A Stepped Nonlinear Solver for Nonlinear Magnetic Materials with Hysteresis

John C. Young; Stephen D. Gedney; Rob Adams; Carl Schneider; Chris Burgy

doi:10.1109/TMAG.2014.2376993

A Stepped Nonlinear Solver for Nonlinear Magnetic Materials with Hysteresis

John C. Young, Stephen D. Gedney, Rob Adams, Carl Schneider, Chris Burgy

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A stepped nonlinear solution method based on differential susceptibility is presented for the quasi-magnetostatic analysis of nonlinear magnetic materials. The stepped solver is applicable to hysteretic materials and supports a permanent magnetization. A locally corrected Nyström discretization of the magnetostatic volume integral equation is used to implement the stepped solver. Characterization of the stepped solver is performed using various magnetic material models which support hysteresis. Solver accuracy is validated using Team Workshop Problem 13, analytic results of a magnetic sphere with hysteresis, and against measured data for a hollow steel pipe.

Original language	English
Article number	6975194
Journal	IEEE Transactions on Magnetics
Volume	51
Issue number	6
DOIs	https://doi.org/10.1109/TMAG.2014.2376993
State	Published - Jun 1 2015

Bibliographical note

Publisher Copyright:
© 1965-2012 IEEE.

Keywords

Locally Corrected Nystrom method
Magnetostatics
hysteresis
integral equation methods
non-linear solver

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2014.2376993

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abstract = "A stepped nonlinear solution method based on differential susceptibility is presented for the quasi-magnetostatic analysis of nonlinear magnetic materials. The stepped solver is applicable to hysteretic materials and supports a permanent magnetization. A locally corrected Nystr{\"o}m discretization of the magnetostatic volume integral equation is used to implement the stepped solver. Characterization of the stepped solver is performed using various magnetic material models which support hysteresis. Solver accuracy is validated using Team Workshop Problem 13, analytic results of a magnetic sphere with hysteresis, and against measured data for a hollow steel pipe.",

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AU - Gedney, Stephen D.

AU - Adams, Rob

AU - Schneider, Carl

AU - Burgy, Chris

PY - 2015/6/1

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N2 - A stepped nonlinear solution method based on differential susceptibility is presented for the quasi-magnetostatic analysis of nonlinear magnetic materials. The stepped solver is applicable to hysteretic materials and supports a permanent magnetization. A locally corrected Nyström discretization of the magnetostatic volume integral equation is used to implement the stepped solver. Characterization of the stepped solver is performed using various magnetic material models which support hysteresis. Solver accuracy is validated using Team Workshop Problem 13, analytic results of a magnetic sphere with hysteresis, and against measured data for a hollow steel pipe.

AB - A stepped nonlinear solution method based on differential susceptibility is presented for the quasi-magnetostatic analysis of nonlinear magnetic materials. The stepped solver is applicable to hysteretic materials and supports a permanent magnetization. A locally corrected Nyström discretization of the magnetostatic volume integral equation is used to implement the stepped solver. Characterization of the stepped solver is performed using various magnetic material models which support hysteresis. Solver accuracy is validated using Team Workshop Problem 13, analytic results of a magnetic sphere with hysteresis, and against measured data for a hollow steel pipe.

KW - Locally Corrected Nystrom method

KW - Magnetostatics

KW - hysteresis

KW - integral equation methods

KW - non-linear solver

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

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A Stepped Nonlinear Solver for Nonlinear Magnetic Materials with Hysteresis

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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