  
Linear Systems ◽  
Symmetric Matrix ◽  
Direct Method ◽  
Three Dimensional ◽  
Coupled Systems ◽  
Resolution Method ◽  
Element Analysis ◽  
Content Type ◽  
Magnetostatic Problem

Purpose This paper aims to propose a novel direct method for indefinite algebraic linear systems. It is well adapted for sparse linear systems, such as those of two-dimensional (2-D) finite elements problems, especially for coupled systems. Design/methodology/approach The proposed method is developed on an example of an indefinite symmetric matrix. The algorithm of the method is given next, and a comparison between the numbers of operations required by the method and the Cholesky method is also given. Finally, an application on a magnetostatic problem for classical methods (Gauss and Cholesky) shows the relative efficiency of the proposed method. Findings The proposed method can be used advantageously for 2-D finite elements in stepping methods without using a block decomposition of matrices. Research limitations/implications This method is advantageous for direct linear solving for 2-D problems, but it is not recommended at this time for three-dimensional problems. Originality/value The proposed method is the first direct solver for algebraic linear systems proposed since more than a half century. It is not limited for symmetric positive systems such as many of direct and iterative methods.

Quasi 3D modelling and simulation of axial flux machines

2014 ◽  
Vol 33 (4) ◽  
pp. 1220-1232 ◽  
Author(s):  
Ossi Niemimäki ◽  
Stefan Kurz
Keyword(s):  
Eddy Currents ◽  
Simulation Models ◽  
Coupled System ◽  
3D Modelling ◽  
Modelling And Simulation ◽  
Future Research ◽  
Axial Flux ◽  
Content Type ◽  
2D Simulation ◽  
Magnetostatic Problem

Purpose – The purpose of this paper is to investigate the theoretical foundation of the so-called quasi 3D modelling method of axial flux machines, and the means for the simulation of the resulting models. Design/methodology/approach – Starting from the first principles, a 3D magnetostatic problem is geometrically decomposed into a coupled system of 2D problems. Genuine 2D problems are derived by decoupling the system. The construction of the 2D simulation models is discussed, and their applicability is evaluated by comparing a finite element implementation to an existing industry-used model. Findings – The quasi 3D method relies on the assumption of vanishing radial magnetic flux. The validity of this assumption is reflected in a residual gained from the 3D coupled system. Moreover, under a modification of the metric of the 2D models, an axial flux machine can be presented as a family of radial flux machines. Research limitations/implications – The evaluation and interpretation of the residual has not been carried out. Furthermore, the inclusion of eddy currents has not been detailed in the present study. Originality/value – A summary of existing modelling and simulation methods of axial flux machines is provided. As a novel result, proper mathematical context for the quasi 3D method is given and the underlying assumptions are laid out. The implementation of the 2D models is approached from a general angle, strengthening the foundation for future research.

Sign in / Sign up

Export Citation Format

Share Document