Open-loop power-stage transfer functions relevant to current-mode control of boost PWM converter operating in CCM

This paper presents the analysis of open-loop power-stage dynamics relevant to current-mode control for a boost pulsewidth-modulated (PWM) dc-dc converter operating in continuous-conduction mode (CCM). The transfer functions from input voltage to inductor current, from duty cycle to inductor current, and from output current to inductor current are derived. The delay from the MOSFET gate drive to the duty cycle is modeled using a first-order Pade/spl acute/ approximation. The derivations are performed using an averaged linear small-signal circuit model of the boost converter for CCM. The transfer functions can be used in modeling the complete boost PWM converter when current-mode control is used. The theory was in excellent agreement with the experimental results, enforcing the validity of the transfer functions derived.

[1]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1976, 1970 IEEE Power Electronics Specialists Conference.

[2]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1977 .

[3]  R. D. Middlebrook,et al.  State-Space Average modelling of converters with parasitics and storage-time modulation , 1980, 1980 IEEE Power Electronics Specialists Conference.

[4]  R.D. Middlebrook,et al.  Topics in multiple-loop regulators and current-mode programming , 1985, 1985 IEEE Power Electronics Specialists Conference.

[5]  Rudolf P. Severns,et al.  Modern DC-to-DC switchmode power converter circuits , 1985 .

[6]  R. D. Middlebrook,et al.  Topics in Multiple-Loop Regulators and Current-Mode Programming , 1987, IEEE Transactions on Power Electronics.

[7]  G. Verghese,et al.  Averaged and sampled-data models for current mode control: a re-examination , 1989, 20th Annual IEEE Power Electronics Specialists Conference.

[8]  R. D. Middlebrook,et al.  Modeling current-programmed buck and boost regulators , 1989 .

[9]  V. Vorperian Simplified analysis of PWM converters using model of PWM switch. II. Discontinuous conduction mode , 1990 .

[10]  R. B. Ridley,et al.  A new, continuous-time model for current-mode control (power convertors) , 1991 .

[11]  R. Tymerski,et al.  State space models for current programmed pulse width modulated converters , 1992 .

[12]  Dariusz Czarkowski,et al.  Application of the principle of energy conservation to modeling the PWM converters , 1993, Proceedings of IEEE International Conference on Control and Applications.

[13]  Dariusz Czarkowski,et al.  Energy-conservation approach to modeling PWM DC-DC converters , 1993 .

[14]  S. Ben-Yaakov,et al.  Average models as tools for studying the dynamics of switch mode DC-DC converters , 1994, Proceedings of 1994 Power Electronics Specialist Conference - PESC'94.

[15]  F. D. Tan,et al.  A unified model for current-programmed converters , 1995 .

[16]  Henry Shu-Hung Chung,et al.  A systematic graphing technique for small-signal low-frequency characterization of PWM DC/DC converters , 2000, IEEE Trans. Ind. Electron..

[17]  A. J. Edstrom,et al.  Open-loop peak voltage feedforward control of PWM buck converter , 2000 .

[18]  M. Kazimierczuk Transfer function of current modulator in PWM converters with current-mode control , 2000 .

[19]  Marian K. Kazimierczuk,et al.  Small-signal duty cycle to inductor current transfer function for boost PWM DC-DC converter in continuous conduction mode , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[20]  Marian K. Kazimierczuk,et al.  Voltage-Loop Power-Stage Transfer Functions With MOSFET Delay for Boost PWM Converter Operating in CCM , 2007, IEEE Transactions on Industrial Electronics.