On torque computation in electric machine simulation by harmonic mortar methods

TL;DR

This paper introduces harmonic mortar methods using trigonometric polynomials for efficient torque computation in electric machine simulations, demonstrating their effectiveness in analyzing torque ripples.

Contribution

It develops explicit torque formulas within harmonic mortar finite element methods, enhancing simulation accuracy for stator-rotor coupling in electric machines.

Findings

Efficient torque computation formulas derived from energetic principles.

Harmonic mortar methods effectively evaluate torque ripples.

Numerical tests confirm theoretical advantages of the proposed approach.

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 isogemetric 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.