For a fixed duty cycle D03 and fixed output voltage Vo 24V

For a fixed duty cycle D-0.3 and fixed output voltage V_o = 24V, which circuit requires the largest input voltage? (1p) Buck Boost Buck-Boost Flyback circuit You are provided with a DC source, which can deliver the maximum power at the operating point V_in = 32 V, I_in = 4A. To deliver this maximum power to a 100 Ohm resistor, you connect a boost converter between the source and the resistor. What duty cycle D will achieve this objective for this boost converter? 0.72 0.4 0.5 0.6

Solution

Here ratio is given 1:1., I.e input and output voltage are equeal but duty ratio is 0.3..,

So that boost converter is required

.,

V=32 I=4., max power deliver to 100 ohm resistor is v2/(4r)=2.56w Totle power devoleped =2.56+2.56=5.12

input voltage=5.12/4=1.28v

Duty cycle that implies

(1-d)=1.28/32=0.04

D=0.72