Title: Nonlinear phenomena in DC-DC buck converter by means of iteration mapping technique

Authors: Ahmad M. Harb; Souhib M. Harb

Addresses: Department of Energy Engineering, German Jordanian University (GJU), Amman, Jordan ' Department of Electrical and Computer Engineering, Texas A&M University College Station, TX 77843, USA

Abstract: In this paper, the nonlinear phenomenon in DC/DC buck converter is studied. A practical design for a DC/DC buck converter was considered in this study, which results in a more comprehensive understanding for the phenomenon. The nonlinearity of the buck converter is studied using the iteration mapping technique. The results showed that if the system has a well-designed buck converter as well as a feedback controller, then it does not exhibit any nonlinear behaviour. To verify these results, a buck converter, with non-practical parameters, was also studied. In this case, the results showed bifurcation and then chaotic behaviour for the output voltage and inductor current as the input voltage changes. A comparison between the two cases is discussed in more details.

Keywords: DC-DC converters; buck converters; bifurcation; chaos; nonlinear theory; iteration mapping; feedback control; output voltage; inductor current; input voltage.

DOI: 10.1504/IJPELEC.2014.067438

International Journal of Power Electronics, 2014 Vol.6 No.4, pp.305 - 323

Accepted: 03 Sep 2014
Published online: 12 Feb 2015 *

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