Adaptive isogeometric analysis applied to an electromagnetic actuator

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In this paper, a magnetostatic solver for linear and nonlinear soft-magnetic material characteristics, a time-harmonic eddy current solver, and the corresponding function-based error estimates are implemented in an established adaptive isogeometric analysis framework. The simplified truncated hierarchical B-spline basis functions are investigated on the multipatch geometry of a magnetic circuit, as they offer several beneficial properties, including a drastic reduction of the number of degrees of freedom compared to the references under uniform refinement. Global error estimate and global parameters convergence are illustrated for different refinement strategies and polynomial orders. Finally, the computational effort is analyzed.
Originele taal-2Engels
Artikelnummer7401104
Aantal pagina's4
TijdschriftIEEE Transactions on Magnetics
Volume55
Nummer van het tijdschrift6
Vroegere onlinedatum20 mrt 2019
DOI's
StatusGepubliceerd - 18 mei 2019

Vingerafdruk

Actuators
Soft magnetic materials
Magnetic circuits
Magnetostatics
Eddy currents
Splines
Polynomials
Geometry

Citeer dit

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title = "Adaptive isogeometric analysis applied to an electromagnetic actuator",
abstract = "In this paper, a magnetostatic solver for linear and nonlinear soft-magnetic material characteristics, a time-harmonic eddy current solver, and the corresponding function-based error estimates are implemented in an established adaptive isogeometric analysis framework. The simplified truncated hierarchical B-spline basis functions are investigated on the multipatch geometry of a magnetic circuit, as they offer several beneficial properties, including a drastic reduction of the number of degrees of freedom compared to the references under uniform refinement. Global error estimate and global parameters convergence are illustrated for different refinement strategies and polynomial orders. Finally, the computational effort is analyzed.",
keywords = "Adaptive methods, eddy current problem, hierarchical splines, isogeometric analysis, nonlinear characteristics",
author = "Leo Friedrich and Bart Gysen and Maurice Roes and Elena Lomonova",
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Adaptive isogeometric analysis applied to an electromagnetic actuator. / Friedrich, Leo (Corresponding author); Gysen, Bart; Roes, Maurice; Lomonova, Elena.

In: IEEE Transactions on Magnetics, Vol. 55, Nr. 6, 7401104, 18.05.2019.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

TY - JOUR

T1 - Adaptive isogeometric analysis applied to an electromagnetic actuator

AU - Friedrich, Leo

AU - Gysen, Bart

AU - Roes, Maurice

AU - Lomonova, Elena

PY - 2019/5/18

Y1 - 2019/5/18

N2 - In this paper, a magnetostatic solver for linear and nonlinear soft-magnetic material characteristics, a time-harmonic eddy current solver, and the corresponding function-based error estimates are implemented in an established adaptive isogeometric analysis framework. The simplified truncated hierarchical B-spline basis functions are investigated on the multipatch geometry of a magnetic circuit, as they offer several beneficial properties, including a drastic reduction of the number of degrees of freedom compared to the references under uniform refinement. Global error estimate and global parameters convergence are illustrated for different refinement strategies and polynomial orders. Finally, the computational effort is analyzed.

AB - In this paper, a magnetostatic solver for linear and nonlinear soft-magnetic material characteristics, a time-harmonic eddy current solver, and the corresponding function-based error estimates are implemented in an established adaptive isogeometric analysis framework. The simplified truncated hierarchical B-spline basis functions are investigated on the multipatch geometry of a magnetic circuit, as they offer several beneficial properties, including a drastic reduction of the number of degrees of freedom compared to the references under uniform refinement. Global error estimate and global parameters convergence are illustrated for different refinement strategies and polynomial orders. Finally, the computational effort is analyzed.

KW - Adaptive methods

KW - eddy current problem

KW - hierarchical splines

KW - isogeometric analysis

KW - nonlinear characteristics

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