On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents

Various magnetic vector potential formulations for the eddy-current problem are reviewed. The uniqueness of the vector potential is given special attention. The aim is to develop a numerically stable finite-element scheme that performs well at low and high frequencies, does not require an unduly high number of degrees of freedom, and is capable of treating multiple connected conductors. >

[1]  D. Kershaw.  The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations , 1978 .

[2]  J. Simkin,et al.  On the use of the total scalar potential on the numerical solution of fields problems in electromagnetics , 1979 .

[3]  J. D'Angelo,et al.  Three-dimensional vector potential analysis for machine field problems , 1982 .

[4]  J. Simkin,et al.  Methods for eddy current computation in three dimensions , 1982 .

[5]  T. Morisue.  Magnetic vector potential and electric scalar potential in three-dimensional eddy current problem , 1982 .

[6]  S. Hoole,et al.  Alternative vector potential formulations of 3-D magnetostatic field problems , 1982 .

[7]  D. Rodger,et al.  A formulation for low frequency eddy current solutions , 1983 .

[8]  J. Simkin,et al.  An optimal method for 3-D eddy currents , 1983 .

[9]  Jr. R. Pillsbury.  A three dimensional eddy current formulation using two potentials: The magnetic vector potential and total magnetic scalar potential , 1983 .

[10]  Finite-element method for calculating power frequency 3-dimensional electromagnetic field distributions , 1983 .

[11]  C. Trowbridge.  Low frequency electromagnetic field computation in three dimensions , 1985 .

[12]  The use of transformations in applying boundary conditions to three-dimensional vector field problems , 1985 .

[13]  J. Simkin,et al.  Further developments in three dimensional Eddy current analysis , 1985 .

[14]  C. Trowbridge.  Electromagnetic computing: the way ahead? , 1988 .

[15]  Use of a two-component vector potential for 3-D eddy current calculations , 1988 .

[16]  D. Rodger,et al.  Finite element scheme for transient 3D eddy currents , 1988 .

[17]  K. Preis,et al.  Calculation of 3D eddy current problems by finite element method using either an electric or a magnetic vector potential , 1988 .

[18]  A. Kameari.  Three-dimensional eddy current calculation using finite element method with A-V in conductor and Omega in vacuum , 1988 .

[19]  C. Trowbridge,et al.  Transient 3D eddy currents using modified magnetic vector potentials and magnetic scalar potentials , 1988 .

[20]  T. Morisue.  A few formulation of the magnetic vector potential method in 3-D multiply connected regions , 1988 .