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A Buck converter has the following parameters and is operating in CCM: Vin = 12V, Vout =1.8V, L,=530nH, C,= 970 uF, ESR (Co)=5 mohm, switching frequency = 600KHZ, Io = 12A Calculate : (1) The steady state duty cycle D (2) Draw the average model for the power stage (3) Draw the small signal model for the power stage

A Buck converter has the following parameters and is operating in CCM: Vin = 12V, Vout =1.8V, L,=530nH, C,= 970 uF, ESR (Co)=5 mohm, switching frequency = 600KHZ, Io = 12A Calculate : (1) The steady state duty cycle D (2) Draw the average model for the power stage (3) Draw the small signal model for the power stage

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A Buck converter has the following parameters and is operating in CCM: Vin = 12V, Vout =1.8V, L,=530NH, C,= 970 uF, ESR (Co)=5 mohm, switching frequency = 600KHZ, Io = 12A Calculate : (1) The steady state duty cycle D (2) Draw the average model for the power stage (3) Draw the small signal model for the power stage (4) Calculate the small signal gain of our (t) at DC in dB d(t) (5) Calculate the complex poles and zero frequencies of the power stage Vou (t) (6) Draw the Bode Plot of from 1Hz to 10MHZ with gain and phase (1) p Vou (t) (7) Do the Bode Plot of from 1Hz to 10MHZ with Pspice. d(t) (8) Compare the result from (6) and (7), and explain if there is any discrepancy (9) How to select the crossover frequency for the closed loop (10) Based on the crossover frequency you selected in (7), design a compensator to achieve at least 60°phase margin. Please explain how to select the poles and zeros with the compensator design. Assume Gpwm = 1. %3D (11) Draw the Bode Plot of from 1Hz to 10MHZ with gain and phase. out (12) Repeat (11) with Pspice. (13) Compare the result from (11) and (12) and explain if there is any discrepancy.
Transcribed Image Text:A Buck converter has the following parameters and is operating in CCM: Vin = 12V, Vout =1.8V, L,=530NH, C,= 970 uF, ESR (Co)=5 mohm, switching frequency = 600KHZ, Io = 12A Calculate : (1) The steady state duty cycle D (2) Draw the average model for the power stage (3) Draw the small signal model for the power stage (4) Calculate the small signal gain of our (t) at DC in dB d(t) (5) Calculate the complex poles and zero frequencies of the power stage Vou (t) (6) Draw the Bode Plot of from 1Hz to 10MHZ with gain and phase (1) p Vou (t) (7) Do the Bode Plot of from 1Hz to 10MHZ with Pspice. d(t) (8) Compare the result from (6) and (7), and explain if there is any discrepancy (9) How to select the crossover frequency for the closed loop (10) Based on the crossover frequency you selected in (7), design a compensator to achieve at least 60°phase margin. Please explain how to select the poles and zeros with the compensator design. Assume Gpwm = 1. %3D (11) Draw the Bode Plot of from 1Hz to 10MHZ with gain and phase. out (12) Repeat (11) with Pspice. (13) Compare the result from (11) and (12) and explain if there is any discrepancy.
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