Question

Consider the buck-boost converter shown. Switch Q is operating at 25 kHz and 0.75 duty-cycle. Assume diode and switch to be ideal. Under steady-state condition, the average current flowing through the inductor is ______ A.

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Answer :

24

Given:

Let's consider,

V0 = Load voltage

I0 = Load current

Vdc = Supply voltage

Duty cycle = D

Duty cycle (D) = 0.75

V 0 = V d c [ D 1 D ] = 20 [ 0.75 1 0.75 ] = 60 V

I 0 = V 0 R = 60 10 = 6 A

( I L ) a v g = I 0 1 D = 6 1 0.75 = 24 A

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