Premium
Finite‐element discretisation of the eddy‐current term in a 2D solver for radially symmetric models
Author(s) -
Vanoost Dries,
De Gersem Herbert,
Peuteman Joan,
Gielen Georges,
Pissoort Davy
Publication year - 2013
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1955
Subject(s) - eddy current , discretization , solver , finite element method , convergence (economics) , electromagnetic coil , symmetry (geometry) , partition of unity , magnetic field , physics , mathematical analysis , magnetic flux , flux (metallurgy) , mechanics , mathematics , geometry , mathematical optimization , quantum mechanics , economics , thermodynamics , economic growth , materials science , metallurgy
SUMMARY This paper discusses the discretisation of the eddy‐current term of the magnetoquasistatic subset of the Maxwell equations in a 2D setting with radial symmetry. It is shown that dedicated finite element shape functions are needed to make sure that particular distributions of the magnetic flux density and the electric field strength can be resolved exactly. Moreover, the shape functions should obey a partition‐of‐unity property and should achieve a prescribed convergence order. The 2D solver with radial symmetry is applied to calculate the performance of a multi‐coil induction cooking system. Copyright © 2013 John Wiley & Sons, Ltd.