Consideration of Rotational Motion in the Proper Generalized Decomposition by a Sliding Interface Technique

The simulation of rotating electrical machines, particularly in the development process, involves many parameters, such as the current excitation, permanent magnet materials, and the relative rotor position. To reduce the computational effort related to a large number of degrees of freedom (DOFs), the proper generalized decomposition (PGD) can be employed. Although the mentioned reduction technique is able to efficiently cope with parameter variations, it is limited to conformal meshes. However, the consideration of moving parts in the model for the simulation of rotating electrical machines is a necessity to characterize the machine’s behavior. For this purpose, the sliding interface technique, based on Lagrange multipliers (LMs) can be utilized. In this contribution, the sliding interface technique, which imposes no restrictions on the finite element discretization of the interface between stator and rotor, is combined with the PGD to lift the restriction of the latter to conformal meshes while keeping the symmetry and positive definiteness of the system without the creation of additional elements. This approach enables the parametric simulation of rotating electrical machines by the PGD.