Nonlinear Data-Driven Model Order Reduction Applied to Circuit-Field Magnetic Problem

As in most of the domains in physics, finite element (FE) formulation is a very common method for electromagnetic fields computation. For many years both proper orthogonal decomposition (POD) and empirical interpolation method are also often used in a model order reduction (MOR) context. If these methods are efficient, their application is intrusive because it requires access to the matrices and the assembly step. To avoid such an aspect, a data-driven MOR based on POD with an approximation of the nonlinear terms by radial basis functions interpolation is applied to a magnetostatic problem coupled with circuit equations. The nonlinear reduced order model only needs solutions of an FE analysis to be generated.