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Previous GATE Questions in Power Systems
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Previous GATE
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Previous GATE
0
votes
0
answers
1
GATE201347
When the $NewtonRaphson$ method is applied to solve the equation $f(x)=x^3+2x1=0$ ,the solution at the end of the first iteration with the initial guess value as $x_0$ =$1.2$ is $0.82$ $0.49$ $0.705$ $1.69$
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
iterativetechniques
linelosses
0
votes
0
answers
2
GATE201352
In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to $j1$ $\Omega$ The voltage phase angles in rad at buses $2$ and $3$ ... $\theta _2=0,\theta _3=0.1$ $\theta _2=0.1,\theta _3=0.1$ $\theta _2=0.1,\theta _3=0.2$
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
pvbuses
pqbuses
0
votes
0
answers
3
GATE201353
In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to $j1$ $\Omega$ If the base impedance and the linetoline base ... respectively, then the real power in $MW$ delivered by the generator connected at the slack bus is $10$ $0$ $10$ $20$
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
powerflowanalysis
buses
0
votes
0
answers
4
GATE201345
A $4$pole induction motor, supplied by a slightly unbalanced threephase $50 Hz$ source, is rotating at $1400rpm$. The electrical frequency in $Hz$ of the induced negative sequence current in the rotor is $100$ $98$ $52$ $48$
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
salientpoles
sequencecurrent
0
votes
0
answers
5
GATE201333
For a power system network with $n$ nodes, $Z_{33}$ of its bus impedance matrix is $j0.5$ per unit. The voltage at node $3$ is $1.3\angle 10^0$ per unit. If a capacitor having reactance of $j3.5$ per unit is now added to the network between node $3$ and the reference ... drawn by the capacitor per unit is $0.325\angle 100^0$ $0.325\angle 80^0$ $0.371\angle 100^0$ $0.433\angle 80^0$
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
busimpedancematrix
source
0
votes
0
answers
6
GATE201319
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k$, $k$ > $0$, the elements of the corresponding star equivalent will be scaled by a factor of $k^2$ $k$ 1/$k$ $\sqrt{k}$
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
deltaconnection
wyeconnection
0
votes
0
answers
7
GATE20138
A singlephase load is supplied by a singlephase voltage source.If the current flowing from the load to the source is $10\angle 150^0$ $A$ and if the voltage at the load terminals is $100\angle 60^0$ $V$,then the Load absorbs ... Load absorbs real power and absorbs reactive power. Load delivers real power and delivers reactive power. Load delivers real power and absorbs reactive power.
asked
Feb 12, 2017
in
Power Systems
by
piyag476
(
1.5k
points)
gate2013ee
reactivepower
realpower
0
votes
0
answers
8
GATE2014353
A threephase fully controlled bridge converter is fed through stardelta transformer as shown in the figure. The converter is operated at a firing angle of $300$. Assuming the load current ($I_0)$ to be virtually constant at $1$ $p.u$. and transformer to be an ideal one, the input phase current waveform is
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
starconnection
deltaconnection
0
votes
0
answers
9
GATE2014343
The figure shows the single line diagram of a single machine infinite bus system. The inertia constant of the synchronous generator $H$=$5$ $MWs$/$MVA$. Frequency is$50$ $Hz$. Mechanical power is $1$ $pu$. The system is operating at the stable equilibrium point with ... instant of fault clearing are $45^0$ and $3.762$ $radian/s$ respectively, then $P_{max}$ (in $pu$) is _______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
linediagrams
faultanalysis
0
votes
0
answers
10
GATE2014341
For a $400$ $km$ long transmission line, the series impedance is ($0.0$ + $j0.5$) $Ω/km$ and the shunt admittance is ($0.0$ + $j5.0$) $μmho$/$km$. The magnitude of the series impedance (in $\Omega$) of the equivalent $\pi$ circuit of the transmission line is ________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
long
transmission
line
series
impedance
0
votes
0
answers
11
GATE2014342
The complex power consumed by a constantvoltage load is given by ($P_1$+$jQ_1$), where, $1$ $kW$ ≤$P_1$≤$1.5$ $kW$ and $0.5$ $kVAR$≤ $Q_1$≤ $1$ $kVAR$. A compensating shunt capacitor is chosen such that $Q$≤$0.25$ $kVAR$, where $Q$ is the net reactive power consumed by the capacitorload combination. The reactive power (in $kVAR$) supplied by the capacitor is _________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
capacitorloadcombination
0
votes
0
answers
12
GATE2014328
The function $f(x)=e^x1$ is to be solved using NewtonRaphson method. If the initial value of $x_0$ is taken as $1.0$, then the absolute error observed at $2^{nd}$ iteration is _______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
linelosses
iterativemethod
0
votes
0
answers
13
GATE2014316
