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Nomenclature: S: Switch Vin: Input Voltage C: Capacitor L: Inductor Vo: Output Voltage va: Diode Voltage d: Diode VL: Inductor Voltage IL: Inductor Current Io: Current through the Load vc: Capacitor Voltage is: Switch Current fs: Switching Frequency Po: Load Power D: Duty ratio [Hint: Some of the problems require understanding discontinuous conduction. Study the Chapter 7 of textbook, especially Sections 7-3-7-5 including examples. You may use the graphs illustrating the boundary conditions of dc-dc converters but state the assumptions made in your explanation in your solutions.] Problem 1: (20 points) In the buck converter, the peak-to-peak ripple in the inductor current is 1 A when the duty ratio is 0.66 and switching frequency fs = 25 kHz. Assume that Vin = 20 V, RLoad = 20, C = 1000 μF, and answer the following questions: A. (2 points) Draw a circuit schematic with all essential labels marked. B. (4 points) Determine the value of L. C. (2 points) Calculate the average values of input and diode currents, i.e., lin and Id D. (3 points) Compute the average current through inductor / E. (3 points) Determine the maximum voltage across the switch and the diode F. (2 points) Calculate the peak-to-peak voltage ripple in the output, AV,p-p G. (4 points) Sketch the waveforms of Switch Status (logic), i, iin, id, and vd.

Nomenclature: S: Switch Vin: Input Voltage C: Capacitor L: Inductor Vo: Output Voltage va: Diode Voltage d: Diode VL: Inductor Voltage IL: Inductor Current Io: Current through the Load vc: Capacitor Voltage is: Switch Current fs: Switching Frequency Po: Load Power D: Duty ratio [Hint: Some of the problems require understanding discontinuous conduction. Study the Chapter 7 of textbook, especially Sections 7-3-7-5 including examples. You may use the graphs illustrating the boundary conditions of dc-dc converters but state the assumptions made in your explanation in your solutions.] Problem 1: (20 points) In the buck converter, the peak-to-peak ripple in the inductor current is 1 A when the duty ratio is 0.66 and switching frequency fs = 25 kHz. Assume that Vin = 20 V, RLoad = 20, C = 1000 μF, and answer the following questions: A. (2 points) Draw a circuit schematic with all essential labels marked. B. (4 points) Determine the value of L. C. (2 points) Calculate the average values of input and diode currents, i.e., lin and Id D. (3 points) Compute the average current through inductor / E. (3 points) Determine the maximum voltage across the switch and the diode F. (2 points) Calculate the peak-to-peak voltage ripple in the output, AV,p-p G. (4 points) Sketch the waveforms of Switch Status (logic), i, iin, id, and vd.

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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Nomenclature: S: Switch Vin: Input Voltage C: Capacitor L: Inductor Vo: Output Voltage va: Diode Voltage d: Diode VL: Inductor Voltage IL: Inductor Current Io: Current through the Load vc: Capacitor Voltage is: Switch Current fs: Switching Frequency Po: Load Power D: Duty ratio [Hint: Some of the problems require understanding discontinuous conduction. Study the Chapter 7 of textbook, especially Sections 7-3-7-5 including examples. You may use the graphs illustrating the boundary conditions of dc-dc converters but state the assumptions made in your explanation in your solutions.] Problem 1: (20 points) In the buck converter, the peak-to-peak ripple in the inductor current is 1 A when the duty ratio is 0.66 and switching frequency fs = 25 kHz. Assume that Vin = 20 V, RLoad = 20, C = 1000 μF, and answer the following questions: A. (2 points) Draw a circuit schematic with all essential labels marked. B. (4 points) Determine the value of L. C. (2 points) Calculate the average values of input and diode currents, i.e., lin and Id D. (3 points) Compute the average current through inductor / E. (3 points) Determine the maximum voltage across the switch and the diode F. (2 points) Calculate the peak-to-peak voltage ripple in the output, AV,p-p G. (4 points) Sketch the waveforms of Switch Status (logic), i, iin, id, and vd.
Transcribed Image Text:Nomenclature: S: Switch Vin: Input Voltage C: Capacitor L: Inductor Vo: Output Voltage va: Diode Voltage d: Diode VL: Inductor Voltage IL: Inductor Current Io: Current through the Load vc: Capacitor Voltage is: Switch Current fs: Switching Frequency Po: Load Power D: Duty ratio [Hint: Some of the problems require understanding discontinuous conduction. Study the Chapter 7 of textbook, especially Sections 7-3-7-5 including examples. You may use the graphs illustrating the boundary conditions of dc-dc converters but state the assumptions made in your explanation in your solutions.] Problem 1: (20 points) In the buck converter, the peak-to-peak ripple in the inductor current is 1 A when the duty ratio is 0.66 and switching frequency fs = 25 kHz. Assume that Vin = 20 V, RLoad = 20, C = 1000 μF, and answer the following questions: A. (2 points) Draw a circuit schematic with all essential labels marked. B. (4 points) Determine the value of L. C. (2 points) Calculate the average values of input and diode currents, i.e., lin and Id D. (3 points) Compute the average current through inductor / E. (3 points) Determine the maximum voltage across the switch and the diode F. (2 points) Calculate the peak-to-peak voltage ripple in the output, AV,p-p G. (4 points) Sketch the waveforms of Switch Status (logic), i, iin, id, and vd.
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