scholarly journals Equivalence between two finite element methods for the eddy current problem

2010 ◽  
Vol 348 (13-14) ◽  
pp. 769-774 ◽  
Author(s):  
Alfredo Bermúdez ◽  
Bibiana López-Rodríguez ◽  
Rodolfo Rodríguez ◽  
Pilar Salgado
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Eddy Current ◽  
Current Problem ◽  
Eddy Current Problem

scholarly journals A mixed multiscale FEM for the eddy current problem with T,Φ-Φ and vector hysteresis

2022 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Valentin Hanser ◽  
Markus Schöbinger ◽  
Karl Hollaus
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Eddy Current ◽  
Current Problem ◽  
Great Success ◽  
Content Type ◽  
Multiscale Finite Element Method ◽  
Multiscale Finite Element ◽  
Eddy Current Problem ◽  
Element Method

Purpose This work introduces an efficient and accurate technique to solve the eddy current problem in laminated iron cores considering vector hysteresis. Design/methodology/approach The mixed multiscale finite element method based on the based on the T,Φ-Φ formulation, with the current vector potential T and the magnetic scalar potential Φ allows the laminated core to be modelled as a single homogeneous block. This means that the individual sheets do not have to be resolved, which saves a lot of computing time and reduces the demands on the computer system enormously. Findings As a representative numerical example, a single-phase transformer with 4, 20 and 184 sheets is simulated with great success. The eddy current losses of the simulation using the standard finite element method and the simulation using the mixed multiscale finite element method agree very well and the required simulation time is tremendously reduced. Originality/value The vector Preisach model is used to account for vector hysteresis and is integrated into the mixed multiscale finite element method for the first time.

A Robust Preconditioned MinRes Solver for Time-periodic Eddy Current Problems

2013 ◽  
Vol 13 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Michael Kolmbauer ◽  
Ulrich Langer
Keyword(s):  
Finite Element ◽  
Frequency Domain ◽  
Eddy Current ◽  
Current Problem ◽  
Iterative Solvers ◽  
Regularization Parameters ◽  
Eddy Current Problem ◽  
Time Periodic

Abstract.This work is devoted to fast and parameter-robust iterative solvers for frequency domain finite element equations, approximating the time-periodic eddy current problem with multiharmonic or time-periodic excitations in time. We construct a preconditioned MinRes solver for the frequency domain equations, that is robust with respect to the discretization parameters as well as all involved “bad” parameters like the conductivity, the reluctivity and possible regularization parameters.

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