A $183$bus power system has $150$ $PQ$ buses and $32$ $PV$ buses. In the general case, to obtain the load flow solution using NewtonRaphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ___________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
slackbus
linelosses
0
votes
0
answers
14
GATE2014324
A nonideal voltage source $V_s$ has an internal impedance of $Z_s$. If a purely resistive load is to be chosen that maximizes the power transferred to the load, its value must be 0 real part of $Z_s$ magnitude of $Z_s$ magnitude of $Z_s$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
nonidealvoltagesource
resistiveload
0
votes
0
answers
15
GATE201436
The line $A$ to neutral voltage is $10\angle 15^0$ for a balanced three phase starconnected load with phase sequence $ABC$. The voltage of line $B$ with respect to line $C$ is given by $10\sqrt{3}\angle 105^0$ $10\angle 105^0$ $10\sqrt{3}\angle 75^0$ $10\sqrt{3}\angle 90^0$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
balancedthreephaseline
sequencenetworks
0
votes
0
answers
16
GATE2014314
In a long transmission line with $r$,$l$,$g$ and $c$ are the resistance, inductance, shunt conductance and capacitance per unit length, respectively, the condition for distortionless transmission is $rc=lg$ $r=\sqrt{l/c}$ $rg=lc$ $g=\sqrt{c/l}$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
longtransmissionline
distortion
0
votes
0
answers
17
GATE2014315
For a fully transposed transmission line positive, negative and zero sequence impedances are equal positive and negative sequence impedances are equal zero and positive sequence impedances are equal negative and zero sequence impedances are equal
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
transmissionline
sequences
0
votes
0
answers
18
GATE2014240
A synchronous generator is connected to an infinite bus with excitation voltage $E_f$ = $1.3$ $pu$. The generator has a synchronous reactance of $1.1$ $pu$ and is delivering real power $(P)$ of $0.6$ $pu$ to the bus. Assume the infinite bus ... $pu$. Neglect stator resistance. The reactive power $(Q)$ in $pu$ supplied by the generator to the bus under this condition is _________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
infinitebus
realpower
0
votes
0
answers
19
GATE2014241
There are two generators in a power system. Noload frequencies of the generators are $51.5$ $Hz$ and $51$ $Hz$, respectively, and both are having droop constant of $1$ $Hz$/$MW$. Total load in the system is $2.5$ $MW$. Assuming that the generators are operating under their respective droop characteristics, the frequency of the power system in $Hz$ in the steady state is ___________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
powersystemanalysis
powerproduction
0
votes
0
answers
20
GATE2014243
Three phase $100$ $MVA$ ,$25$ $kV$ generator has solidly grounded neutral. The positive, negative, and the zero sequence reactances of the generator are $0.2$ $pu$, $0.2$ $pu$, and $0.05$ $pu$, respectively, at the machine ... bolted single phase to ground fault occurs at the terminal of the unloaded generator, the fault current in amperes immediately after the fault is _________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
solidlygrounded
zerosequencenetwork
groundfault
0
votes
0
answers
21
GATE2014220
While measuring power of a threephase balanced load by the twowattmeter method, the readings are $100$ $W$ and $250$ $W$. The power factor of the load is ______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
balancedloads
powerfactor
0
votes
0
answers
22
GATE2014215
A three phase starconnected load is drawing power at a voltage of $0.9$ $pu$ and $0.8$ power factor lagging. The three phase base power and base current are $100$ $MVA$ and $437.384$ $A$ respectively. The linetoline load voltage in $kV$ is ________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
powerfactor
starconnection
0
votes
0
answers
23
GATE2014216
Shunt reactors are sometimes used in high voltage transmission systems to limit the short circuit current through the line. compensate for the series reactance of the line under heavily loaded condition. limit overvoltages at the load side under lightly loaded condition. compensate for the voltage drop in the line under heavily loaded condition.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
transmission
system
seriesreactors
0
votes
0
answers
24
GATE201426
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are $380$ $μH$ and $240$ $μH$. Their mutual inductance in $μH$ is ________
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
passiveloads
seriesconnection
0
votes
0
answers
25
GATE2014212
A single phase, $50$ $kVA$, $1000V$/$100V$ two winding transformer is connected as an autotransformer as shown in the figure. The $kVA$ rating of the autotransformer is _____________.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
autotransformer
stepdowntransformer
0
votes
0
answers
26
GATE2014145
The Bode magnitude plot of the transfer function $G(s)=\frac{K(1+0.5s)(1+as)}{s(1+\frac{s}{8})(1+bs)(1+\frac{s}{36})}$ is shown below: Note that $6$ $dB$/$octave$ = $‒20$ $dB$/$decade$. The value of $\frac{a}{bK}$ is ______.
