We applied the proper orthogonal decomposition (POD) method to extract reduced-order models to efficiently solve nonlinear electromagnetic problems governed by Maxwell's equations with nonlinear hysteresis at low frequency (10 kHz), called static hysteresis, discretized by a finite-element method. We used a new domain-wall-motion hysteresis model for Power MAgnetic Components (POMACs) in the finite-element potential formulation via an efficient implicit-inverse model calculation. We propose a rational method for the selection of snapshots employed in the POD, used in conjunction with a fixed-point method for the solution of nonlinear POMAC problems. The reduced simulation time and great flexibility of the reduced-order models, as applied to nonlinear POMAC systems, suggest that the procedure can be applied to other electromagnetic problems with nonlinear hysteresis
