Small-signal model of PWM converters for discontinuous conduction mode and its application for boost converter

A small-signal circuit model for pulsewidth-modulated DC-DC converters operated in discontinuous conduction mode is presented. The model is composed of controlled current sources, an independent voltage source and resistances. The principle of energy conservation approach is used to take into account parasitic resistances of the transistor and diode and the diode threshold voltage. The proposed model is suitable for small-signal, frequency-domain representation of the converters. This model is used to derive the expressions for a boost converter control-to-output transfer function, input-to-output voltage transfer function, input impedance and the output impedance. Bode plots are also given for these transfer functions. The predicted and experimental results were in excellent agreement.

[1]  Marian K. Kazimierczuk,et al.  Closed-Loop Characteristics of voltage-Mode-Controlled PWM Boost DC-DC converter with an integral-lead Controller , 1994, J. Circuits Syst. Comput..

[2]  M. Clique,et al.  A general linear continuous model for design of power conditioning units at fixed and free running frequency , 1977, 1977 IEEE Power Electronics Specialists Conference.

[3]  Alberto Reatti,et al.  Frequency domain analysis of DC-DC converters using a symbolic approach , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[4]  Marian K. Kazimierczuk,et al.  Closed-loop input impedance of PWM buck-derived DC-DC converters , 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

[5]  Sam Ben-Yaakov Average simulation of PWM converters by direct implementation of behavioural relationships , 1994 .

[6]  Marian K. Kazimierczuk,et al.  Small-signal analysts of a PWM boost DC-DC converter with a non-symmetric phase integral-lead controller , 1995, Proceedings of INTELEC 95. 17th International Telecommunications Energy Conference.

[7]  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.

[8]  Sam Ben-Yaakov,et al.  A unified SPICE compatible average model of PWM converters , 1991 .

[9]  Alberto Reatti Steady-state analysis including parasitic components and switching losses of buck and boost DC-DC PWM converters under any operating condition , 1994 .

[10]  Slobodan Cuk,et al.  A general unified approach to modelling switching DC-tO-DC converters in discontinuous conduction mode , 1977, 1977 IEEE Power Electronics Specialists Conference.

[11]  Marian K. Kazimierczuk,et al.  Open loop small-signal control-to-output transfer function of PWM buck converter for CCM: modeling and measurements , 1996, Proceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications (MELECON 96).

[12]  S. Ben-Yaakov,et al.  Average modeling and simulation of series-parallel resonant converters by SPICE compatible behavioral dependent sources , 1996, Proceedings of Applied Power Electronics Conference. APEC '96.

[13]  Jian Sun,et al.  Averaged modeling of PWM converters operating in discontinuous conduction mode , 2001 .

[14]  Vatche Vorperian,et al.  Generation, Classification and Analysis of Switched-Mode DC-to-DC Converters by the Use of Converter Cells , 1986, INTELEC '86 - International Telecommunications Energy Conference.

[15]  P. R. K. Chetty Current Injected Equivalent Circuit Approach to Modeling of Switching DC-DC Converters in Discontinuous Inductor Conduction Mode , 1982, IEEE Transactions on Industrial Electronics.

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

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

[18]  R. Redl,et al.  Dynamic analysis of switching-mode DC/DC converters , 1991 .

[19]  Dragan Maksimovic,et al.  A unified analysis of PWM converters in discontinuous modes , 1991 .