Constrained Algorithm for the Selection of Uneven Snapshots in Model Order Reduction of a Bearingless Motor

Electromagnetic force and torque computations for a bearingless synchronous reluctance motor present multi-input complexity due to the levitating auxiliary winding located in the machine active parts. The machine model complexity is reduced through the proper orthogonal decomposition method. For this purpose, a snapshot matrix is needed to be constructed. This paper proposes a methodology of choosing efficient snapshots for the model order reduction. The reduced model is then applied to compute the torque and electromagnetic forces on the rotor of the machine. The method presented for selecting the snapshots is shown to be more efficient than uniformly distributed snapshots and it reduces the number of finite element method evaluations needed for the construction of the reduced model.