• DocumentCode
    815589
  • Title

    Simplification of symmetric boundary element model including asymmetric parts

  • Author

    Tsuboi, H. ; Tanaka, M. ; Misaki, T. ; Naito, T. ; Morita, T.

  • Author_Institution
    Dept. of Inf. Eng., Fukuyama Univ., Japan
  • Volume
    28
  • Issue
    2
  • fYear
    1992
  • fDate
    3/1/1992 12:00:00 AM
  • Firstpage
    1724
  • Lastpage
    1727
  • Abstract
    The simplification method for the boundary element model with rotational symmetry is expanded and applied to the boundary element model including asymmetrical parts. The expanded simplification method is performed by a variable transformation which is similar to the variable transformation for the rotational symmetry model. The coefficient matrix of the final simultaneous equations is transformed into a bordered block diagonal matrix. The reduction ratios of the calculation time are shown using the number of symmetrical subregions, the numer of unknowns in the fundamental part, and the number of unknowns in the asymmetrical part. The proposed simplification method is effective for large-scale problems using a large number of unknowns. The applicability of the proposed method was verified by a numerical example: a three-core cable model including a symmetric part for 2-D eddy current analysis using the z-component of the vector potential
  • Keywords
    boundary-elements methods; eddy currents; matrix algebra; 2D eddy current analysis; asymmetric parts; bordered block diagonal matrix; calculation time; coefficient matrix; large-scale problems; rotational symmetry; symmetric boundary element model; three-core cable model; variable transformation; vector potential; Boundary element methods; Computational modeling; Content addressable storage; Data analysis; Electromagnetic analysis; Electromagnetic fields; Equations; Gaussian processes; Performance analysis; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.124036
  • Filename
    124036