Bidirectional power flow control of a power converter using passive Hamiltonian techniques

A controller able to achieve bidirectional power flow for a boost-like full-bridge rectifier is presented. It is shown that no single output yields a stable zero dynamics for power flowing both ways. The controller is computed using port Hamiltonian passivity techniques for a suitable generalized state space averaging truncation of the system, which transforms the control objectives, namely specified output mean value of the voltage dc-bus and unity input power factor in the ac side, into a regulation problem. Simulation and experimental results for the full system confirm the correctness of the simplifications introduced to obtain the controller. Copyright © 2007 John Wiley & Sons, Ltd. A preliminary version of the results reported in this paper was presented at the 44th IEEE Conference on Decision and Control, and the European Control Conference, Seville, Spain, 12–15 December 2005.

[1]  C. K. Michael Tse,et al.  Fast‐scale bifurcation in single‐stage PFC power supplies operating with DCM boost stage and CCM forward stage , 2006, Int. J. Circuit Theory Appl..

[2]  Mehrdad Ehsani,et al.  Analysis of power electronic converters using the generalized state-space averaging approach , 1997 .

[3]  Boon-Teck Ooi,et al.  A single-phase controlled-current PWM rectifier , 1988 .

[4]  A. Schaft,et al.  On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems , 1999 .

[5]  A. Stanković,et al.  Multifrequency averaging of DC/DC converters , 1999 .

[6]  Romeo Ortega,et al.  Putting energy back in control , 2001 .

[7]  G. Tadmor On approximate phasor models in dissipative bilinear systems , 2002 .

[8]  A. Schaft L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences 218 , 1996 .

[9]  Andreas Kugi Non-Linear Control Based on Physical Models: Electrical, Hydraulic, and Mechanical Systems , 2001 .

[10]  E. Fossas-Colet,et al.  Asymptotic tracking in DC-to-DC nonlinear power converters , 2002 .

[11]  Enric Fossas,et al.  Robust controller for a full-bridge rectifier using the IDA approach and GSSA modeling , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Arjan van der Schaft,et al.  Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems , 2002, Autom..

[13]  C. K. Michael Tse,et al.  Fast‐scale bifurcation in power‐factor‐correction buck‐boost converters and effects of incompatible periodicities , 2006, Int. J. Circuit Theory Appl..

[14]  Philip T. Krein,et al.  On the use of averaging for the analysis of power electronic systems , 1989 .

[15]  J. M. Noworolski,et al.  Generalized averaging method for power conversion circuits , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[16]  A. Schaft,et al.  Port-controlled Hamiltonian systems : modelling origins and systemtheoretic properties , 1992 .

[17]  Robert Grino,et al.  GENERALIZED STATE SPACE AVERAGING FOR PORT CONTROLLED HAMILTONIAN SYSTEMS , 2005 .

[18]  Romeo Ortega,et al.  Power flow control of a doubly-fed induction machine coupled to a flywheel , 2004, Proceedings of the 2004 IEEE International Conference on Control Applications, 2004..

[19]  Romeo Ortega,et al.  Passivity-based controllers for the stabilization of Dc-to-Dc Power converters , 1997, Autom..

[20]  Robert Grino,et al.  Sliding mode control of a full-bridge unity power factor rectifier , 2003 .

[21]  Arnau Doria-Cerezo Modeling, Simulation and Control of Doubly-Fed Induction Machine Controlled by Back-to-Back converter , 2006 .

[22]  Pablo Lezana,et al.  High-voltage multilevel converter with regeneration capability , 2002, IEEE Trans. Ind. Electron..

[23]  C. K. Michael Tse,et al.  Circuit theory of power factor correction in switching converters , 2003, Int. J. Circuit Theory Appl..

[24]  Henry Shu-Hung Chung,et al.  A bi-directional AC-DC power converter with power factor correction , 1998 .