APPLICATION OF H-FORMULATIONS FOR COUPLING OF LOCAL FIELDS AND EXTERNAL CIRCUITS VIA A SUBPROBLEM APPROACH

Abstract

      A magnetic field conforming formulation (h-formulation) with magnetostatic and magnetodynamic problems is developed via a subproblem methodfor coupling of local fields and external circuits(currents and voltages). This method allows performing a natural coupling between local and global fields/quantities (currents and voltages) in finite element domains presented in a magnetic field weakformulation with vector h of magnetic field intensity. The strategy of the method is to split a complete problem/model composed of local and global fields (some of these being thin regions) into a series of subproblems with different regions materials’ characteristics. The obtained solution of a complete problem is a superpostion of subproblem solutions. Each subproblem is independently solved on its own domain and mesh without relating to others, which easily facilitates meshing and may decrease computational time of computers.