Polarization method for static fields

Hantila, Florea I.; Preda, Gabriel; Vasiliu, M.

doi:10.1109/20.877538

Cited by 94 publications

(57 citation statements)

References 3 publications

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“…The above equations are nonexpansive, and the fixed point iteration scheme through the polarization formulation results in a contraction mapping, meaning convergent iterative process [25,26].…”

Section: Laminations With Ferromagnetic Hysteresismentioning

confidence: 99%

“…7. Here, the so-called vector Preisach model of hysteresis [17,24,27] has been implemented in the FEM code combining it with the fixed-point scheme [25,26].…”

Section: Three Phase Transformer Corementioning

confidence: 99%

“…Here, is the optimal value of permeability selected as [25,26] , where and are the maximum and the minimum slope of the inverse static hysteresis characteristics [27], i.e. the maximum and the minimum reluctivity.…”

Section: Laminations With Ferromagnetic Hysteresismentioning

confidence: 99%

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Finite Element Simulation by Free Software Tools

Kuczmann

Budai²

2014

Acta Tech Jaur

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This paper presents a finite element based environment for the simulation of two dimensional electromagnetic field problems, especially electric motors. The graphical user interface, the finite element mesh generator and the computational functions are free software tools that have been developed by scientific teams from all over the world. The aim of this work is to realize a new software environment that can be used in the simulation of two dimensional problems as well as in education.

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Section: Laminations With Ferromagnetic Hysteresismentioning

confidence: 99%

“…7. Here, the so-called vector Preisach model of hysteresis [17,24,27] has been implemented in the FEM code combining it with the fixed-point scheme [25,26].…”

Section: Three Phase Transformer Corementioning

confidence: 99%

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Finite Element Simulation by Free Software Tools

Kuczmann

Budai²

2014

Acta Tech Jaur

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“…(52)-(54). To this end, the polarization method [44] is first adopted to separate the magnetic field into the linear and the nonlinear parts…”

Section: Polarization Technique Based Newton-raphson Scheme For Tdfemmentioning

confidence: 99%

THEORETICAL FORMULATION OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

Yan¹,

Jin²

2015

PIER

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Abstract-In this work, a numerical solution of nonlinear ferromagnetic problems is formulated using the three-dimensional time-domain finite element method (TDFEM) combined with the inverse JilesAtherton (J-A) vector hysteresis model. After a brief introduction of the J-A constitutive model, the second-order nonlinear partial differential equation (PDE) is constructed through the magnetic vector potential in the time domain, which is then discretized by employing the Newmark-β scheme, and solved by applying the Newton-Raphson method. Different Newton-Raphson schemes are constructed and compared. The capability of the proposed methods is demonstrated by several numerical examples including the simulation of the physical demagnetization process, the prediction of the magnetic remanence in the ferromagnetic material, and the generation of higher-order harmonics.

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“…Since, for many applications, the steady state only is of interest, methods have to be developed to avoid calulating transient processes. In [2] a method is presented which uses the fixed point method (see [1]) to linearize the equation system of eddy current problems. This leads to an equation systems where the equations are decoupled for each time instant within a period.…”

Section: Introductionmentioning

confidence: 99%