Matrix Interpolation-Based Reduced-Order Modeling of a Levitation Device With Eddy Current Effects

In this paper, reduced order modeling (ROM) based on the proper orthogonal decomposition (POD) are applied to an eddy-current problem with movement. A classical magnetodynamic finite-element formulation based on the magnetic vector potential is used as reference and starting point to build up the reduced models. Two approaches are proposed to construct the ROMs: 1) the so-called classical POD-ROM and 2) the parametric POD-ROM by the matrix interpolation method. The latter is found to be highly computationally efficient (time and memory) when dealing with repetitive computations, such as design, control, and optimization procedures. The Team Workshop Problem 28 is chosen as a test case for validation. The results are compared in terms of accuracy and computational cost.