An Accelerated Poincaré-Map Method for Finding the PSS of Autonomous Oscillators

  • S. H. M. J. Houben
  • J. M. Maubach
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


A novel time-domain method for finding the periodic steady-state of a free-running electrical oscillator is introduced. The method is based on the extrapolation technique MPE. This method is applied to the well-known Colpitt’s Oscillator, for which it turns out to have super-linear convergence.


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  1. 1.
    E. Hairer, S.P. Norsett, and G. Wanner. Solving Ordinary Differential Equations I. Springer, 1987.Google Scholar
  2. 2.
    S.H.M.J. Houben and J.M. Maubach. An accelerated poincarémap method for autonomous oscillators. pre-print, available from˜anwww/preprints/2000.html, 2000.
  3. 3.
    Ken Kundert. Simulation methods for RF integrated circuits. In Proceedings of ICCAD’97, 1997.Google Scholar
  4. 4.
    Stig Skelboe. Time-domain steady-state analysis of nonlinear electrical systems. In Proceedings of the IEEE, volume 70, pages 1210 – 1228, 1982.Google Scholar
  5. 5.
    David A. Smith, William F. Ford, and Avram Sidi. Extrapolation methods for vector sequences. SIAM Review, 29 (2): 199 – 233, 1987.MathSciNetzbMATHCrossRefGoogle Scholar
  6. 6.
    E.J.W. ter Maten. Numerical methods for frequency domain analysis of electronic circuits. Survey on Mathematics for Industry, 8: 171 – 185, 1999.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • S. H. M. J. Houben
    • 1
  • J. M. Maubach
    • 1
  1. 1.Department of Mathematics and Computing ScienceEindhoven University of TechnologyThe Netherlands

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