Estimation of the bifurcation point of a modulated-hysteresis current-controlled DC–DC boost converter: stability analysis and experimental verification

It is known that power electronic circuits such as DC–DC converters are rich in non-linear phenomena. It is often necessary to determine when the system becomes unstable. The authors investigate a continuous-time averaging model for a modulated-hysteresis current controller. This model is applied to a boost converter working in continuous conduction mode to estimate the bifurcation point and to study the stability of the controlled system. This controller ensures a fixed-switching frequency, a zero static error and high robustness properties of the system parameter variations. Simulation and experimental results are presented to validate the proposed approach.

[1]  Yu-Cheng Lin,et al.  Stability issues and modelling of ripple-based constant on-time control schemes operating in discontinuous conduction mode , 2014 .

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

[3]  Uma Govindarajan,et al.  Coexistence of fast-scale and slow-scale instability in CUK power factor correction AC-DC pre-regulators under non-linear current-mode control , 2013 .

[4]  G. Uma,et al.  Experimental verification of Hopf bifurcation in pulse-width modulated inverter fed cage induction motor drive system , 2014 .

[5]  C. Tse,et al.  Study of low-frequency bifurcation phenomena of a parallel-connected boost converter system via simple averaged models , 2003 .

[6]  Ka Wai Eric Cheng,et al.  Examination of bifurcation of the non-linear dynamics in buck-boost converters with input capacitor rectifier , 2011 .

[7]  J. A. Morales-Saldana,et al.  Parameters selection criteria of proportional-integral controller for a quadratic buck converter , 2014 .

[8]  Dushan Boroyevich,et al.  An investigation into the fast- and slow-scale instabilities of a single phase bidirectional boost converter , 2003 .

[9]  G. Uma,et al.  Analysis and experimental verification of Hopf bifurcation in a solar photovoltaic powered hysteresis current-controlled cascaded-boost converter , 2013 .

[10]  J. Miret,et al.  Simple Low-Cost Hysteretic Controller for Single-Phase Synchronous Buck Converters , 2007, IEEE Transactions on Power Electronics.

[11]  S. Pierfederici,et al.  New Method to Filter HF Current Ripples Generated by Current-Fed DC/DC Converters , 2011, IEEE Transactions on Power Electronics.

[12]  Soumitro Banerjee,et al.  Nonlinear modeling and bifurcations in the boost converter , 1998 .

[13]  Zhong Liu,et al.  Unified Classification of Operation-State Regions for Switching Converters with Ramp Compensation , 2011, IEEE Transactions on Power Electronics.

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

[15]  Hao Zhang,et al.  Analysis of Slow-Scale Instability in Boost PFC Converter Using the Method of Harmonic Balance and Floquet Theory , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[16]  Bhim Singh,et al.  Buck converter-based power supply design for low power light emitting diode lamp lighting , 2014 .

[17]  Damian Giaouris,et al.  Complex Interaction Between Tori and Onset of Three-Frequency Quasi-Periodicity in a Current Mode Controlled Boost Converter , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  G. Uma,et al.  Comparative study between peak current mode and hysteretic current mode control of a single-ended primary inductance converter , 2012 .

[19]  Weifeng Sun,et al.  Transient response optimisation for peak current mode buck converter in the application of dynamic voltage scaling , 2014 .

[20]  William C. Y. Chan,et al.  Study of bifurcations in current-programmed DC/DC boost converters: from quasiperiodicity to period-doubling , 1997 .

[21]  Giuseppe Grassi,et al.  Bifurcation Analysis and Chaotic Behavior in Boost Converters: Experimental Results , 2006 .

[22]  C. K. Michael Tse,et al.  Sustained Slow-Scale Oscillation in Higher Order Current-Mode Controlled Converter , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[23]  C. Tse.  Flip bifurcation and chaos in three-state boost switching regulators , 1994 .

[24]  Donald Grahame Holmes,et al.  A Novel Three-Level Hysteresis Current Regulation Strategy for Three-Phase Three-Level Inverters , 2014, IEEE Transactions on Power Electronics.

[25]  Jean-Philippe Martin,et al.  Predicting the onset of bifurcation and stability study of a hybrid current controller for a boost converter , 2013, Math. Comput. Simul..

[26]  Chok You Chan.  Investigation of voltage-mode controller for cascade boost converter , 2014 .

[27]  O. Trescases,et al.  Analysis and Comparison of Frequency Stabilization Loops in Self-Oscillating Current Mode DC–DC Converters , 2013, IEEE Transactions on Power Electronics.

[28]  O. Garcia,et al.  Hysteretic Mixed-Signal Controller for High-Frequency DC–DC Converters Operating at Constant Switching Frequency , 2012, IEEE Transactions on Power Electronics.

[29]  T. S. Radwan,et al.  Analysis of current controllers for voltage-source inverter , 1997, IEEE Trans. Ind. Electron..

[30]  S. Pierfederici,et al.  Study of an Hybrid Current Controller Suitable for DC–DC or DC–AC Applications , 2007, IEEE Transactions on Power Electronics.

[31]  Eduard Alarcón,et al.  A Design-Oriented Combined Approach for Bifurcation Prediction in Switched-Mode Power Converters , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[32]  Pekik Argo Dahono,et al.  New hysteresis current controller for single-phase full-bridge inverters , 2009 .

[33]  Herbert H. C. Iu,et al.  Control of a PWM inverter Using Proportional Plus Extended Time-Delayed Feedback , 2006, Int. J. Bifurc. Chaos.

[34]  Javier Calvente,et al.  Dynamics and Stability Issues of a Single-Inductor Dual-Switching DC–DC Converter , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[35]  Xiangning He,et al.  Asymmetry Three-Level Gird-Connected Current Hysteresis Control With Varying Bus Voltage and Virtual Oversample Method , 2014, IEEE Transactions on Power Electronics.

[36]  B. Nahid-Mobarakeh,et al.  DC Power Networks With Very Low Capacitances for Transportation Systems: Dynamic Behavior Analysis , 2012, IEEE Transactions on Power Electronics.

[37]  G. Uma,et al.  Analysis of fast-scale instability in a power factor correction Cuk converter , 2012 .

[38]  Germain Garcia,et al.  Control of a three-phase AC/DC VIENNA converter based on the sliding mode loss-free resistor approach , 2014 .

[39]  Parvathyshankar Deivasundari,et al.  Chaotic dynamics of a zero average dynamics controlled DC-DC Cuk converter , 2014 .

[40]  Chi-Seng Lam,et al.  Hysteresis current control of hybrid active power filters , 2012 .