REVISTA FACULTAD DE INGENIERÍA, U.T.A. (CHILE), VOL. 11 Nº2, 2003, pp. 41-47

HYBRID MODELING OF OPEN LOOP DC-DC CONVERTERS

Ekaitz Zulueta¹     Teodoro Rico¹     José María González de Durana¹

[1] Universidad del País Vasco, EUIT, Victoria-Gasteiz, España, iepzugue@vc.ehu.es, iszripat@vc.ehu.es, jtpgogaj@vc.ehu.es.

ABSTRACT

Power electronic converters always have been circuits of difficult modelling because differential equations that describe them have discontinuities. Although this situation has been improved since the appearance of the Hybrid Systems theory, able to jointly describe both continuous and discrete behaviors exhibited by some physical systems, nowadays it is possible to obtain very precise models which help us in the study and design of such circuits.  An excellent option for the discrete part model (reactive system) is to use statecharts, since this powerful language has recently been implemented and named Stateflow as a part of the Simulink toolbox of Matlab.  So, today, the complete modeling of some hybrid systems within Matlab environment is possible.  In this work the open loop hybrid modeling and simulation of the well-known dc-dc converters named buck and boost, using Matlab-Simulink-Stateflow, is  presented.

Keywords:  Hybrid-systems, hybrifold, dc-dc converters, reactivate-systems, switching-systems, statecharts.

ACKNOWLEDGEMENTS

We would like to express our thankfulness to Ingeborg Mahla, by her kindles providing us the manuscript of their work [3] and by her interesting comments and ideas about Hybrid Systems.
Also to T.  John Koo by his gentleness providing us the manuscript of their work [1]. As far as we know, they have been the first in obtaining hybrid models of power electronics devices.
Finally, to professor D. Manuel Fernandez Rodriguez, from the University of Oviedo, area I.S.A., for having notified to us, some several years ago, about the importance and utility of Matlab’s Stateflow toolbox.


REFERENCES

[1] Matthew Senesky, Gabriel Eritrea, and T. John Koo: Hybrid Modelling and Control of Power Electronics. Hybrid Systems: Computation and Control, Lecture Notes in Computer Science, Vol 2623, p450-465, Springer-Verlag, 2003.        [ Links ]

[2] J.H. Su, J.J. Chen and D.S.Wu: Learning feedback controller design of switching converters via Matlab/Simulink. IEEE Transactions on Education, Vol.  45, NO.4, pp.  307–315, Nov.  2002.        [ Links ]

[3] Ricardo F. Ovalle, Ingeborg Mahla: Introducción al modelamiento y análisis de estabilidad de sistemas híbridos mediante la transformación de Poincaré, Anales del XV Congreso Chileno de Control Automático, Santiago, 28-31 de octubre de 2002.        [ Links ]

[4] D. Harel, Statecharts: a visual formalism for complex systems, Science of Compueter Programing 8, pp. 231-274, 1987.        [ Links ]

[5] S.N. Simi, K.H. Johanson, J. Lygeros & S. Sastry: Towards a Geometric Theory of Hybrid Systems Hybrid Systems:  Computation and Control, vol.  1790 of Lecture Notes in Computer Science, pp.421–436, Springer Verlag, Pittsburg, PA, 2000.         [ Links ]

Received september 02, 2003, accepted  december 31, 2003