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I. A converter with ideal components is illustrated in figure and the converter works under CCM. (a) Please find the dependence of the equilibrium output voltage V and inductor current In on the duty ratio D, input voltage Vg and load resistance R. You can assume that the inductor current ripple and capacitor voltage ripple are small. (b) Derive analytical expressions for peak ripple of inductor current and capacitor voltage. Plot IL, IQ and ID (c) Design for the specifications: Vg-36V, V 24V, R=2.4 2,f=100kHz. 1) Find D and IL 2) Calculate the value of L that will make the peek inductor current ripple A iL is five percent of the average inductor current IL. 3) Choose C such the peak output voltage ripple A v is 0.1V. 2₁ T D₁ L C R≤ V

I. A converter with ideal components is illustrated in figure and the converter works under CCM. (a) Please find the dependence of the equilibrium output voltage V and inductor current In on the duty ratio D, input voltage Vg and load resistance R. You can assume that the inductor current ripple and capacitor voltage ripple are small. (b) Derive analytical expressions for peak ripple of inductor current and capacitor voltage. Plot IL, IQ and ID (c) Design for the specifications: Vg-36V, V 24V, R=2.4 2,f=100kHz. 1) Find D and IL 2) Calculate the value of L that will make the peek inductor current ripple A iL is five percent of the average inductor current IL. 3) Choose C such the peak output voltage ripple A v is 0.1V. 2₁ T D₁ L C R≤ V

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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I、 A converter with ideal components is illustrated in figure and the converter works under CCM. (a) Please find the dependence of the equilibrium output voltage V and inductor current It on the duty ratio D, input voltage Vg and load resistance R. You can assume that the inductor current ripple and capacitor voltage ripple are small. (b) Derive analytical expressions for peak ripple of inductor current and capacitor voltage. Plot IL, IQ and ID (c) Design for the specifications: Vg-36V, V=24V, R=2.49,f=100kHz. 1) Find D and IL 2) Calculate the value of L that will make the peek inductor current ripple A iL is five percent of the average inductor current IL. 3) Choose C such the peak output voltage ripple A v is 0.1V. Q₁ D₁ + L R V
Transcribed Image Text:I、 A converter with ideal components is illustrated in figure and the converter works under CCM. (a) Please find the dependence of the equilibrium output voltage V and inductor current It on the duty ratio D, input voltage Vg and load resistance R. You can assume that the inductor current ripple and capacitor voltage ripple are small. (b) Derive analytical expressions for peak ripple of inductor current and capacitor voltage. Plot IL, IQ and ID (c) Design for the specifications: Vg-36V, V=24V, R=2.49,f=100kHz. 1) Find D and IL 2) Calculate the value of L that will make the peek inductor current ripple A iL is five percent of the average inductor current IL. 3) Choose C such the peak output voltage ripple A v is 0.1V. Q₁ D₁ + L R V
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