Linear Subspace Reduction for Quasistatic Field Simulations

摘要

Simulating eddy-current problems in time domain using the magnetic vector potential formulation leads to a non-linear system of differential-algebraic equations. Typically a large number of degrees of freedom (DoF) are in domains with constant material, for example air or vacuum in exterior domains. In this work a new method is presented that reduces only the DoFs in these exterior domains by using the proper orthogonal decomposition (POD) method. The POD method involves a singular value decomposition (SVD) to capture the system dynamics and extract the essential dynamical behavior with a low number of DoFs. A simple transformer example is given to proof the concept.