GATE Electrical Engineering (EE) 2021 Solved Papers

Question : 51 of 65

Marks: +1, -0

Consider the boost converter shown. Switch

Q

is operating at

25 {kHz}

with a duty cycle of

0.6

. Assume the diode and switch to be ideal. Under steady-state condition, the average resistance

R_{\;\text "in "\;}

as seen by the source is ______________

Ω

. (Round off to 2 decimal places.)

Solution:

{V}_{0}=\;{ {V}_{ {s}}}/{1-α}

{V}_{0}=(1-α) {I}_{ {s}}

{R}_{0}=\;{ {R}_{ {in}}}/{(1-α)^{2}}

{R}_{ {in}}=(1-α)^{2} {R}_{ {o}}

{R}_{ {in}}=(1-0.6)^{2} × 10

\;\; =(1-0.6)^{2} × 10

\;\; =1.6 Ω

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