On torque computation in electric machine simulation by harmonic mortar methods

Richard Franz Löscher; Herbert Egger; Mane Harutyunyan; Sebastian Schöps; Melina Merkel

doi:10.1186/s13362-022-00121-2

On torque computation in electric machine simulation by harmonic mortar methods

Richard Franz Löscher, Herbert Egger, Mane Harutyunyan, Sebastian Schöps, Melina Merkel^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Angewandte Mathematik (5040)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor coupling of electric machine simulation. Explicit formulas for the torque computation are derived by energetic considerations, and their realization by harmonic mortar finite element and isogeometric analysis discretizations is discussed. Numerical tests are presented to illustrate the theoretical results and demonstrate the potential of harmonic mortar methods for the evaluation of torque ripples.

Originalsprache	englisch
Aufsatznummer	6
Seitenumfang	12
Fachzeitschrift	Journal of Mathematics in Industry
Jahrgang	12
Ausgabenummer	1
Frühes Online-Datum	31 Jan. 2022
DOIs	https://doi.org/10.1186/s13362-022-00121-2
Publikationsstatus	Veröffentlicht - Dez. 2022

ASJC Scopus subject areas

Numerische Mathematik
Angewandte Mathematik

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

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keywords = "Electric machine, Energy conservation, Harmonic mortaring, Torque computation",

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AU - Egger, Herbert

AU - Harutyunyan, Mane

AU - Schöps, Sebastian

AU - Merkel, Melina

PY - 2022/12

Y1 - 2022/12

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AB - The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor coupling of electric machine simulation. Explicit formulas for the torque computation are derived by energetic considerations, and their realization by harmonic mortar finite element and isogeometric analysis discretizations is discussed. Numerical tests are presented to illustrate the theoretical results and demonstrate the potential of harmonic mortar methods for the evaluation of torque ripples.

KW - Electric machine

KW - Energy conservation

KW - Harmonic mortaring

KW - Torque computation

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VL - 12

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On torque computation in electric machine simulation by harmonic mortar methods

Abstract

ASJC Scopus subject areas

Fields of Expertise

Treatment code (Nähere Zuordnung)

UN SDGs

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