Title: Discrete-time modelling and behaviour analysis of an N-cell DC/DC buck converter

Authors: Karama Koubaâ; Moez Feki

Addresses: Control and Energy Management Laboratory (CEMLab), National Engineering School of Sfax, University of Sfax, BP 1173, 3038 Sfax, Tunisia ' Control and Energy Management Laboratory (CEMLab), National Engineering School of Sfax, University of Sfax, BP 1173, 3038 Sfax, Tunisia; Ecole Supérieure des Sciences et de la Technologie de Hammam Sousse, University of Sousse, Rue Lamine Abbassi, 4011 Hammam Sousse, Tunisia

Abstract: Multi-cell converters were developed as a result of a growing need for higher power converters. They permit to reduce the voltage across the switches and the output voltage harmonics. In this paper, we propose a discrete model for a multi-cell DC/DC buck converter controlled by a proportional controller using the pulse width modulator technique. A detailed stability analysis is given with illustrative simulation results, which show that increasing the value of the current gain of the proportional controller leads to a chaotic behaviour.

Keywords: multi-cell converters; DC-DC buck converters; discrete time modelling; proportional controllers; chaotic behaviour; chaos; behavioural analysis; pulse width modulation; PWM; stability analysis.

DOI: 10.1504/IJESMS.2016.073319

International Journal of Engineering Systems Modelling and Simulation, 2016 Vol.8 No.1, pp.54 - 64

Accepted: 22 Dec 2014
Published online: 30 Nov 2015 *

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