Arabian Journal for Science and Engineering

, Volume 38, Issue 12, pp 3383–3397 | Cite as

Analytical Solution for Steady and Transient States of Buck DC–DC Converter in CCM

  • Ebrahim BabaeiEmail author
  • Hamed Mashinchi Maheri
Research Article - Electrical Engineering


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.


Buck dc–dc converter Modeling Laplace transform Z-transform 


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Copyright information

© King Fahd University of Petroleum and Minerals 2013

Authors and Affiliations

  1. 1.Faculty of Electrical and Computer EngineeringUniversity of TabrizTabrizIran

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