Integrodifferential finite element formulation of two-dimensional steady-state skin effect problems. Konrad, A. IEEE Transactions on Magnetics, 18(1):284–292, IEEE, January, 1982.
doi  abstract   bibtex   
A novel integrodifferential approach to steady-state skin effect problems is applied to two-dimensional geometries using traditional triangular finite elements. The forcing function in the new formulation is the total measurable current in the conductors. An explanation of why the new approach works is included. The application of Galerkin's criterion to the integrodifferential equation is outlined and it is shown how to proceed with the finite element discretization. The methods used in the computation of performance measuring quantities useful to designers are described in detail. Simple examples illustrate the method. Results are validated by comparison to known solutions.
@Article{         Konrad_1982aa,
  abstract      = { A novel integrodifferential approach to steady-state skin effect problems is applied to two-dimensional geometries using traditional triangular finite elements. The forcing function in the new formulation is the total measurable current in the conductors. An explanation of why the new approach works is included. The application of Galerkin's criterion to the integrodifferential equation is outlined and it is shown how to proceed with the finite element discretization. The methods used in the computation of performance measuring quantities useful to designers are described in detail. Simple examples illustrate the method. Results are validated by comparison to known solutions.},
  author        = {Konrad, Adalbert},
  doi           = {10.1109/TMAG.1982.1061775},
  file          = {Konrad_1982aa.pdf},
  issn          = {0018-9464},
  journal       = {IEEE Transactions on Magnetics},
  keywords      = {FEM,DAE,eddy-currents,field,circuit},
  langid        = {english},
  month         = jan,
  number        = {1},
  pages         = {284--292},
  publisher     = {IEEE},
  title         = {Integrodifferential finite element formulation of two-dimensional steady-state skin effect problems},
  volume        = {18},
  year          = {1982},
  shortjournal  = {IEEE Trans. Magn.}
}

Downloads: 0