GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 44 of 65

Marks: +1, -0

A DC-DC buck converter operates in continuous conduction mode. It has

48 {V}

input voltage and it feeds a resistive load of

24 Ω

. The switching frequency of the converter is

250 {Hz}

. If switch-on duration is

1 {ms}

, the load power is

Solution:

DC-DC buck converter

{V}_{ {s}}=48 {V}

{R}=24 Ω

{f}_{ {s}}=250 {Hz}

{T}_{ {ON}}= {DT}=1 {ms}

Time period (T)

=\;{1}/{ {f}_{ {s}}}=\;{1}/{250}=4 {ms}

duty cycle (D)

=\;{T_{ {ON}}}/{T}=\;{1}/{4}

output voltage

( {V}_{0})= {DV}_{ {s}}=\;{1}/{4} × 48=12 {V}

output current

( {I}_{0})=\;{ {V}_{0}}/{ {R}}=\;{12}/{24}=\;{1}/{2}=0.5 {A}

power

=V_{0} I_{0}=12 × 0.5=6 {watts}

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