2-D Semi-Analytical Modeling of Eddy Currents in Multiple Non-Connected Conducting Elements

Abstract

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Memory Efficient Method for Electromagnetic Multi-Region Models Using Scattering Matrices

“…The particular solutions described by p u and p v relate source terms, such as coil currents and magnetization, which are known in advance, to the solutions u and v. All these variables are determined by the properties of a region that is under consideration. The way to obtain these variables for a variety of problems has been described in e.g., [8][9][10]. The unknown coefficients c + i and c − i in (1) and (2) are determined by applying continuity boundary conditions between regions.…”

“…One of the semi-analytical models is the harmonic modeling technique [4][5][6][7], which uses a Fourier basis to describe the solutions to the electromagnetic field quantities. By including position dependent material properties, such as the electrical conductivity [8] and the permeability [9][10][11], into the solutions, the spatial distribution of electromagnetic fields can also be accurately modeled for complex devices.…”

3D harmonic modeling of eddy currents in segmented conducting structures

“…Several research studies have successfully implemented a spatially varying magnetic permeability in the solutions of the magnetic field in either 2D or 3D (Custers et al , 2016) models. For a 2D harmonic problem, a spatially varying electric conductivity was included to model eddy currents in segmented conductors, as described in Custers et al ’s (2017a) study. To extend this model and to obtain eddy current distributions in segmented parts of a 3D model in the Cartesian coordinate system, a formulation is applied where the Maxwell equations are directly solved using a coupled magnetic and electric field formulation.…”

“…To extend this model and to obtain eddy current distributions in segmented parts of a 3D model in the Cartesian coordinate system, a formulation is applied where the Maxwell equations are directly solved using a coupled magnetic and electric field formulation. Formulations using a vector potential as used in Custers et al ’s (2017a) study or a second-order vector potential (Theodoulidis et al , 1995; Jumayev et al , 2016; Hannon et al , 2017) or a combination of the vector potential with a scalar potential (Biro and Preis, 1989) have been investigated by the authors. With the harmonic model, which has Fourier-based solutions, these formulations were not implementable or gave inaccurate results.…”

Validation of a Harmonic Model for Eddy Currents in Slitted Conducting Plates

“…Custers. E-mail: c.h.h.m.custers @tue.nl * Electromechanics and Power Electronics, Eindhoven University of Technology 5600 MB Eindhoven, The Netherlands of calculating eddy currents in 3D complex segmented conducting structures as was described in (12) for 2D problems.…”