A Coupling Between the Facet Finite Element and Reluctance Network Methods in 3-D

Abstract

International audienceA 3-D finite-element method mesh is converted to a reluctance network through an original magnetostatic formulation based on facet shape functions interpolation of the magnetic induction. This network is coupled with a standard reluctance network, characterizing a 0-D system and solved by a circuit solver approach

Subproblems Applied to a 3-D Magnetostatic Facet FEM Formulation

“…As previously cited, this work's goal is to apply the SPM in a FFEM magnetostatic formulation, it is briefly summarized here. The details of this formulation can be found in [3].…”

“…This condition was discussed in our previous paper [3], but this connection is also used to impose one external flux density in the model, i.e., n…”

“…Then, one 3-D magnetic device is completely solved using this proposed methodology. Finally, this device is simplified using the FFEM+RNM coupling, as proposed in [3], and solved considering the subproblem technique.…”

“…The Facet Finite Element Method (FFEM) has been presented as an alternative to reduce the computational time and resources when modeling magnetostatic fields in electromagnetic devices [1]- [3], because it allows an easy coupling with external magnetic networks, i.e., the Reluctance Network Method (RNM), and does not require any additional attention to deal with multiply-connected domains as in the classical magnetic scalar potential formulation.…”

“…The second test case is a representative 3-D magnetic device that is modeled using the proposed methodology. Finally, FFEM + RNM coupling [3] and the SPM are applied in this model at the same time, benefiting from the advantages of both methodologies.…”