Stability Analysis of PWM-Controlled Dual Channel Resonant Buck&Boost Converter Using PI Controller

The paper is concerned with the stability analysis of a feedback controlled resonant dual channel buck&boost converter. The output voltage is controlled by using constant frequency PWM and PI controller. The analysis is based on the eigenvalues of the Jacobian matrix of the Poincaré Map Function (PMF). After small perturbation determining the deviations of the state variables from the periodic trajectory, the Jacobian matrix is calculated without the need to determine the PMF itself. The introduction of the so-called auxiliary state vector greatly facilitates the calculation. Calculation and simulation results included helps the design of the control loop.

[1]  Y. Gao.  Chaotification of Induction Motor Drives under Periodic Speed Command , 2003 .

[2]  Hirohito Funato,et al.  Stability analysis of nonlinear power electronic systems utilizing periodicity and introducing auxiliary state vector , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  L. Benadero,et al.  Investigating stability of a single inductor current mode controlled dual switching DC-DC converter , 2005, 2005 European Conference on Power Electronics and Applications.

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

[5]  A. L. Baranovski,et al.  Bifurcation and statistical analysis of DC-DC converters , 2003 .

[6]  J. Hamar,et al.  Dual Channel Resonant DC-DC Converter Family , 2007 .

[7]  H. H. C. Iu,et al.  Bifurcation behavior in parallel-connected buck converters , 2001 .

[8]  Boguslaw Grzesik,et al.  Model of commutation for power electronic converter , 2003 .

[9]  Luis Martinez-Salamero,et al.  Analysis and design of H/sub /spl infin// control of nonminimum phase-switching converters , 2003 .

[10]  K. T. Chau,et al.  Subharmonics and Chaos in Switched Reluctance Motor Drives , 2002, IEEE Power Engineering Review.

[11]  I. Nagy,et al.  Stability analysis of PWM-controlled dual channel resonant buck converter using PI controller , 2006, International Symposium on Power Electronics, Electrical Drives, Automation and Motion, 2006. SPEEDAM 2006..

[12]  B. G. M. Robert,et al.  Border collision bifurcations in a one-dimensional piecewise smooth map for a PWM current-programmed H-bridge inverter , 2002 .

[13]  Teuvo Suntio,et al.  Effect of output current feedback on converter dynamics , 2003 .

[14]  Tamotsu Ninomiya,et al.  Nonlinear dynamics of power-factor-correction converter , 2003, IEEE Trans. Ind. Electron..

[15]  K. Gopakumar,et al.  Three-level inverter configuration cascading two two-level inverters , 2003 .