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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Section: Chapter Questions
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5092d283-37fd-4762-962c-92db43347004%2F476a5f74-7027-484f-9128-b285b2de8a86%2Fge3mkt_processed.jpeg&w=3840&q=75)
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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