Transient eddy current formulation including moving conductors using the FI method

Abstract

Recently introduced time domain formulations based on the Finite Integration Method (FI) allow to calculate slowly-varying electromagnetic fields with various implicit time-stepping techniques. In this paper such a Finite-Difference-Implicit-Time-Domain (FDiTD) formulation is extended to consider unidirectional motion of conductors within the computational domain. A moving-coordinate scheme suited for high Peclet numbers and a fixed-coordinate formulation are presented on the basis of the Maxwell-Grid-Equations. The resulting large algebraic systems of equations are solved by iterative methods for each time step. Numerical results of both methods are compared to results of a test problem configuration.

Efficient calculation of current densities in the human body induced by arbitrarily shaped, low-frequency magnetic field sources

“…The material matrices M l , M e and M j represent the discrete matrices of permeability l, permittivity e and conductivity j, respectively. The material matrices can be constructed using various averaging techniques, that are beyond the scope of this article and can be found in [29][30][31][32]. In the case of computations presented here based on a voxel model, a straightforward averaging technique of the conductivity and permittivity over a dual facet e A n is applied.…”

State of the art of numerical modeling for induction processes

“…Esposito et al (1996) achieved similar results by considering an IE formulation, as did Kim et al (1999) where the conductor velocity was incorporated in the BIE Greens function. Clemens et al (2000) used a finite difference implicit time domain approach while comparing both the moving coordinate and the fixed coordinate formulations.…”

2-D Stabilized FIT Formulation for Eddy-Current Problems in Moving Conductors

“…O NLY few indications are reported in literature for discretizing eddy-current problems in moving conductors by the finite integration technique (FIT) [1]. In particular, no results are reported for discretizing eddycurrent problems in moving conductors over unstructured grids and for dealing with the instability problems occurring at large Peclet numbers.…”