Adaptive isogeometric analysis applied to an electromagnetic actuator

Research output: Contribution to journalArticleAcademicpeer-review

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.
LanguageEnglish
Article number7401104
Number of pages4
JournalIEEE Transactions on Magnetics
Volume55
Issue number6
Early online date20 Mar 2019
DOIs
StatePublished - 18 May 2019

Fingerprint

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

Keywords

  • Adaptive methods
  • eddy current problem
  • hierarchical splines
  • isogeometric analysis
  • nonlinear characteristics

Cite this

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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.",
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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, No. 6, 7401104, 18.05.2019.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Gysen,Bart

AU - Roes,Maurice

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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.

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