Acerca de las bifurcaciones de un convertidor ZAD-Ćuk (original) (raw)

Abstract

In this paper, we make a bifurcation analysis of a mathematical model for a Cuk converter when it is controlled by center PWM (Pulse Width Modulator) and ZAD (Zero Average Dynamics) strategy. Different nonlinear phenomena like bifurcations and chaos are reported when the parameters associated to the commutation surface are varied. Finally, the existence of chaotic behavior in the system is determined using Lyapunov exponents.

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.

References (17)

  1. e Informática Industrial, Vol. 2, No. 4, 25-35, 2005.
  2. Angulo, F., Burgos, J. E. and Olivar, G. Chaos Stabilization with TDAS and FPIC in a Buck Converter controlled by Lateral PWM and ZAD. Proceedings of the 15th Mediterranean Conference on Control and Automation, Athens, Greece, 2007.
  3. Banerjee, S. and Verghese, G.C. Nonlinear Phenomena in Power Electronics. Piscataway, IEEE Press, 2001.
  4. Bilalovic f., Muisca O. and A. Sabanovic., Buck converter regulator Operating in the sliding mode, Proceedings VII International PCI, pp 331-340, 1983.
  5. Casanova T, S. Análisis de la Dinámica de un Convertidor Boost Controlado con ZAD, Tesis de doctorado, UN, 2011.
  6. Castro Morales, Christian. Implementación De Un Controlador Universal Para Convertidores De Alta Frecuencia De Conmutación, Escuela Superior de Ingeniería Mecánica y Eléctrica, 2008.
  7. C. K. Tse, Y. M. Lai, and H. H. C. Iu, Hopf bifurcation and chaos in a free-running current- controlled Cuk switching regulator, IEEE Trans. Circuits Syst. I, Reg. apers, vol. 47, no. 4, pp. 448- 457, Apr. 2000.
  8. Chan, W. and Tse, C. Study of Bifurcations in Current-Programmed DC/DC Boost Converters: From Quasi-Periodicity to Period-Doubling, IEEE Trans. Circuits Syst. I., 1129-1142, 1997.
  9. Chua L.O. Special issue on chaos in electronics systems; contains many tutorial and descriptive articles for the non-specialist, Proceedings IEEE, vol. 75, No. 8, August 1987.
  10. Debbat B. Mohamed, A. E Aroudi, Bouyadjra, Rochdi. Bifurcation Analysis of Current Mode Control Cuk DC-DC Converter, International Journal of Computer Applications (0975 -8887) Volume 55 - No. 03, October 2012.
  11. Deivasundari Parvathyshankar, Govindaraian Uma, Simon Ashita. Chaotic dynamics of a zero average dynamics controlled DC -DC Cuk converter, IET Power electronics, July 2013.
  12. Devaney L. Robert, An Introduction to Chaotic Dynamical Systems, Department of mathematics. Boston University. 1989.
  13. Flores, J. L. B. Avalos and C. A. B. Espinoza, Passivity-Based Controller and Online Algebraic Estimation of the Load Parameter of the DC-to-DC Power Converter Cuk Type, 2007.
  14. Fossas, E., G. and Biel, D. Quasisliding Control based on Pulse Width Modulation, zero averaged dynamics and the Q norm. In Advances in Variable Structure System, Analysis, Integration and Applications, 335-344, 2001.
  15. Grisales A, Andrés M. Análisis de la dinámica de un convertidor tipo Cuk controlado con Zad y PWMC, tesis de maestría, universidad Nacional de Colombia, Manizales, 2014.
  16. KUZNETZOV YURI A., Elements of
  17. Applied Bifurcation Theory. Springer-Verlag, New York, 2004.