Coexistence of Solutions in a DC-DC Buck converter controlled by sine wave

Jose D. Morcillo B., Gerard Olivar

Research output: Contribution to conferencePaperpeer-review

2 Citations (Scopus)

Abstract

Low power systems are widely used in robotics and industrial areas; therefore, modeling and systems analysis provide reliable and best designs of such systems. In that way, a Buck converter controlled by PWM is investigated using a new design, replacing the T periodic ramp signal by a T periodic sine wave for two reasons: the sine wave is easier to generate and analyze, and in order to get rid of non-linear qualities of the ramp signal. Then, bifurcation diagrams are obtained varying the parameters ascending and descending in the new Buck converter design to find coexisting attractors, which are normally an undesired behavior in nonlinear systems or useful for some applications. Although it is demonstrated that these bifurcation diagrams are not the sufficient remedy to find coexistence of solutions, it is also shown that they are a good tool. Once bifurcation diagrams show the range where coexistence of solutions appear, we proceed to study in that range the shape of the basins and the system solutions, with the aim of determining the specific regions in which the system presents different behaviors. This is because many practical applications today need not only periodic solutions but also more complex ones. Finally, basins of attraction are obtained and studied for some parameters of the system. Bounded and fractal regions are observed; moreover, the evolution of the attractors in the time domain for each parameter value are shown.

Original languageEnglish
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event2011 IEEE 9th Latin American Robotics Symposium and IEEE Colombian Conference on Automatic Control, LARC 2011 - Bogota, D.C., Colombia
Duration: 1 Oct 20114 Oct 2011

Conference

Conference2011 IEEE 9th Latin American Robotics Symposium and IEEE Colombian Conference on Automatic Control, LARC 2011
CountryColombia
CityBogota, D.C.
Period1/10/114/10/11

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'Coexistence of Solutions in a DC-DC Buck converter controlled by sine wave'. Together they form a unique fingerprint.

Cite this