A step down DC chopper as shown in figure has a resistive load of R- 15- and input voltage of 200 V- Voltage drop of chopper is 2-5 V and chopper frequency is 1 kHz- If the duty cycle is 50

Rms current, I_0r=√(α)(V_s V_d)R =√(0.5)(200 2.5)15 I_0r= 9.31 A Output power, P_o=I_0r^2× R = 9.31^2×15= 1300.14 Input power P_f=1T∫_0^TV_si_sdt =1T∑_0^α T(V_c ...

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

Byju's Answer

Other

Discontinuous Mode Analysis of Buck Regulator

A step down D...

Question

A step down DC chopper as shown in figure has a resistive load of $R = 15 Ω$ and input voltage of 200 V. Voltage drop of chopper is 2.5 V and chopper frequency is 1 kHz. If the duty cycle is 50%, then the chopper efficiency is

98.74%

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

49.37%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

95%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

69.83%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 98.74%
Rms current, $I_{0 r} = \frac{\sqrt{α} (V_{s} - V_{d})}{R}$
= $\frac{\sqrt{0.5} (200 - 2.5)}{15}$
$I_{0 r} = 9.31 A$
Output power, $P_{o} = I_{0 r}^{2} \times R$
$= {9.31}^{2} \times 15 = 1300.14$
Input power $P_{f} = \frac{1}{T} \int_{0}^{T} V_{s} i_{s} d t$
$= \frac{1}{T} \sum_{0}^{α T} \frac{(V_{c} - V_{d}) α T}{T \times R}$
$= \frac{V_{s} (V_{s} - V_{d}) α T}{T} \times R$
$P_{i} = \frac{0.5 \times 200 \times (200 - 2.5)}{15}$
$P_{i} = 1316.67 W$
Efficiency, $% η = \frac{P_{0}}{P_{i}} \times 100$
$= \frac{1300.14}{1316.67} \times 100$
$= 98.74 %$

Suggest Corrections

Similar questions

Q. A dc-dc buck converter has input voltage of

400 V

and a load in form of resistor

R = 40 Ω

is connected accordingly. The switching frequency of converter is

2 k H z

and the converter switch has voltage drop of

2 V

. When switch is conducting and duty cycle is

0.5

, then value of chopper efficiency will be

Q. Figure shows a chopper operating from a 150 V dc input, the duty ratio of switch S is 0.4. The average output voltage of the chopper will be

Q. A type-A chopper is fed from a 200 V dc source. The chopper is connected to load RLE with R = 0, L = 2.5 mH and constant E, for a duty cycle of 0.25. The chopping frequency to limit the amplitude of load current to 8A is ______ kHz.

Q. A step up chopper is used to deliver 3 A to the

10 Ω

load. The input battery voltage is

12 V, L = 20 μ H, C = 100 μ H

and the chopper frequency is 50 kHz. The minimum battery current required is

Q. A type A chopper has input dc voltage of 200 V and a load of R = 10

Ω

in series with L = 80 mH. If the load current varies linearly between 12 A and 16 A, the time ratio

T_{o n} / T_{o f f}

for this chopper is

Join BYJU'S Learning Program

A step down DC chopper as shown in figure has a resistive load of R=15Ω and input voltage of 200 V. Voltage drop of chopper is 2.5 V and chopper frequency is 1 kHz. If the duty cycle is 50%, then the chopper efficiency is

A step down DC chopper as shown in figure has a resistive load of $R = 15 Ω$ and input voltage of 200 V. Voltage drop of chopper is 2.5 V and chopper frequency is 1 kHz. If the duty cycle is 50%, then the chopper efficiency is