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.
Original language | English |
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Article number | 6 |
Number of pages | 12 |
Journal | Journal of Mathematics in Industry |
Volume | 12 |
Issue number | 1 |
Early online date | 31 Jan 2022 |
DOIs | |
Publication status | Published - Dec 2022 |
Keywords
- 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)