A PERTURBATION FINITE ELEMENT METHOD FOR EFFICIENTLY CALCULATING SKIN AND PROXIMITY EFFECTS IN ANY CONDUCTIVE MATERIAL

Abstract: A perturbation finite element method for solving eddy current problems in two separate steps is developed for considering conductive and magnetic materials subject to strong skin and proximity effects. The proposed method al-lows to efficiently and accurately determine the current den-sity distribution and ensuing Joule losses in conductors of any shape in the time domain or for repetitive solutions (e.g., parameterized or nonlinear analyses). A limit problem is first solved by considering the perfect conductive or mag-netic nature of the materials, via appropriate boundary con-ditions. Its solution gives the source for eddy current per-turbation sub-problems in each conductor, each one requir-ing its own mesh