Finite‐element discretisation of the eddy‐current term in a 2D solver for radially symmetric models

Vanoost, Dries; Gersem, Herbert De; Peuteman, Joan; Gielen, Georges; Pissoort, Davy

doi:10.1002/jnm.1955

Cited by 5 publications

(3 citation statements)

References 26 publications

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“…Due to the relatively low frequency of variation, the wavelengths of potential electromagnetic waves are significantly larger than the dimensions of the EM. For these reasons, the quasi-static Maxwell's equations neglecting the displacement current are used to model the electric and magnetic fields [8,9].…”

Section: Maxwell's Equationsmentioning

confidence: 99%

Accelerated 3D FEA of an Axial Flux Machine by Exclusively Using the Magnetic Scalar Potential

Schäfer,

Pecha,

Kaiser

et al. 2023

Energies

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This article focuses on increasing the computational efficiency of 3D multi-static magnetic finite element analysis (FEA) for electrical machines (EMs), which have a magnetic field evolving in 3D space. Although 3D FEA is crucial for analyzing these machines and their operational behavior, it is computationally expensive. A novel approach is proposed in order to solve the magnetic field equations by exclusively using the magnetic scalar potential. For this purpose, virtual variable permanent magnets (vPMs) are introduced to model the impact of the machine’s coils. The effect on which this approach is based is derived from and explained by Maxwell’s equations. To validate the new approach, an axial flux machine (AFM) is simulated using both 2D and 3D FEA with the magnetic vector potential and current-carrying coils as a reference. The results demonstrate a high level of agreement between the new approach and the reference simulations as well as an acceleration of the computation by a factor of 15 or even more. Additionally, the research provides valuable insights into meshing techniques and torque calculation for EMs in FEA.

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Section: Maxwell's Equationsmentioning

confidence: 99%

Accelerated 3D FEA of an Axial Flux Machine by Exclusively Using the Magnetic Scalar Potential

Schäfer,

Pecha,

Kaiser

et al. 2023

Energies

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“…Notice the r 2 -term in Eq. (14b) which is needed for obtaining a consistent FE discretization [29]. The denominators make sure that the resulting edge functions fulfil the partition-of-unity property.…”

Section: D Case On a Triangular Meshmentioning

confidence: 99%

Magnetodynamic Finite-Element Simulation of Accelerator Magnets

De Gersem,

Garcia,

D'Angelo

et al. 2020

Preprint

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This lecture note describes how to set up and what is behind a magnetodynamic field simulation for an accelerator magnet. The relevant formulation of Maxwell's equations is derived. The formulation is discretized in space by the finite-element method and in time by a standard time integration method. The steps for setting up the accelerator-magnet model are described. An exemplary simulation of the GSI SIS-100 magnet is given as illustration. Finally, some extensions to the standard FE method, dedicated to accelerator magnets, are discussed.

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“…The implementation and performance of the algorithm on CPU and GPU hardware is studied for a micromagnetic problem. Vanoost et al analyze the finite‐element discretisation of the eddy‐current term in a 2D solver for radially symmetric models. To solve a multi‐physics problem in a weak manner, the subproblems may be solved separately on their respective meshes.…”

mentioning

confidence: 99%

Special Issue: The 9th International Symposium on Electric and Magnetic Fields (EMF 2013)

Dupré

Geuzaine

2014

Int J Numerical Modelling

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On behalf of the Editorial Board, we are pleased to present a selection of papers related to the 9th International Symposium on Electric and Magnetic Fields (EMF 2013) held in Bruges, Belgium, April 23-25, 2013.The EMF Symposium series, the first event of which was held in Liège in 1992, aims at building a bridge from recent research advances in mathematical and numerical modelling of electromagnetic fields to the growing number of industrial problems requiring such techniques. The 9th edition was organized by the attracted 108 participants from 19 countries, and featured four keynote speakers.From the 112 presentations in the Symposium program, 42 full papers were submitted for peer review. Twenty-two of these were selected for publication in this special issue. The high scientific and technical quality of the Symposium is well reflected in the quality of the manuscripts contained in this special issue.We wish to express our gratitude to all members of the editorial board-

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Finite‐element discretisation of the eddy‐current term in a 2D solver for radially symmetric models

Cited by 5 publications

References 26 publications

Accelerated 3D FEA of an Axial Flux Machine by Exclusively Using the Magnetic Scalar Potential

Accelerated 3D FEA of an Axial Flux Machine by Exclusively Using the Magnetic Scalar Potential

Magnetodynamic Finite-Element Simulation of Accelerator Magnets

Special Issue: The 9th International Symposium on Electric and Magnetic Fields (EMF 2013)

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