Analysis of Reactance Oscillators Having Multi-Mode Oscillations

  • YAMAGAMI Yoshihiro
    Department of Electrical and Electronic Engineering, Faculty of Engineering, University of Tokushima
  • NISHIO Yoshifumi
    Department of Electrical and Electronic Engineering, Faculty of Engineering, University of Tokushima
  • USHIDA Akio
    Department of Mechanical and Electronic Engineering, Faculty of Engineering, Tokushima Bunri University

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抄録

We consider oscillators consisting of a reactance circuit and a negative resistor. They may happen to have multi-mode oscillations around the anti-resonant frequencies of the reactance circuit. This kind of oscillators can be easily synthesized by setting the resonant and antiresonant frequencies of the reactance circuits. However, it is not easy to analyze the oscillation phenomena, because they have multiple oscillations whose oscillations depend on the initial guesses. In this paper, we propose a Spice-oriented solution algorithm combining the harmonic balance method with Newton homotopy method that can find out the multiple solutions on the homotopy paths. In our analysis, the determining equations from the harmonic balance method are given by modified equivalent circuit models of "DC," "Cosine" and "Sine" circuits. The modified circuits can be solved by a simulator STC (solution curve tracing circuit), where the multiple oscillations are found by the transient analysis of Spice. Thus, we need not to derive the troublesome circuit equations, nor the mathematical transformations to get the determining equations. It makes the solution algorithms much simpler.

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詳細情報 詳細情報について

  • CRID
    1573387451751026432
  • NII論文ID
    110004656535
  • NII書誌ID
    AA10826239
  • ISSN
    09168508
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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