Time-domain analysis of switching converters based on a discrete-time transition model of the spectral coefficients of state variables

In this paper, a new method for the large-signal time-domain analysis of switching converters is presented. It is based on a discrete-time transition model for the coefficients of time-domain spectral form of state variables describing the behavior of the converter between each pair of switching instants. The variables controlling the zero-current and zero-voltage switching instants are represented by finite-order approximating polynomials, whose zeros are determined by means of a fastly convergent interval analysis technique; the analysis of synchronous commutations is carried out by means of the compensation theorem. In order to illustrate the effectiveness and accuracy of the proposed method the example of a regulated dc-dc converter is given.