• DocumentCode
    857998
  • Title

    Power-frequency relations in nonlinear two-poles

  • Author

    Kudrewicz, Jacek

  • Author_Institution
    Polish Academy of Science, Warsaw, Poland
  • Volume
    51
  • Issue
    11
  • fYear
    1963
  • Firstpage
    1599
  • Lastpage
    1605
  • Abstract
    In the first part of the paper, some properties of the coefficients of the Fourier-series function f[v(t)] are presented, where f(v) is an arbitrary continuous function and v(t) is an almost-periodic function. In the second part of the paper, the power-frequency relations for nonlinear two-poles are obtained on the basis of these properties. These power-equilibrium equations are the generalizations of Groszkowski´s and Manley-Rowe´s equations. The presented, generalized form of these equations comprise as well the elements having loop-like characteristics, nonlinear inductance, capacitance with losses, and others.
  • Keywords
    Capacitance; Capacitance-voltage characteristics; Fourier series; Frequency; Helium; Inductance; Integral equations; Nonlinear equations; Power generation; Power system harmonics;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1963.2632
  • Filename
    1444562