Stability verification of microwave circuits through floquet multiplier analysis

Collantes, J.M.; Lizarraga, Ibone; Anakabe, A.; Jugo, J.

doi:10.1109/apccas.2004.1413049

Cited by 48 publications

(54 citation statements)

References 4 publications

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“…In the case of load "a", the positive slope of the phase characteristic at the resonance frequency [ Fig. 5(c)] indicates unstable behavior, in agreement with the results of the polezero identification [21][22][23]25] in [ Fig. 5(a)].…”

Section: Small-signal Analysissupporting

confidence: 76%

“…Perturbation frequency variations in the interval 0 < f < f in /2 will be considered. This reduction of the analyzed frequency interval is enabled by the pole repetition with periodicity f in inherent in the stability of periodic solutions, and due to the non-univocal relationships between the Floquet multipliers and the poles [23]. Furthermore, due to the action of the output filter, this will be the frequency interval with maximum observability.…”

Section: Large-signal Stability Analysis Against Mismatch Effectsmentioning

confidence: 99%

“…The results have been validated using various passive loads, which have enabled a comparison with well-established analysis techniques, such as pole-zero identification [21][22][23][24][25] or bifurcation detection with auxiliary generators [11,14,26]. Measurements have also been carried out for the two amplifiers, which exhibited unstable behavior under the conditions predicted by the method.…”

Section: Introductionmentioning

confidence: 99%

“…If the frequency characteristic of the mismatched load could be measured or modeled, this can be combined with the output circuit admittance ( ) out Y f to obtain an impedance type closed-loop transfer function [21][22][23]25] given by:…”

Section: Small-signal Analysismentioning

confidence: 99%

“…This is different from regular stability analyses that require knowledge of the frequency response of all the circuit elements [17][18][19][20][21][22][23][24][25]. Two different situations are analyzed in two nonlinear amplifiers used as demonstrators.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Stability Analysis of Power Amplifiers Under Output Mismatch Effects

Suárez

Ramírez

Sancho

2014

IEEE Trans. Microwave Theory Techn.

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1 Abstract -Novel criteria are presented for small-and large-signal stability analysis of microwave circuits under output mismatch effects. They are based on concepts from bifurcation theory, which enable the derivation of general equations for the stability boundaries that depend on the termination load. The boundary calculation does not require any optimization of the circuit parameters. Instead, it is based on the direct calculation of an admittance function obtained through circuit linearization about either the dc solution, in the small-signal stability analysis, or the periodic solution, in the large-signal one, with low computational cost. As will be demonstrated both with homotopy and bifurcation concepts, the Hopf locus obtained in this way delimits a stable region and a potentially unstable one. In a large-signal stability analysis, the sidebands that influence the stability properties are identified, which depend on the particular amplifier topology and its filtering effects. The stability boundaries are then calculated with the conversion matrix approach for all load impedance values at the relevant harmonic and sideband frequencies. For the derivation of absolute stability conditions, a new scattering type matrix is proposed describing the circuit response from the output reference plane with respect to the two sidebands about the input carrier. The new methodologies and formulations have been validated by independent simulations using pole-zero identification, and by measurements.

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Section: Small-signal Analysissupporting

confidence: 76%

Section: Large-signal Stability Analysis Against Mismatch Effectsmentioning

confidence: 99%