Stabilizing control for power converters connected to transmission lines

This paper proposes a switching control strategy for the set-point stabilization of a power converter connected via a transmission line to a resistive load. The strategy employs a Lyapunov function that is directly based on energy considerations of the power converter, as well as of the transmission line described by the telegraph equations. The proposed stabilizing switching control still allows a certain freedom in the choice of the control law, a comparison between a maximum descent strategy and a minimum commutation strategy being discussed on a simple example.

[1]  Arjan van der Schaft,et al.  Stabilization of port-controlled Hamiltonian systems via energy balancing , 1999 .

[2]  Jean Buisson,et al.  On the Stabilisation of Switching Electrical Power Converters , 2005, HSCC.

[3]  Jean Buisson,et al.  A GENERIC PASSIVITY BASED CONTROL FOR MULTICELLULAR SERIAL CONVERTERS , 2005 .

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

[5]  Alan S. Perelson,et al.  System Dynamics: A Unified Approach , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  J. Buisson,et al.  Analysis of the bond graph model of hybrid physical systems with ideal switches , 2002 .

[7]  Romeo Ortega,et al.  An energy-based derivation of lyapunov functions for forced systems with application to stabilizing control , 1999 .

[8]  Jan-Erik Strömberg,et al.  A Mode Switching Modelling Philosophy , 1994 .

[9]  Hebertt Sira-Ramírez,et al.  Sliding mode control of DC-to-DC power converters via extended linearization , 1994 .

[10]  M. Baja,et al.  Hybrid control of a three-level three-cell dc-dc converter , 2007, 2007 American Control Conference.

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

[12]  Romeo Ortega,et al.  A Hamiltonian viewpoint in the modeling of switching power converters , 1999, Autom..

[13]  Matthew Senesky,et al.  Hybrid Modelling and Control of Power Electronics , 2003, HSCC.

[14]  Manfred Morari,et al.  On the Optimal Control of Switch-Mode DC-DC Converters , 2004, HSCC.