Stability analysis of a single inductor dual switching dc-dc converter

This paper deals with the analysis of a single inductor switching dc-dc power electronics converter which is used to regulate two, in general non-symmetric, positive and negative outputs. A PWM control with a double PI feedback loop is used for the regulation of both output voltages. The steady state properties of this converter are first discussed and then stability is studied in terms of both power stage and control parameters.

[1]  P.T. Krein,et al.  Types of instability encountered in simple power electronic circuits: unboundedness, chattering, and chaos , 1990, Fifth Annual Proceedings on Applied Power Electronics Conference and Exposition.

[2]  M. Bernardo,et al.  Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters , 2000 .

[3]  Philip T. Krein,et al.  Elements of Power Electronics , 1997 .

[4]  Tore Undeland,et al.  Power Electronics: Converters, Applications and Design , 1989 .

[5]  Chi K. Tse,et al.  Complex behavior in switching power converters , 2002, Proc. IEEE.

[6]  Stephen John Hogan,et al.  Local Analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems , 1999 .

[7]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[8]  Philip T. Krein,et al.  Limit cycle geometry and control in power electronic systems , 1989, Proceedings of the 32nd Midwest Symposium on Circuits and Systems,.

[9]  J. Hamar,et al.  Asymmetrical operation of dual channel resonant DC-DC converters , 2003 .

[10]  Erik Mosekilde,et al.  Bifurcations and chaos in piecewise-smooth dynamical systems , 2003 .

[11]  O. Dranga,et al.  Bifurcation in a dual channel resonant DC-DC converter , 2000, ISIE'2000. Proceedings of the 2000 IEEE International Symposium on Industrial Electronics (Cat. No.00TH8543).

[12]  George C. Verghese,et al.  Principles of Power Electronics , 2023 .

[13]  István Nagy,et al.  Stability analysis of a feedback-controlled resonant DC-DC converter , 2003, IEEE Trans. Ind. Electron..

[14]  Y. Kuznetsov.  Elements of applied bifurcation theory (2nd ed.) , 1998 .

[15]  James A. Yorke,et al.  Anomalous bifurcations in DC-DC converters: borderline collisions in piecewise smooth maps , 1997, PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972.

[16]  Mario di Bernardo,et al.  Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter , 1998 .

[17]  D. C. Hamill,et al.  Instability, subharmonics and chaos in power electronic systems , 1989 .

[18]  István Nagy,et al.  Control features of dual-channel DC-DC converters , 2002, IEEE Trans. Ind. Electron..

[19]  Y. Kuznetsov.  Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.

[20]  G. L. Arsov,et al.  Symmetrical power supply for 42 v automotive applications , 2004 .