Mathematical modeling of buck–boost dc–dc converter and investigation of converter elements on transient and steady state responses

Abstract In this paper, a new method is proposed for mathematical modeling of buck–boost dc–dc converter in continuous conduction mode (CCM). In proposed method, using the Laplace transform the relations of inductor current and output voltage are obtained. In the next step, in each switching interval using the Z -transform the initial values of inductor current and output voltage are calculated. Then, the transient and steady states responses of these quantities are calculated. In addition, the effect of the values of converter components on each of these responses is investigated. Finally, the simulation results in PSCAD/EMTDC software as well as the experimental results are used to reconfirm the validity of the theoretical analysis.