2014
DOI: 10.1049/el.2014.0534
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Transient‐based conversion matrix approach for nonlinear stability analysis

Abstract: A new methodology aimed at assessing the large-signal stability of nonlinear driven circuits in the large-signal regime is presented. The procedure combines the conversion matrix approach with a transient envelope simulation and can be implemented with most commercial nonlinear microwave CAD tools. A method for the analysis of the onset of spurious oscillation in nonlinear circuits operating in largesignal conditions is also given and criteria for the evaluation and modification of the critical loads that give… Show more

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Cited by 22 publications
(11 citation statements)
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“…Only small differences arise in the initial 10 ns, but they are caused by the poor convergence obtained simulating the native circuit due to the presence of distributed elements and S-parameter-based passive components. Anyway, the capability to detect the sub-harmonic oscillation condition is clearly shown, as discussed in [5]. Finally, the same comparison has been carried out with a time-domain transient simulator, that is the better solver for the analysis of complex non-linear phenomena or for synchronisation of subcircuits.…”
Section: Characterisation Of a Diode Frequency Divider (Dfd)mentioning
confidence: 98%
See 1 more Smart Citation
“…Only small differences arise in the initial 10 ns, but they are caused by the poor convergence obtained simulating the native circuit due to the presence of distributed elements and S-parameter-based passive components. Anyway, the capability to detect the sub-harmonic oscillation condition is clearly shown, as discussed in [5]. Finally, the same comparison has been carried out with a time-domain transient simulator, that is the better solver for the analysis of complex non-linear phenomena or for synchronisation of subcircuits.…”
Section: Characterisation Of a Diode Frequency Divider (Dfd)mentioning
confidence: 98%
“…To solve this issue some dedicated approaches for the stability analysis in the frequency-domain have been already proposed in the literature: for example based on the use of an auxiliary generator (AG) [1,3], on pole/zero analysis [4] or on the conversion matrix calculation [5][6][7]. However, all of them require some compromise: in case of the AG technique [3], for instance, it is assumed that a spurious signal is present and that a rough estimation of its frequency is already available.…”
Section: Introductionmentioning
confidence: 99%
“…The length of TL 1 is also minimised to avoid possible stability issues. Complete stability analysis of the circuit has been also carried out both in linear and non-linear regimes [13,14], ensuring the oscillation condition only at the desired frequencies.…”
Section: Oscillator Corementioning
confidence: 99%
“…This solution allows obtaining good noise performance, gain, and stability over the full bandwidth . Unconditional stability has been provided beyond of with the choice of suitable biasing conditions, by using inductors L1 and L2 ; while low‐noise characteristics are achieved with the feedback capacitor C1 between base and collector terminals of the transistor and again by using the inductors. About the gain, usually it is not necessary to provide a high gain as this building block in the AI scheme is useful to compensate the losses introduced by the remaining part of the circuit, beyond of to provide a proper phase delay between current and voltage to provide an inductive behavior.…”
Section: Ai Design and Filter Applicationmentioning
confidence: 99%