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RIC-TO2
Session 2014-15
CI ‘S.No.20-09-14
I CI
India’s Best Institute for IES, GATE & PSUs
RANKIMPROVEMENT COURSE
ELECTRICAL ENGINEERING
Test - 2 | Power Electronics
Duration : 2% Hours Maximum Marks : 150
Read the following instructions carefully
Sectlon-A : Objective Questions Section-B : Conventional Questions
Maximum Marka :80 © Tima: Hr Meximum Merks: 100 © Times: 1%Hrs.
No. of Negative || 1 Candidate should attempt any FOUR quetions ou of
uestions | TYPY | Maree | markcng Five,
T 2, Eachaueetion cares 35 mats,
at-to | Mca 10 0.33 || 3. Eachquestion may have two ar three sub cvslon.
4, The number of marks carta by each subalusion of a
an-so| mea 40 ase ‘questonis indicated athe end of the question
5,_Anowers must be writen only In INGLIS
Total Number of Questions : 30 Total Number of Quastiona :3 | ¢Alempt any FOUR]
Objective Questions must be answered on Objective Response Sheet (ORS) by darkening the appropriate
bubble (marked A, 8, C, D) using HB pencil against the question number. Each question has only one
correct answer, In case you wish to change an answer, erase the old answer completely using a good
soft eraser,
2, There will bea seperate answer sheet for Conventional questions,
3. Write your name & Roll No. at the specified locations on the right half of the ORS as well as
conventional answer sheet
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jective Questions
QNo. 1 to Q.No. 10 carry 1 markeach
Q.1 Inthe circuit shown below, ifthe Latching
current of the thyristor is 4 mA then the
minimum width of the gate pulse required
to properly turn on the SCR is
oan
88. of
400 Va
(a) tus (b) 2us
(c) Sus (6) 4us
Q.2_ In the circuit shown below, the circuit turn
off time for main thyristor (T,) is 30 us. 1, =
50 A and source voltage is V, = 50 V. For
reliable operation assume 50% tolerance on
circuit turn off time of main thyristor
The value of commutating capacitor ‘C’is
(a) 30uF (b) 40 mF
(©) 45uF (d) SopF
Q.3. In two transistor model of a thyristor shown
below in figure
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© Gop
(21+ 49) fg + losoe
@ 1.= Ty (aq +09)
ely + Ieaor + Fosae
©) a= te [a;+a)
G2ly + Iea01+ !oo00
(©) I= fa, +a)
(d) None of the above
Q.4 Foravoltage source inverter shown in figure
In the interval when V, <0 and i, > 0, the
pair of devices which conducts the load
curentis
@ aa ©) a.
(©) DD, (d) Dy, D,
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Q5 A 1-6 full wave ac voltage controller is {@) line voltage with 120° fring
shown in figure, (b) load phase voltage with 120° fring
(6) line voltage with 180° fring
(@) load phase voltage with 180° fring
Q.8 Inthe circuit shown below,
sa0vims)
eo He
é
The delay angles of thyristors 7, and T,
are equal
a,=a,=0= 2
The rms current of thyristors is
(@ 4a 5A
(6A (7A V,, Vp and V, are zero center PMMC
voltmeters, The circultis intially relaxed.
Switch sis closed at t= 0. In steady state,
readings of voltmeters V, V, and V, are
respectively,
(a) 100 V, 100 v,-100V
Q.6 Astar-connected load of 15 Q/phase is
fed from 420 V de through a 3+) bridge
inverter. The rms value of load current is
"180° conduction mode],
produced or utlleed in any form without th
(@) 116A (b) 12.48
(©) 104A (@) 13.24 : (©) 100,020
2 (©) -100 V, 0, 200
Q.7 Figure (a) shows a 3-6 inverter fed by a | ?| {d) 100, 0, 100 V
constant votage source V,andconnected | &
toabalanced resistive load atthe output, | 3] 0-8 Inthe circuit shown below,
Each switching device may conduct for | £
120° of for 120°. The waveform shown in Ee Ee,
figure (o)'s, z c
: Ve yp
wy 8f sy a ee gem
a Hw |S Lf}
- * LWW] 2 If V, = 200 V, R, = 10 @ and A,
4) yy u thon the poak current through T, is
2 (a) 36A (b) 40
@ 3 (c) 42A (@) 454
=| Q.10 A single-phase full bridge inverter with
We E square wave outpul voltage will have in
2 its output waveform a filth harmonic
% 3) Conporent Tha mavivurvalasofthe th
= harmonic component is equal to x
3 percentage of the source voltage, the value
° ofxis
(a) 20.02% — (b) 24.12%
® (e) 22.79% (a) 25.46%
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(QNo.11 to Q.No. 30 carry 2 marks each The exact minimum average output
. voltage is
Q.11. Asingle phase full converter, connected fa) 30 (sev
to 230 V, 60 Hz source, is feeding a load
R=10Qin series with a large inductance
that makes the load current ripple free. For
a firing angle of 45° the reactive power
input is
(@) 2001 Var (b) 2143 VAr
(©) 2315 Var (d) 2418 Vr
(c) 34V (d) 36V
Q.16 An SCRhas V,z1, characteristics given as
V, = 1.5 +81, Ina certain application,
the gale voltage consists of rectangular
pulses of 12 V and of duration 50 ys with
duty cycle 0.2. The value of R, series
resistor in gate circuit to limit the peak
power dissipation in the gate to 5 watts is
é
Q.12. A thyristor has thermal capacity of 0.1 J/
°C and a thermal resistance of 0.9°CW.
