Title: Control of chaos in positive output Luo converter using slope compensation method

Authors: Anbukumar Kavitha; Govindarajan Uma

Addresses: Electrical and Electronics Department, College of Engineering, Guindy, Anna University, Chennai-600 025, India. ' Electrical and Electronics Department, College of Engineering, Guindy, Anna University, Chennai-600 025, India

Abstract: This paper illustrates the control of chaotic behaviour in positive output Luo converter by slope compensation method. Bifurcation analysis is carried out in the discrete domain for a current controlled Luo converter operating in the continuous conduction mode. As the reference current is varied, periodic 1 orbit undergoes a flip bifurcation, periodic doubling and finally enters into chaotic regime. Variable ramp compensation technique is proposed to dynamically adjust the slope of the inductor current such that the upper bound of I_ref is increased thereby widening the operating range. An iterative function that describes the dynamics of the inductor current with and without variable ramp compensation and the equivalent criteria for bifurcation-free operation is derived. A computer simulation using MATLAB/Simulink confirms the predicted bifurcations. The simulated results are validated through hardware implementation.

Keywords: positive output DC-DC Luo converter; current mode control; variable ramp compensation; VRC; chaos control; slope compensation; chaotic behaviour; bifurcation analysis; simulation.

DOI: 10.1504/IJPELEC.2012.044146

International Journal of Power Electronics, 2012 Vol.4 No.1, pp.17 - 32

Accepted: 07 Feb 2011
Published online: 23 Aug 2014 *

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