High-order methods applied to nonlinear magnetostatic problems

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This paper presents a comparison between two high-order modeling methods for solving magnetostatic problems under magnetic saturation, focused on the extraction of machine parameters. Two formulations are compared, the first is based on the Newton-Raphson approach, and the second successively iterates the local remanent magnetization and the incremental reluctivity of the nonlinear soft-magnetic material. The latter approach is more robust than the Newton-Raphson method, and uncovers useful properties for the fast and accurate calculation of incremental inductance. A novel estimate for the incremental inductance relying on a single additional computation is proposed to avoid multiple nonlinear simulations which are traditionally operated with finite difference linearization or spline interpolation techniques. Fast convergence and high accuracy of the presented methods are demonstrated for the force calculation, which demonstrates their applicability for the design and analysis of electromagnetic devices.
Originele taal-2Engels
Artikelnummer19
Aantal pagina's15
TijdschriftMathematical and Computational Applications
Volume24
Nummer van het tijdschrift1
DOI's
StatusGepubliceerd - 29 jan 2019

Vingerafdruk

Magnetostatics
High-order Methods
Inductance
Soft magnetic materials
Newton-Raphson method
Spline Interpolation
Newton-Raphson
Saturation magnetization
Modeling Method
Linearization
Iterate
Magnetization
Splines
Saturation
Finite Difference
Interpolation
High Accuracy
Formulation
Estimate
Demonstrate

Citeer dit

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title = "High-order methods applied to nonlinear magnetostatic problems",
abstract = "This paper presents a comparison between two high-order modeling methods for solving magnetostatic problems under magnetic saturation, focused on the extraction of machine parameters. Two formulations are compared, the first is based on the Newton-Raphson approach, and the second successively iterates the local remanent magnetization and the incremental reluctivity of the nonlinear soft-magnetic material. The latter approach is more robust than the Newton-Raphson method, and uncovers useful properties for the fast and accurate calculation of incremental inductance. A novel estimate for the incremental inductance relying on a single additional computation is proposed to avoid multiple nonlinear simulations which are traditionally operated with finite difference linearization or spline interpolation techniques. Fast convergence and high accuracy of the presented methods are demonstrated for the force calculation, which demonstrates their applicability for the design and analysis of electromagnetic devices.",
keywords = "Spectral Element Method, Isogeometric Analysis, Incremental Inductance, spectral element method, incremental inductance, isogeometric analysis",
author = "L.A.J. Friedrich and M. Curti and B.L.J. Gysen and E. Lomonova",
year = "2019",
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doi = "10.3390/mca24010019",
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journal = "Mathematical and Computational Applications",
issn = "1300-686X",
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High-order methods applied to nonlinear magnetostatic problems. / Friedrich, L.A.J. (Corresponding author); Curti, M.; Gysen, B.L.J.; Lomonova, E.

In: Mathematical and Computational Applications, Vol. 24, Nr. 1, 19, 29.01.2019.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

TY - JOUR

T1 - High-order methods applied to nonlinear magnetostatic problems

AU - Friedrich, L.A.J.

AU - Curti, M.

AU - Gysen, B.L.J.

AU - Lomonova, E.

PY - 2019/1/29

Y1 - 2019/1/29

N2 - This paper presents a comparison between two high-order modeling methods for solving magnetostatic problems under magnetic saturation, focused on the extraction of machine parameters. Two formulations are compared, the first is based on the Newton-Raphson approach, and the second successively iterates the local remanent magnetization and the incremental reluctivity of the nonlinear soft-magnetic material. The latter approach is more robust than the Newton-Raphson method, and uncovers useful properties for the fast and accurate calculation of incremental inductance. A novel estimate for the incremental inductance relying on a single additional computation is proposed to avoid multiple nonlinear simulations which are traditionally operated with finite difference linearization or spline interpolation techniques. Fast convergence and high accuracy of the presented methods are demonstrated for the force calculation, which demonstrates their applicability for the design and analysis of electromagnetic devices.

AB - This paper presents a comparison between two high-order modeling methods for solving magnetostatic problems under magnetic saturation, focused on the extraction of machine parameters. Two formulations are compared, the first is based on the Newton-Raphson approach, and the second successively iterates the local remanent magnetization and the incremental reluctivity of the nonlinear soft-magnetic material. The latter approach is more robust than the Newton-Raphson method, and uncovers useful properties for the fast and accurate calculation of incremental inductance. A novel estimate for the incremental inductance relying on a single additional computation is proposed to avoid multiple nonlinear simulations which are traditionally operated with finite difference linearization or spline interpolation techniques. Fast convergence and high accuracy of the presented methods are demonstrated for the force calculation, which demonstrates their applicability for the design and analysis of electromagnetic devices.

KW - Spectral Element Method

KW - Isogeometric Analysis

KW - Incremental Inductance

KW - spectral element method

KW - incremental inductance

KW - isogeometric analysis

U2 - 10.3390/mca24010019

DO - 10.3390/mca24010019

M3 - Article

VL - 24

JO - Mathematical and Computational Applications

JF - Mathematical and Computational Applications

SN - 1300-686X

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ER -