fa) $2 (o) 62
‘The permissible short-time power loss for 7a (80
the temperature rise of 40° C over 0.01 sec
is. Q.17 A 220 V, 1000 rpm, 60 A separately-
(@) 422W (&) 412. excited de motor has an armature
(©) 451W (6) 440w resistance of 0.1 2. Itis fed from a single:
phase full converter with an ac source
Q.13 A single-phase bridge-type cycloconverter Voltage of 220 V, 50 Hz. Assuming
has input voltage of 280 V, 50 Hz and load continuous conduetion, the firing angle for
of R= 10, Output frequency is one-third rated motor torque at (500) rpms,
of input frequency. For a firing angle delay fa) 1176" (192
of 30°, The rms current of each thyristor
produced or utlleed in any form without th
3| (c) 122.4" (a) 190.1"
s ?
(@ 113A (0) 2A 8 | @.18 A thyristor has a foward characteristics
@ 142A 5A 8 which may be approximated over its
£ normal working range to the straight line
Q.14 Inthe circuit shown below 2 ‘as shown in figure
150m a
7 rats. pi 2
wesy oly a0 g = 60
| 6 z 8
‘The average output current / 4 Bo
switching frequency is 25 kHz. 3
n State Voltage ()
The peak to peak ripple current of Inductor
is 5
(a) 0.724 (0) 0.778 3 ‘The mean power loss for a half sine wave
(2 0898 (@) 0948 3] ofmeanvaue 1B Ais
Q.15. Inavoltage commulated chopper, voltage | z (a) 30.14W
input V= 250, constantload current /,= | = (o) 94.2
20 A, switching frequency is 250 Hz, | 3) (c) 28.26W
° (a) 326W
commulating components L = 1.25 mH
and C= 8 pF.
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2.19
2.20
21
if the Converter shown in figure has a Q.22 Asingle-phase full bridge inverter has RLC_
purely resistive load of R and the delay load of R= 4, L = 35 mH and C= 155
LF. The de input voltage is 230 V and
angle is a= output frequency is 50 Hz. The 3'¢
8 harmonic component in load current is
2 (a) 16A (b) 222A
a | 2 (c) 1.98.4 (d) 261A
£| Q.23. The figure shows one period of the output,
: voltage of an inverter. a should be chosen
‘The rectfcatoneiclency and Form Factor | § such that 60° < ee < 80° rms value of
(FP) respectively are 2 fundamental components 60 V, then o: in
(@) 18.12% and 1.6 = degrees is
(6) 20.24% and 2.22 S| ov wav tay
(c) 22.04% and 1.22 5 q
(6) 30.14% and 11 4 wo | foe |,
na single phase full wave diode bridge | = ore fee | tease] 589) (doare)
rectifier, the diodes have a reverse | 5 LW
recovery time of 40 us, For an ac input | & oo mov 120
voltage of 280 V and 2500 Hz, the |2 (7715) eae"
percentage reduction in average output | 2 (c) 83.26" (@) 88.14
voltage due to the effect of reverse | 8
tocovery times 3 2.24 Inas-phase bridge rection fed rom the
(a oot ©) 955% c star-connected secondary of a
(ose) 128% : transformer, let the phase voltage of A-
Z phase be V,, sinwt (phase sequence
three-phase half-wave controlled rectifier | = A.B,C). At the instant when the voltage of
circuit is shown in the figure. Itis operated | 3 ‘Acphase is maximum, the output voltage
from 3-9 slar-connected, supply |2 at the rectifier terminals will be
transformer with a line to line ac supply | 2
voltage of 440 volts rms, at 50 Hz. The |& (@) 18, (0) V8 Vy
thyristor are triggered at a delay angle of | 3
a = 30°. Assume continuous ripple free | 2: OB (@) ¥,
current. a
r 2) Q.25 Compared to a single-phase halt-bridge
Ro— pe 3 inverter. the output power ofa single-phase
hs = full-bridge inverter is higher by a factor of
a ms! é (a2 (b) 3
h % & (4 de
se Vo Zaaze0 | @.26 Consider the statements given below,
we -{ 3) Usecrireounesing dove
a (9) Reduce the reactive power demand
The average output cutrentis 3 of the converter
(a) 12.864 (bo) 14.244 (ii) Improves the fundamental power
(c) 15.12A (d) 16.714 factor
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27
2.28
6
(ii) Decreases the current distortion factor
(coF)
(iv) Increases (Total Harmonic Distortion)
THD
which of the above statements are not
correct
(@) (0, (il) and tiv) (b) (i) and (i)
(6) only (i) (@) (i) and (vy
A six pulse eyclo-converter, fed from 3
phase, 400 V, 50 Hz source, is delivering
a load current of 40 A to a single-phase
resistive load. The source has an
inductance of 1.2mH per phase. The rms,
value of load voltage for firing angle delay
of 0° is
(@) 320.42V
(c) 346.12V
(b) 371.78
(d) 399.24
inthe chopper circuit shown in figure, the
input de voltage has a constant value V,
The output voltage Vy is assumed ripple
free. The switch Sis operated with a
switching time period Tand a duty ratio
D.Whattis the value of critical inductance
(Lg) at the boundary of continuous and
discontinuous conduction of the inductor
current i,?
