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In the dc-dc buck converter shown in the figure, Vin= 100 V and L = 0.5 mH. The duty cycle of the controllable switch (S) is 50% and its switching frequency is 10 kHz. The average value of the load current is 2 A. Assume that all the components are ideal, and the capacitor and inductor are operating in steady state. Determine (i) the average output voltage. (ii) the respective time durations for which switch S and diode D conduct in each full cycle.

In the dc-dc buck converter shown in the figure, Vin= 100 V and L = 0.5 mH. The duty cycle of the controllable switch (S) is 50% and its switching frequency is 10 kHz. The average value of the load current is 2 A. Assume that all the components are ideal, and the capacitor and inductor are operating in steady state. Determine (i) the average output voltage. (ii) the respective time durations for which switch S and diode D conduct in each full cycle.

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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Course Number: Chapter Number: Name: In the dc-dc buck converter shown in the figure, Vin = 100 V and L = 0.5 mH. The duty cycle of the controllable switch (S) is 50% and its switching frequency is 10 kHz. The average value of the load current is 2 A. Assume that all the components are ideal, and the capacitor and inductor are operating in steady state. Determine (i) the average output voltage. (ii) the respective time durations for which switch S and diode D conduct in each full cycle. ·0000 S to 0.5mH + 100V R≤Vo + DA 500 µF- Figure 1: Buck converter Page Numbers
Transcribed Image Text:Course Number: Chapter Number: Name: In the dc-dc buck converter shown in the figure, Vin = 100 V and L = 0.5 mH. The duty cycle of the controllable switch (S) is 50% and its switching frequency is 10 kHz. The average value of the load current is 2 A. Assume that all the components are ideal, and the capacitor and inductor are operating in steady state. Determine (i) the average output voltage. (ii) the respective time durations for which switch S and diode D conduct in each full cycle. ·0000 S to 0.5mH + 100V R≤Vo + DA 500 µF- Figure 1: Buck converter Page Numbers
Course Number: Buck Converter Chapter Number: Name: Buck Converter equations, Average inductor current V R Maximum inductor current = V₂ - max R 2Lf Mimimum inductor current = V 1 1-D OR 2Lf Inductor current ripple A₁ = maxmin Mimimum inductor value L = (1-D)R 2f min Figure 1: Buck (dc to dc converter) Remember to look for Buck converter simulation on Matlab in the internet Online Google search Buck Converter specifications, Simulator parameters V = 120V m f = 20kHz R = 20ohm L = 0.02H D = C 0.0001F Theoretical calculation Simulation recorded value Duty Cycle V = V₂D Voltage ripple AV 1-D V₂ 8LCf 0 = Page Numbers
Transcribed Image Text:Course Number: Buck Converter Chapter Number: Name: Buck Converter equations, Average inductor current V R Maximum inductor current = V₂ - max R 2Lf Mimimum inductor current = V 1 1-D OR 2Lf Inductor current ripple A₁ = maxmin Mimimum inductor value L = (1-D)R 2f min Figure 1: Buck (dc to dc converter) Remember to look for Buck converter simulation on Matlab in the internet Online Google search Buck Converter specifications, Simulator parameters V = 120V m f = 20kHz R = 20ohm L = 0.02H D = C 0.0001F Theoretical calculation Simulation recorded value Duty Cycle V = V₂D Voltage ripple AV 1-D V₂ 8LCf 0 = Page Numbers
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