Q3. a) Design a DC/DC buck converter as shown in Figure Q3. has an input voltage of 12V and an output of 5V at 20A. Assume a switching frequency of 10kHz. Constrain the inductor ripple current to 10% of the input current and limit the output voltage ripple to 50mVp-p. i) Calculate the boundary duty cycle. Show whether the circuit is in continuous conduction mode or not and why? ii) How should the duty cycle be controlled so that the output voltage is 5V for loads between 0 and 2A? Vin DZ L Ω R Figure Q3. DC/DC buck converter.

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Q3. a) Design a DC/DC buck converter as shown in Figure Q3. has an input
voltage of 12V and an output of 5V at 20A. Assume a switching frequency
of 10kHz. Constrain the inductor ripple current to 10% of the input current
and limit the output voltage ripple to 50mVp-p.
i)
Calculate the boundary duty cycle. Show whether the circuit is in
continuous conduction mode or not and why?
ii)
How should the duty cycle be controlled so that the output voltage is
5V for loads between 0 and 2A?
Vin
DZ
L
Ω
R
Figure Q3. DC/DC buck converter.
Transcribed Image Text:Q3. a) Design a DC/DC buck converter as shown in Figure Q3. has an input voltage of 12V and an output of 5V at 20A. Assume a switching frequency of 10kHz. Constrain the inductor ripple current to 10% of the input current and limit the output voltage ripple to 50mVp-p. i) Calculate the boundary duty cycle. Show whether the circuit is in continuous conduction mode or not and why? ii) How should the duty cycle be controlled so that the output voltage is 5V for loads between 0 and 2A? Vin DZ L Ω R Figure Q3. DC/DC buck converter.
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