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Mathematical Problems in Engineering
Volume 2009, Article ID 946245, 19 pages
Research Article

Dynamical Analysis of an Interleaved Single Inductor TITO Switching Regulator

1Departament d'Enginyeria Electrònica, Elèctrica i Automàtica (DEEEA), Universitat Rovira i Virgili, Tarragona, Spain
2Departament de Física Aplicada, Universitat Politècnica de Catalunya, Barcelona, Spain

Received 1 December 2008; Revised 24 February 2009; Accepted 7 April 2009

Academic Editor: José Roberto Castilho Piqueira

Copyright © 2009 Abdelali El Aroudi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the dynamical behavior of a single inductor two inputs two outputs (SITITO) power electronics DC-DC converter under a current mode control in a PWM interleaved scheme. This system is able to regulate two, generally one positive and one negative, voltages (outputs). The regulation of the outputs is carried out by the modulation of two time intervals within a switching cycle. The value of the regulated voltages is related to both duty cycles (inputs). The stability of the whole nonlinear system is therefore studied without any decoupling. Under certain operating conditions, the dynamical behavior of the system can be modeled by a piecewise linear (PWL) map, which is used to investigate the stability in the parameter space and to detect possible subharmonic oscillations and chaotic behavior. These results are confirmed by numerical one dimensional and two-dimensional bifurcation diagrams and some experimental measurements from a laboratory prototype.