Q3] For a buck-boost dc-dc converter, show with the help of suitable sketches that with continuous conduction of inductor current: a) and Where are the dc levels of the output and input currents, respectively, and D is the duty-cycle of switching frequency. Assume that all devices and circuit elements are ideal. b) If the output voltage of the above buck-boost converter is maintained at , while the input voltage varies in the range of . The switching frequency of the converter is and the capacitor .i) Find the duty cycle D, if the inductance the input dc voltage, , and the output current . Q2] A boost dc-dc converter has a forward voltage drop on its diode of 0.7 V. Its switchingMOSFET has a resistance of 0.1 ohms when conducting. If the input voltage is 5 V, theaverage input current is 3.2 Amps, and its duty cycle is 0.4, find the converter's conductionlosses in watts. There are conduction losses in both the switching MOSFET and the diode.Q3] For a buck-boost dc-dc converter, show with the help of suitable sketches that withcontinuous conduction of inductor current:V.a)V dcI.andIdeD1-D= -1-DwwwwDWhere I. and I dc are the de levels of the output and input currents, respectively, and D isthe duty-cycle of switching frequency. Assume that all devices and circuit elements are ideal.b) If the output voltage V. of the above buck-boost converter is maintained at – 15 V, whilethe input voltage Vde varies in the range of 22 – 58 V. The switching frequency fs of theconverter is 40 kHz and the capacitor C = 400 µF .i) Find the duty cycle D, if the inductance L = 50 µH, the input dc voltage, Vde = 42 V, andthe output current I. = 2. 5 A.ii) Compute the power delivered to a resistive load of R = 50 N.

Circuit diagram of Boost DC-DC Converter: duty cycle, α=0.4 V0=11-αVs-0.7V0=11-0.45-0.7V0=7.16 VBy…

Answered: Q2] A boost dc-dc converter has a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Q3] For a buck-boost dc-dc converter, show with the help of suitable sketches that with continuous conduction of inductor current:

a) and

Where are the dc levels of the output and input currents, respectively, and D is the duty-cycle of switching frequency. Assume that all devices and circuit elements are ideal.

b) If the output voltage of the above buck-boost converter is maintained at , while the input voltage varies in the range of . The switching frequency of the converter is and the capacitor .
i) Find the duty cycle D, if the inductance the input dc voltage, , and the output current .

Q2] A boost dc-dc converter has a forward voltage drop on its diode of 0.7 V. Its switching
MOSFET has a resistance of 0.1 ohms when conducting. If the input voltage is 5 V, the
average input current is 3.2 Amps, and its duty cycle is 0.4, find the converter's conduction
losses in watts. There are conduction losses in both the switching MOSFET and the diode.
Q3] For a buck-boost dc-dc converter, show with the help of suitable sketches that with
continuous conduction of inductor current:
V.
a)
V dc
I.
and
Ide
D
1-D
= -
1-D
wwww
D
Where I. and I dc are the de levels of the output and input currents, respectively, and D is
the duty-cycle of switching frequency. Assume that all devices and circuit elements are ideal.
b) If the output voltage V. of the above buck-boost converter is maintained at – 15 V, while
the input voltage Vde varies in the range of 22 – 58 V. The switching frequency fs of the
converter is 40 kHz and the capacitor C = 400 µF .
i) Find the duty cycle D, if the inductance L = 50 µH, the input dc voltage, Vde = 42 V, and
the output current I. = 2. 5 A.
ii) Compute the power delivered to a resistive load of R = 50 N.

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