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Recent questions and answers in Power Systems
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1
GATE Electrical 2013 | Question: 53
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 line- ... , then the real power in $MW$ delivered by the generator connected at the slack bus is $-10$ $0$ $10$ $20$
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gate2013-ee
power-flow-analysis
buses
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2
GATE Electrical 2013 | Question: 52
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 $3$ ... $\theta _2=0,\theta _3=-0.1$ $\theta _2=0.1,\theta _3=0.1$ $\theta _2=0.1,\theta _3=0.2$
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Power Systems
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gate2013-ee
pv-buses
pq-buses
0
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0
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3
GATE Electrical 2013 | Question: 47
When the $\text{Newton-Raphson}$ method is applied to solve the equation $f(x)=x^3+2x-1=0$ ,the solution at the end of the first iteration with the initial guess value as $x_0$ =$1.2$ is $-0.82$ $0.49$ $0.705$ $1.69$
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Power Systems
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piyag476
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gate2013-ee
iterative-techniques
line-losses
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0
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4
GATE Electrical 2013 | Question: 45
A $4$ – pole induction motor, supplied by a slightly unbalanced three-phase $50 Hz$ source, is rotating at $1400\:rpm$. The electrical frequency in $Hz$ of the induced negative sequence current in the rotor is $100$ $98$ $52$ $48$
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Power Systems
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piyag476
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gate2013-ee
salient-poles
sequence-current
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5
GATE Electrical 2013 | Question: 33
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 $1.3\angle -10^{\circ}$ per unit. If a capacitor having reactance of $-j3.5$ ... $0.325\angle -100^{\circ}$ $0.325\angle 80^{\circ}$ $0.371\angle -100^{\circ}$ $0.433\angle 80^{\circ}$
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Power Systems
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piyag476
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gate2013-ee
bus-impedance-matrix
source
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6
GATE Electrical 2013 | Question: 19
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 $k^2$ $k$ $1/ k$ $\sqrt{k}$
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Power Systems
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piyag476
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gate2013-ee
delta-connection
wye-connection
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7
GATE Electrical 2013 | Question: 8
A single-phase load is supplied by a single-phase 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 $100\angle 60^0\: V$, ... absorbs real power and absorbs reactive power. Load delivers real power and delivers reactive power. Load delivers real power and absorbs reactive power.
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Power Systems
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piyag476
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gate2013-ee
reactive-power
real-power
0
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0
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8
GATE Electrical 2014 Set 3 | Question: 53
A three-phase fully controlled bridge converter is fed through star-delta 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
makhdoom ghaya
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Power Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2014-ee-3
star-connection
delta-connection
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0
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9
GATE Electrical 2014 Set 3 | Question: 42
The complex power consumed by a constant-voltage load is given by $(P_1+jQ_1)$, where, $1 \: kW \leq P_1 \leq 1.5 \text{ kW}$ and $0.5 \: \text{kVAR} \leq Q_1 \leq 1 \text{ kVAR}$. A compensating shunt ... is the net reactive power consumed by the capacitor-load combination. The reactive power (in $\text{kVAR}$) supplied by the capacitor is _________.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
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gate2014-ee-3
capacitor-load-combination
numerical-answers
0
votes
0
answers
10
GATE Electrical 2014 Set 3 | Question: 43
The figure shows the single line diagram of a single machine infinite bus system. The inertia constant of the synchronous generator $H = 5 \: MW-s/MVA$. Frequency is $50 \: Hz$. Mechanical power is $1 \: pu$. The system is operating at the stable ... $3.762 \text{ radian/s}$ respectively, then $P_{\text{max}}$ (in $pu$) is _______.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2014-ee-3
line-diagrams
fault-analysis
numerical-answers
0
votes
0
answers
11
GATE Electrical 2014 Set 3 | Question: 41
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 ________.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2014-ee-3
long
transmission
line
series
impedance
numerical-answers
0
votes
0
answers
12
GATE Electrical 2014 Set 3 | Question: 24
A non-ideal 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 $Z_s$
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makhdoom ghaya
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gate2014-ee-3
non-ideal-voltage-source
resistive-load
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0
answers
13
GATE Electrical 2014 Set 3 | Question: 19
An $LPF$ wattmeter of power factor $0.2$ is having three voltage settings $300 V$, $150 V$ and $75 V$, and two current settings $5 A$ and $10 A$. The full scale reading is $150$. If the wattmeter is used with $150 V$ voltage setting and $10 A$ current setting, the multiplying factor of the wattmeter is _________.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2014-ee-3
power-systems
power-measurement
current-rating
numerical-answers
0
votes
0
answers
14
GATE Electrical 2014 Set 3 | Question: 16
A $183$-bus power system has $150$ $PQ$ buses and $32$ $PV$ buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ___________.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2014-ee-3
slack-bus
line-losses
numerical-answers
0
votes
0
answers
15
GATE Electrical 2014 Set 3 | Question: 15
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
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Power Systems
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gate2014-ee-3
transmission-line
sequences
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0
answers
16
GATE Electrical 2014 Set 3 | Question: 14
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 $rc=lg$ $r=\sqrt{l/c}$ $rg=lc$ $g=\sqrt{c/l}$
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Power Systems
Feb 12, 2017
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makhdoom ghaya
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gate2014-ee-3
long-transmission-line
distortion
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17
GATE Electrical 2014 Set 3 | Question: 6
The line $A$ to neutral voltage is $10\angle 15^\circ$ for a balanced three phase star-connected load with phase sequence $ABC$. The voltage of line $B$ with respect to line $C$ is given by $10\sqrt{3}\angle 105^\circ$ $10\angle 105^\circ$ $10\sqrt{3}\angle -75^\circ$ $-10\sqrt{3}\angle 90^\circ$
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Power Systems
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gate2014-ee-3
balanced-three-phase-line
sequence-networks
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0
answers
18
GATE Electrical 2014 Set 2 | Question: 41
There are two generators in a power system. No-load 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 ... are operating under their respective droop characteristics, the frequency of the power system in $Hz$ in the steady state is ___________.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
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gate2014-ee-2
power-system-analysis
power-production
numerical-answers
0
votes
0
answers
19
GATE Electrical 2014 Set 2 | Question: 43
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 ... phase to ground fault occurs at the terminal of the unloaded generator, the fault current in amperes immediately after the fault is _________.