é
produced or utlleed in any form without th
ofthis book may be
"ASY, New Delhi. No p
0 MADE
°
Q.29
Q.30
f@) f= Set)
0 Bh
Ve(210)
Lgx leo)
ne OE
fo) Lg= WA
Dale
(tga Mae")
‘3-6 dual converter, operating in the
circulating current mode, has the following
data:
per phase supply voltage = 230 V, f= 50
Hz, e,, = 60°, current limiting reactor, L =
15mb
The peak value of circulating currentis
(a) 22.144 (b) 25.19
(0) 27744 (a) 29.82
single phase voltage controller has input
voltage of 280 V, 50 Hz anda load of R=
15 Q. For 8 cycles ON and 6 cycles OFF
the average and rms thyristor currents
respectively are
(2) 42Aand9.16A
(0) 39Aanda.13A
(c) 824A and 6.13
(0) 64 Aand 426A
——— End of Section - A ——
POWER ELECTRONICS
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Eine on Gace
(Answer any FOUR out of FIVE)
Q.1 (a) (i) Asingle-phase controlled rectifier bridge consists of one SCR and three diodes as shown
in figure. Sketch output voltage waveform for afiing angle efor the SCR and hence obtain
an expression for the average output voltage under the assumption of constant current
‘Show the conduction of various components as well
(ii) Draw waveforms of current through T,, D,, D, and D, assuming constant load current
(ii) For an ac source voltage of 280 V, 50 Hz and firing angle of 45°, find the average output
current and power delivered to battery in case load consists of A= 52, L = 8 mH and
E= 100.
[15 marks]
(b) A3-phase M-3 converter is operated from 3-phase, 230 V, 50 Hz supply with load resistance
R= 10.9 An average output voltage of 50% of the maximum possible output voltage is
required. Determine the firing angle
[10 marks]
@.2 (a) The buck regulator shown below has an input voltage of V, = 12V. The required average output
voltage is V, = § V at A = 500 2 and the peak-to-peak output ripple voltage is 20 mV. The
switching frequency is 25 kHz. Ifthe peak-to-peak ripple cutrent of inductors limited 10 0.8 A,
determine (i) the duty cycle k, (i) the filter inductance L, and (ii the fiter capacitor C, and (iv)
the critical values of L and C.
[15 marks]
(b) AnRLEloadis operating in a choppe! 0.06
R= Oand constant &. Fora duty cycle of 0.2, find the chopping frequency to limit the amplitude
of load current excursion to 10 A
[10 marks}
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130 V de, T= 1 ms. The load consists of RLC in series
Q.3. Fora single-phase full bridge inverter, V,
1
with R= 19, ol = 6 @and 55-72
(@)_ Sketch the waveforms for load voltage v,, fundamental component of load current ig,, Source
current, and voltage across thyristor’. Indicate the devices under conduction during different
intervals on one eycle.
(i) Find the power delivered to load due to fundamental component.
(iti) Check whether forced commutation is reauited or not, Take thyristor turn-off time as 100 ps.
[25 marks]
4A single-phase voltage controller is employed for controling the power flow from 230 V, 50 Hz
source into a load circuit consisting of A= 3 @ and wl. = 4 @. Calculate:
(9 the control range of fring angle,
(i) the maximum value of rms load current,
(iiithe maximum power and power factor,
(js) the maximum values of average and rms thyristor currents,
(») the maximum possible value of difdt that may occur in the thyristor and
(wi the conduction angle for « = 0° and «= 120° assuming a gate pulse of duration m-radian
[25 marks]
Q.5 (a) A S-phase to single-phase cyclo-converter employs 3-pulse positive and negative group
converters. Each converters supplied from detta/star transformer with per phase turns ratio of
2:1. The supply voltage is 400 V, 50 Hz. The RL load has R= 2.8 and at low output frequency,
1.8. In order to account for commutation overlap and thyristor turn-off time, the fring
angie in the invsersion mode should not exceed 160°. Compute:
(@)_ the value of the fundamental rms output voltage
(i) rms output current and
[15 marks]
(b)_ Asoparately excited de motor, operating trom a single-phase hal-controlled bridge ata speed
of 1400 rpm, has an input voltage of 390 sin314¢ and a back emf 80 V. The SCRs are fred
symmetrically at c= 30° in every half cycle and the armature has a resistance of 4. Calculate
the average armature current and the motor torave.
[10 marks}
End of Paper
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