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
bodeplot
feedbacksystem
0
votes
0
answers
27
GATE2014139
A three phase synchronous generator is to be connected to the infinite bus. The lamps are connected as shown in the figure for the synchronization. The phase sequence of bus voltage is $R$$Y$$B$ ... bus same as infinite bus and its frequency is more than infinite bus same as infinite bus and its frequency is less than infinite bus
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
infinite
bus
synchronization
0
votes
0
answers
28
GATE2014140
A distribution feeder of $1$ $km$ length having resistance, but negligible reactance, is fed from both the ends by $400V$, $50$ $Hz$ balanced sources. Both voltage sources $S_1$ and $S_2$ ... $A$ $50$ $A$ and $50$ $A$ $25$ $A$ and $75$ $A$ $0$ $A$ and $100$ $A$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
singlelinediagram
distribution
feeder
0
votes
0
answers
29
GATE2014141
A two bus power system shown in the figure supplies load of $1.0$+$j0.5$ $p.u$. The values of $V_1$ in $p.u$. and $δ_2$ respectively are $0.95$ and $6.00^0$ $1.05$ and $5.44^0$ $1.1$ and $6.00^0$ $1.1$ and $27.12^0$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
powersystemanalysis
reactance
0
votes
0
answers
30
GATE2014142
The fuel cost functions of two power plants are Plant $P_1$ : $C_1=0.05Pg_1^2+APg_1+B$ Plant $P_2$ : $C_2=0.10Pg_2^2+3APg_2+2B$ where, $P_{g1}$ and $P_{g2}$ are the generated powers of two plants, and $A$ and $B$ are the constants. If the two plants optimally share $1000$ ... fuel cost of $100$ $Rs/MWh$, the ratio of load shared by plants $P_1$ and $P_2$ is $1:4$ $2:3$ $3:2$ $4:1$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
power
plants
powergeneration
0
votes
0
answers
31
GATE2014143
The overcurrent relays for the line protection and loads connected at the buses are shown in the figure The relays are IDMT in nature having the characteristic $t_{op}=\frac{0.12\times TimeMultiplierSetting}{(PlugSettingMultiplier)^{0.02}1}$ The maximum and minimum fault ... for relay $R_B$ to be $0.1$ and $5A$ respectively, the operating time of $R_B$ (in seconds) is ______________
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
overcurrent
relays
line
protection
0
votes
0
answers
32
GATE2014131
In an unbalanced three phase system, phase current $I_a=1\angle (90^0) pu$ , negative sequence current $I_{b2}=4\angle (150^0) pu$, zero sequence current $I_{c0}=3\angle (90^0) pu$. The magnitude of phase current $I_b$ in $pu$ is $1.00$ $7.81$ $11.53$ $13.00$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
unbalancedsystem
sequencenetworks
0
votes
0
answers
33
GATE2014116
A $2$bus system and corresponding zero sequence network are shown in the figure. The transformers $T_1$and $T_2$ are connected as
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
sequencenetworks
bussystem
0
votes
0
answers
34
GATE2014119
Power consumed by a balanced $3$phase, $3$wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then the load impedance angle in radians is $\pi /12$ $\pi /8$ $\pi /6$ $\pi /3$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
balancedsystem
load
impedance
0
votes
0
answers
35
GATE2014114
The undesirable property of an electrical insulating material is high dielectric strength High relative permittivity high thermal conductivity High insulation resistivity
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
insulation
powersystemanalysis
conductingwires
0
votes
0
answers
36
GATE2014115
Threephase to ground fault takes place at locations $F_1$ and $F_2$ in the system shown in the figure If the fault takes place at location $F_1$, then the voltage and the current at bus $A$ are $V_{F1}$ and $I_{F1}$ respectively. If the fault takes place at location $F_2$, then the ... $I_{F1}$ and $V_{F2}$ leads $I_{F2}$ $V_{F1}$ lags $I_{F1}$ and $V_{F2}$ lags $I_{F2}$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
singlelinediagram
powerfactor
0
votes
0
answers
37
GATE2015216
The synchronous generator shown in the figure is supplying active power to an infinite bus via two short, lossless transmission lines, and is initially in steady state. The mechanical power input to the generator and the voltage magnitude $E$ are constant. If one ... transient. Which one of the following waveforms of the rotor angle $\delta$ shows the transient correctly?
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
powersystemprotection
sourceofreactivepower
0
votes
0
answers
38
GATE2015217
A 3bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system is $\begin{bmatrix} j6 &j3 &j4 \\ j3&j7 &j5 \\ j4& j5 & j8 \end{bmatrix}$ pu. If the shunt capacitance of all transmission ... $−j7.0$ $−j8.5$ $−j7.5$ $−j9.0$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
busadmittancematrix
selfadmittance
mutual
admittance
0
votes
0
answers
39
GATE2015220
Find the transformer ratios $a$ and $b$ such that the impedance ($Z_{in}$) is resistive and equals $2.5 \Omega$ when the network is excited with a sine wave voltage of angular frequency of $5000$ rad/s. $a = 0.5, b = 2.0$ $a = 2.0, b = 0.5$ $a = 1.0, b = 1.0$ $a = 4.0, b = 0.5$
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
turnratio
transformercore
eddycurrent
0
votes
0
answers
40
GATE201526
A $3$phase balanced load which has a power factor of $0.707$ is connected to a balanced supply. The power consumed by the load is $5$ kW. The power is measured by the twowattmeter method. The readings of the two wattmeters are $3.94$ kW and $1.06$ kW $2.50$ kW and $2.50$ kW $5.00$ kW and $0.00$ kW $2.96$ kW and $2.04$ kW
asked
Feb 12, 2017
in
Power Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
balancedoperation
powermeasurement
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