| Abstract |
A method to analyze the operation of dc/dc converters is presented in this paper; it allows to describe such nonlinear systems, characterized by a periodic switch-mode operation, through a discrete, linear, time-invariant (DLTI) model. The proposed technique provides significant tools to evaluate the dynamics of a large class of switching circuits, under not restrictive conditions. Compared to the currently used analytical and numerical methods, the proposed modelling technique exhibite the following distinct advantages: an error-free steady-state analysis with respect to the linear time-varying model of the circuit; the possibility of estimating quantitatively the ripple in the output variable; a good accuracy in the frequency response at high as at low frequencies. Results are presented concerning the analysis of several types of dc/dc converters such as buck, boost and buck-boost. For such circuits the frequency response and the poles location are obtained as a function of either the duty-ratio d or the value of some significant circuit parameters. |
