On the Application of Hybrid Mixed Domain Decomposition Methods to Permanent Magnet Synchronous Machines
This work provides a new numerical method for simulating permanent magnet synchronous machines, which could benefit engineers and researchers in electrical machine design.
This paper applies a hybrid mixed domain decomposition (HMDD) method to model the rotor-stator coupling in permanent magnet synchronous machines. It derives a variational formulation and demonstrates its well-posedness and error estimates, showing a proof-of-concept comparison with an existing iso-geometric analysis code.
In this work, we study the application of a hybrid mixed domain decomposition (HMDD) method for the rotor-stator coupling of a permanent magnet synchronous machine. For this, we derive a variational formulation on the electric machine inspired by hybridized discontinuous Galerkin methods using a mixed magnetostatics problem, an affine material law and boundary conditions respecting the symmetry of the motor. We are then able to locate the resulting finite element method within the HMDD framework presented in arXiv:2604.22543. This enables us naturally to transfer the well-posedness results and error estimates for the HMDD method to the finite element method considered in this work. Lastly, as a proof of concept, we consider an academic example and compare the resulting magnetic flux density and potential lines to their counterparts obtained by a well-established in-house code using iso-geometric analysis.