• DocumentCode
    1168432
  • Title

    DC solution of nonlinear state-space equations in circuit analysis

  • Author

    Cermak, Ivan A.

  • Volume
    18
  • Issue
    2
  • fYear
    1971
  • fDate
    3/1/1971 12:00:00 AM
  • Firstpage
    312
  • Lastpage
    314
  • Abstract
    A reliable algorithm is described for calculation of the initial condition state vector as formulated in network transient analysis programs. The algorithm is based on a combination of Davidenko´s parameter-stepping method and Broyden´s method. It has been found to give fast reliable solutions even in cases for which most Newton-Raphson methods fail to converge, as well as for circuits that produce singular systems of equations at the starting point.
  • Keywords
    Computer-aided circuit analysis; Nonlinear network analysis & design; Nonlinear networks; State-space methods; Capacitors; Circuit analysis; Current measurement; Inductors; Jacobian matrices; Newton method; Nonlinear equations; Transient analysis; Turning; Voltage;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1971.1083271
  • Filename
    1083271