Torque Computation with the Isogeometric Mortar Method for the Simulation of Electric Machines

TL;DR

This paper introduces an isogeometric mortaring approach for simulating electric machines, enabling exact geometry representation and efficient torque computation without remeshing, improving accuracy and computational efficiency.

Contribution

The work develops an isogeometric mortaring framework for electric machine simulation, including the construction of B-spline spaces and torque calculation methods, advancing the state of the art.

Findings

Exact geometry representation for rotating machines

Efficient torque computation methods demonstrated

Simplified construction of mortaring spaces in isogeometric analysis

Abstract

In this work isogeometric mortaring is used for the simulation of a six pole permanent magnet synchronous machine. Isogeometric mortaring is especially well suited for the efficient computation of rotating electric machines as it allows for an exact geometry representation for arbitrary rotation angles without the need of remeshing. The appropriate B-spline spaces needed for the solution of Maxwell's equations and the corresponding mortar spaces are introduced. Unlike in classical finite element methods their construction is straightforward in the isogeometric case. The torque in the machine is computed using two different methods, i.e., Arkkio's method and by using the Lagrange multipliers from the mortaring.