A buck converter has following specification -Vs - 24 V L - 200 - H- R - 20 -C - 1000- F- f - 10 kHz- D - 0-4 The value of average output voltage will be V- Answer up to three decimal places

Verifying the operation of dc dc buck converter for continuous mode or discontinuous mode nbsp; Assuming D_1 is time interval when inductor current falls D_ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Discontinuous Mode Analysis of Buck Regulator

A buck conver...

Question

A buck converter has following specification :

$V_{s} = 24 V$ $L = 200 μ H,$ $R = 20 Ω$
$C = 1000 μ F$ , $f = 10 k H z,$ D = 0.4

The value of average output voltage will be ___V. (Answer up to three decimal places)

Open in App

Solution

Verifying the operation of dc-dc buck converter for continuous mode or discontinuous mode

Assuming $D_{1}$ is time interval when inductor current falls

$D_{1} < 1$ ...(for continuous mode)

$D_{1} = \frac{- D + \sqrt{D^{2} + \frac{8 L}{R T}}}{2}$

$= \frac{1}{2} (- 0.4 + \sqrt{\frac{0.16 + 8 (2000) (10000) \times 10^{- 6}}{20}}) = 0.289 \approx 0.29$

As 0.29 < 1-0.4 $[D_{1} < 1 - D]$
0.29 < 0.6

Buck converter operates in discontinuous mode

$(V_{s} - V_{0}) D T_{s} + (- V_{0}) D_{1} T_{s} = 0$

$\frac{V_{0}}{V_{s}} = \frac{D}{D + D_{1}} = \frac{0.4}{0.4 + 0.29} = 0.579$

$V_{0} = 0.579 \times 24 = 13.913 V .$

Suggest Corrections

Similar questions

Q. A buck-boost converter has the following parameters:

V_{s}

= 28 V, D = 0.3, R = 5

Ω

,
L = 20

μ

H, C = 90

μ

F, f = 80 kHz
The output voltage of the converter and average current through inductor will be respectively

Q. A flyback converter has following parameters :

V_{s} = 24 V,

\frac{N_{1}}{N_{2}} = 3

C = 200 μ F

L_{m} = 500 μ H,

R = 5 Ω

f = 25 k H z .

The critical value of magnetizing inductor for output voltage of 10 V will be ___

μ H

Q. A buck-boost converter has following specifications:

V_{d} = 12 V, V_{0} = 15 V, I_{0} = 250 m A, L = 150 μ H, C = 470 μ F a n d f_{s} = 20 k H z

The value of

Δ V_{0}

(peak-to-peak) for the converter will be _______ mV (up to 2 decimal place).

Q. A buck converter has input voltage of 3.3 V and output voltage of 1.2 V. The converter feeds a communication system with a output of 6 A. The output voltage ripple must not exceed 2%. The value of inductor required such that the peak-to-peak variation in inductor current does not exceed 40 percent of average value will be _________

μ H

.
(Take switching frequency of the converter as 500 kHz)

Q. A 12- bit digital to analog converter has a step size of 10mV. The full scale output voltage is _____ V. (Answer upto 2 decimal places).

Join BYJU'S Learning Program

A buck converter has following specification : Vs=24V L=200 μH, R=20Ω C=1000μF, f=10 kHz, D = 0.4 The value of average output voltage will be ___V. (Answer up to three decimal places)

A buck converter has following specification :

$V_{s} = 24 V$ $L = 200 μ H,$ $R = 20 Ω$
$C = 1000 μ F$ , $f = 10 k H z,$ D = 0.4

The value of average output voltage will be ___V. (Answer up to three decimal places)