Journal ArticleDOI
Three dimensional eddy currents using a four component finite element formulation
S.J. Salon,J. Peng +1 more
TLDR
In this paper, a four component formulation is used to solve general three dimensional eddy currents, where the unknowns are the three components of magnetic vector potential A, and the scalar electric potential φ.Abstract:
A method to solve general three dimensional eddy currents is presented. A four component formulation is used. The unknowns are the three components of magnetic vector potential A, and the scalar electric potential φ. A discussion of the role of the scalar potential in insuring the continuity of the eddy currents is included. The method is formulated using eight noded brick finite elements. Several examples are given which illustrate the validity of the formulation.read more
Citations
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Journal ArticleDOI
Eddy currents: theory and applications
TL;DR: In this article, the theory and applications of eddy currents induced in conducting materials by time-varying magnetic fields are reviewed and the mathematical methods employed in solving the relevant problems are presented.
Journal ArticleDOI
A general finite element vector potential formulation of electromagnetics using a time-integrated electric scalar potential
TL;DR: In this article, the equations of electromagnetics are formulated for finite-element analysis using a novel time-integrated electric scalar potential in addition to the conventional magnetic vector potential.
Journal ArticleDOI
Estimation of stray losses of skewed rotor induction motors using coupled 2-D and 3-D time stepping finite element methods
SL Ho,Weinong Fu,H.C. Wong +2 more
TL;DR: In this paper, a 2D multi-slice time-stacking finite element model is coupled with a 3D time-stepping finite element method to estimate the stray losses in skewed rotor induction motors.
Journal ArticleDOI
Eddy currents and modelling
TL;DR: A bibliographic survey of numerical methods for eddy current field computation and device modelling is presented in this article, where the authors discuss the application of constraints to the skin effect problem.
Journal ArticleDOI
Fundamental equations for eddy current analysis by using the A- phi method and 3-D analysis of a conducting liquid
TL;DR: In this article, the fundamental equation for the A-phi method is formulated using Maxwell's equations and the continuity equation for electric charge, and the validity of the proposed formulation is verified by experiment.
References
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Journal ArticleDOI
Comparison of alternative formulations of 3-dimensional magnetic-field and eddy-current problems at power frequencies
TL;DR: In this paper, a range of choice of magnetic and electric vector potentials is examined, including the ℰ and H vectors as particular examples, and it is shown that the problem formulation is greatly affected by the choice of gauge, or vectorpotential divergence.
Journal ArticleDOI
Methods for eddy current computation in three dimensions
TL;DR: In this paper, several approaches that could be used for eddy current computation in three dimensions are compared, using vector potentials or stream functions, and results from computer programs that use these methods are given for steady state alternating current problems.
Journal ArticleDOI
Three-dimensional vector potential analysis for machine field problems
TL;DR: Three-dimensional vector potential solution methods for linear and nonlinear diffusion and magnetostatic field problems are presented and illustrated by numerical examples where feasible.
Journal ArticleDOI
Finite element formulation and analysis of three dimensional magnetic field problems
TL;DR: In this article, a three dimensional finite element formulation and algorithm for the solution of 3D magnetic fields was developed with applications to determination of local flux densities in a 3D field pattern, as well as global energy calculations of an air cored coil.
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