On torque computation in electric machine simulation by harmonic mortar methods

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number6
Number of pages12
JournalJournal of Mathematics in Industry
Issue number1
Early online date31 Jan 2022
Publication statusPublished - Dec 2022


  • Electric machine
  • Energy conservation
  • Harmonic mortaring
  • Torque computation

ASJC Scopus subject areas

  • Numerical Analysis
  • Applied Mathematics

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)


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