A hybrid formulation of eddy current problems

Singularities of eddy current problems

We consider the time-harmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit, this limit has to be understood in the sense of BOSSAVIT [11]. We describe the singularities of the solu...

An Adaptive Finite Element Method for the H-ψ Formulation of Time-dependent Eddy Current Problems

Abstract. In this paper, we develop an adaptive finite element method based on reliable and efficient a posteriori error estimates for the H − ψ formulation of eddy current problems with multiply connected conductors. Multiply connected domains are considered by making “cuts”. The competitive performance of the method is demonstrated by an engineering benchmark problem, Team Workshop Problem 7,...

Symmetric Coupling for Eddy Current Problems

Voltage and Current Excitation for Time-Harmonic Eddy-Current Problems

We want to give a systematic presentation of voltage or current intensity excitation for time-harmonic eddy-current problems. The key point of our approach resides in a suitable power law, that permits to understand the role of voltage excitation. We also enlighten the influence of the boundary conditions on the proposed formulations.

Time-Domain Geometric Eddy-Current Formulation for Hexahedral Grids

The aim of this paper is to present a 3-D time-domain eddy-current formulation based on the discrete geometric approach (DGA) over unstructured and nonorthogonal hexahedral dual grids. The resulting differential algebraic system of equation, solved by means of a singly-diagonally implicit Runge–Kutta (SDIRK) variable step-size solver, leads to very accurate results at reduced computational cost...