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Analysis of Reactance Oscillators Having MultiMode Oscillations
Yoshihiro YAMAGAMI Yoshifumi NISHIO Akio USHIDA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E89A
No.3
pp.764771 Publication Date: 2006/03/01
Online ISSN: 17451337
DOI: 10.1093/ietfec/e89a.3.764
Print ISSN: 09168508 Type of Manuscript: PAPER Category: Circuit Theory Keyword: oscillator, multiple oscillations, harmonic balance method, Newton homotopy method, SPICE,
Full Text: PDF>>
Summary:
We consider oscillators consisting of a reactance circuit and a negative resistor. They may happen to have multimode oscillations around the antiresonant 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 Spiceoriented 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.

