A. Suarez et al., SYNCHRONIZATION ANALYSIS OF AUTONOMOUS MICROWAVE CIRCUITS USING NEW GLOBAL-STABILITY ANALYSIS TOOLS, IEEE transactions on microwave theory and techniques, 46(5), 1998, pp. 494-504
A new spectral-balance technique for the global-stability analysis of
autonomous circuits is presented in this paper. This technique relies
on the introduction of measuring probes into the circuit and it allows
a simple determination of both bifurcation diagrams and bifurcation l
oci as a function of any suitable parameter. Through the proposed algo
rithms, this kind of analysis can be easily added to any existing soft
ware, since it is performed externally to the harmonic-balance (HB) ca
lculation. Due to its local nature, it also allow's an easy selection
of the bifurcation parameters, which spreads the simulation possibilit
ies. Both periodic and quasi-periodic regime simulations are possible,
and bifurcations are detected in both operating modes. The synchroniz
ation phenomenon in injected oscillators and frequency dividers is als
o analyzed in detail for an accurate prediction of the operating bands
, The simulation techniques are illustrated by means of their applicat
ion to a cubic nonlinearity oscillator. They are then used for the sta
bility analysis of a monolithic microwave integrated circuit (MMIC) di
vider by two operating in the millimetric range, A very good agreement
has been obtained with the experimental results.