• DocumentCode
    3056495
  • Title

    An approach to all modes of nonlinear oscillations in three-phase circuits by computer algebra system

  • Author

    Okumura, Katsuhiro

  • Author_Institution
    IRMACS Centre, Simon Fraser Univ., Burnaby, BC, Canada
  • fYear
    2012
  • fDate
    2-5 Dec. 2012
  • Firstpage
    196
  • Lastpage
    199
  • Abstract
    This paper describes an approach to all modes of subharmonic oscillation in nonlinear three-phase series resonance circuits. Using the computer algebra system, we derive the fundamental equations which become either autonomous or nonautonomous system owing to the degree of polynomials that approximate the magnetic characteristic of nonlinear inductors.
  • Keywords
    asymptotic stability; circuit resonance; inductors; oscillations; polynomials; process algebra; resonance; Krawczyk-Moore-Jones algorithm; Krylov Bogoliubov Mitropolsky asymptotic method; asymptotic stability; autonomous system; computer algebra system; degree of polynomials; determining equation; fundamental equations; interval mathematics; multimodes systems; nonautonomous system; nonlinear inductors magnetic characteristic; nonlinear oscillations; nonlinear three-phase series resonance circuits; power systems; subharmonic oscillation; subharmonic oscillations; three-phase circuits; DVD; Integrated circuits; Oscillators;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems (APCCAS), 2012 IEEE Asia Pacific Conference on
  • Conference_Location
    Kaohsiung
  • Print_ISBN
    978-1-4577-1728-4
  • Type

    conf

  • DOI
    10.1109/APCCAS.2012.6419005
  • Filename
    6419005