Surrogate Model Based on the POD Combined With the RBF Interpolation of Nonlinear Magnetostatic FE Model

The proper orthogonal decomposition (POD) is an interesting approach to compress into a reduced basis numerous solutions obtained from a parametrized finite-element (FE) model. In order to obtain a fast approximation of an FE solution, the POD can be combined with an interpolation method based on radial basis functions (RBFs) to interpolate the coordinates of the solution into the reduced basis. In this article, this POD-RBF approach is applied to a nonlinear magnetostatic problem and is used with a single-phase transformer and a three-phase inductance.