Analytical Solution for Steady and Transient States of Buck DC–DC Converter in CCM
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In this paper, a new method is proposed for mathematical modeling of buck dc–dc converter in continuous conduction mode. In this method, the differential equations of inductor current and capacitor voltage are firstly obtained. Then, using Laplace and Z transforms, the differential equations of inductor current and output voltage of converter are solved to obtain the relations of them. In the proposed method, the Laplace transform is used to determine the general equations of inductor current and output voltage and the Z-transform is used to determine their initial conditions. The transient and steady states responses of converter are analyzed using the obtained mathematical model. In addition, the effect of converter components on output voltage and inductor current ripples is investigated. The validity of proposed method is reconfirmed by experimental and simulation results using PSCAD/EMTDC software.
KeywordsBuck dc–dc converter Modeling Laplace transform Z-transform
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