A Stable Iteration Procedure of Newton's Method in Finite-Element Computation of Nonlinear Magnetic Field Problems with a Vector Hysteresis Model

Wei Li; Weinong Fu; Chang Seop Koh; Yangyang Wang

doi:10.1109/TMAG.2016.2623585

A Stable Iteration Procedure of Newton's Method in Finite-Element Computation of Nonlinear Magnetic Field Problems with a Vector Hysteresis Model

Wei Li, Weinong Fu, Chang Seop Koh, Yangyang Wang

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

ï¿½ 1965-2012 IEEE. A stable iteration algorithm for solving nonlinear magnetic field problems using the finite-element method (FEM), incorporating a vector Jiles-Atherton hysteresis model and Newton's method, is introduced. The Jacobian matrix is calculated according to the information of the differential reluctivity of the hysteresis loops. In order to balance the FEM computation stability and efficiency, two time criteria are adopted. The proposed FEM procedure is applied to analyze a three-phase transformer made of electrical steel sheets. The numerical computation is stable and fast. The numerically computation results are compared with the experimentally measured ones. The computation efficiency and accuracy proves the effectiveness of the proposed algorithm.

Original language	English
Article number	7728100
Journal	IEEE Transactions on Magnetics
Volume	53
Issue number	2
DOIs	https://doi.org/10.1109/TMAG.2016.2623585
Publication status	Published - 1 Feb 2017

Keywords

Finite-element method (FEM)
Newton's method (NM)
nonlinear hysteresis
time stepping
vector Jiles-Atherton model

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2016.2623585

Cite this

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title = "A Stable Iteration Procedure of Newton's Method in Finite-Element Computation of Nonlinear Magnetic Field Problems with a Vector Hysteresis Model",

abstract = "{\"i}¿½ 1965-2012 IEEE. A stable iteration algorithm for solving nonlinear magnetic field problems using the finite-element method (FEM), incorporating a vector Jiles-Atherton hysteresis model and Newton's method, is introduced. The Jacobian matrix is calculated according to the information of the differential reluctivity of the hysteresis loops. In order to balance the FEM computation stability and efficiency, two time criteria are adopted. The proposed FEM procedure is applied to analyze a three-phase transformer made of electrical steel sheets. The numerical computation is stable and fast. The numerically computation results are compared with the experimentally measured ones. The computation efficiency and accuracy proves the effectiveness of the proposed algorithm.",

keywords = "Finite-element method (FEM), Newton's method (NM), nonlinear hysteresis, time stepping, vector Jiles-Atherton model",

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AU - Koh, Chang Seop

AU - Wang, Yangyang

PY - 2017/2/1

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N2 - ï¿½ 1965-2012 IEEE. A stable iteration algorithm for solving nonlinear magnetic field problems using the finite-element method (FEM), incorporating a vector Jiles-Atherton hysteresis model and Newton's method, is introduced. The Jacobian matrix is calculated according to the information of the differential reluctivity of the hysteresis loops. In order to balance the FEM computation stability and efficiency, two time criteria are adopted. The proposed FEM procedure is applied to analyze a three-phase transformer made of electrical steel sheets. The numerical computation is stable and fast. The numerically computation results are compared with the experimentally measured ones. The computation efficiency and accuracy proves the effectiveness of the proposed algorithm.

AB - ï¿½ 1965-2012 IEEE. A stable iteration algorithm for solving nonlinear magnetic field problems using the finite-element method (FEM), incorporating a vector Jiles-Atherton hysteresis model and Newton's method, is introduced. The Jacobian matrix is calculated according to the information of the differential reluctivity of the hysteresis loops. In order to balance the FEM computation stability and efficiency, two time criteria are adopted. The proposed FEM procedure is applied to analyze a three-phase transformer made of electrical steel sheets. The numerical computation is stable and fast. The numerically computation results are compared with the experimentally measured ones. The computation efficiency and accuracy proves the effectiveness of the proposed algorithm.

KW - Finite-element method (FEM)

KW - Newton's method (NM)

KW - nonlinear hysteresis

KW - time stepping

KW - vector Jiles-Atherton model

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M3 - Journal article

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

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A Stable Iteration Procedure of Newton's Method in Finite-Element Computation of Nonlinear Magnetic Field Problems with a Vector Hysteresis Model

Abstract

Keywords

ASJC Scopus subject areas

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