An approach to the analysis of large-signal stability of a Boost converter via the small-signal loop gains is presented. The large-signal stable region of the small-signal designed bilinear Boost converter is estimated in light of the Input-output stability concept. By doing so, the effects of small-signals on large-signal stability are revealed. The effectiveness of the presented approach is verified by simulations and good agreement is reported.
PL
Zaprezentowano analizę stabilności przekształtnika DC-DC typu Boost dla dużych sygnałów. Porównano pracę dla małych i dużych sygnałów i porównano stabilność układów.
This paper presents the derivations of the voltage transfer functions of the amplifier A, the feedback network β, and the loop gain Τ of the common-drain (CD) Colpitts oscillator, using the small-signal model of the CD Colpitts oscillator. The derivation of the characteristic equation of the CD Colpitts oscillator is presented. Using the characteristic equation, the equation for the oscillation frequency of the sinusoidal output voltage and the condition for steady-state oscillation are derived. The characteristic equation is used to obtain a plot of trajectories of the poles of the CD Colpitts oscillator by varying the MOSFET small-signal transconductance gm. The locations of the complex conjugate poles depicting starting and steady-state conditions for oscillations are also presented.
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