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gate2014-ee-2
solidly-grounded
zero-sequence-network
ground-fault
numerical-answers
0
votes
0
answers
20
GATE Electrical 2014 Set 2 | Question: 40
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. ... Neglect stator resistance. The reactive power $(Q)$ in $pu$ supplied by the generator to the bus under this condition is _________.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2014-ee-2
infinite-bus
real-power
numerical-answers
0
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0
answers
21
GATE Electrical 2014 Set 2 | Question: 47
Suppose that resistors $R_1$ and $R_2$ are connected in parallel to give an equivalent resistor $R$. If resistors $R_1$ and $R_2$ have tolerance of $1 \%$ each, the equivalent resistor $R$ for resistors $R_1=300\: \Omega$ and $R_2 = 200 \: \Omega$ will have tolerance of $0.5 \%$ $1 \%$ $1.2 \%$ $2 \%$
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Power Systems
Feb 12, 2017
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makhdoom ghaya
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gate2014-ee-2
power-systems
parallel-combination
tolerance
0
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0
answers
22
GATE Electrical 2014 Set 2 | Question: 20
While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are $100$ $W$ and $250$ $W$. The power factor of the load is ______.
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Power Systems
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makhdoom ghaya
9.3k
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gate2014-ee-2
balanced-loads
power-factor
numerical-answers
0
votes
0
answers
23
GATE Electrical 2014 Set 2 | Question: 16
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 over-voltages at the load side under lightly loaded condition. compensate for the voltage drop in the line under heavily loaded condition.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
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gate2014-ee-2
transmission
system
series-reactors
0
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0
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24
GATE Electrical 2014 Set 2 | Question: 15
A three phase star-connected 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 line-to-line load voltage in $kV$ is ________.
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Power Systems
Feb 12, 2017
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makhdoom ghaya
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gate2014-ee-2
power-factor
star-connection
numerical-answers
0
votes
0
answers
25
GATE Electrical 2014 Set 2 | Question: 12
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 _____________.
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Power Systems
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makhdoom ghaya
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gate2014-ee-2
auto-transformer
step-down-transformer
numerical-answers
0
votes
0
answers
26
GATE Electrical 2014 Set 2 | Question: 6
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 ________
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Power Systems
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makhdoom ghaya
9.3k
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gate2014-ee-2
passive-loads
series-connection
numerical-answers
0
votes
0
answers
27
GATE Electrical 2014 Set 1 | Question: 45
The Bode magnitude plot of the transfer function $G(s)=\dfrac{K(1+0.5s)(1+as)}{s(1+\frac{s}{8})(1+bs)(1+\frac{s}{36})}$ is shown below: Note that $-6dB/octave = -20 dB/decade.$ The value of $\dfrac{a}{bK}$ is ________.
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Power Systems
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makhdoom ghaya
9.3k
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gate2014-ee-1
bode-plot
feed-back-system
numerical-answers
0
votes
0
answers
28
GATE Electrical 2014 Set 1 | Question: 39
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 $R-Y-B$ and that of incoming generator voltage ... infinite bus and its frequency is more than infinite bus same as infinite bus and its frequency is less than infinite bus
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Power Systems
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makhdoom ghaya
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gate2014-ee-1
infinite
bus
synchronization
0
votes
0
answers
29
GATE Electrical 2014 Set 1 | Question: 40
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 $S_2$ are in phase. The feeder supplies concentrated loads of unity power factor as shown in the figure. ... $25\:A$ $50\:A$ and $50\:A$ $25\:A$ and $75\:A$ $0\:A$ and $100\:A$
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gate2014-ee-1
single-line-diagram
distribution
feeder
0
votes
0
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30
GATE Electrical 2014 Set 1 | Question: 41
A two bus power system shown in the figure supplies load of $1.0+j0.5\: \text{p.u}.$ The values of $V_1$ in $\text{p.u.}$ and $\delta_2$ respectively are $0.95$ and $6.00^{\circ}$ $1.05$ and $-5.44^{\circ}$ $1.1$ and $-6.00^{\circ}$ $1.1$ and $-27.12^{\circ}$
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Power Systems
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makhdoom ghaya
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gate2014-ee-1
power-system-analysis
reactance
0
votes
0
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31
GATE Electrical 2014 Set 1 | Question: 42
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 ... $100$ $Rs/MWh$, the ratio of load shared by plants $P_1$ and $P_2$ is $1:4$ $2:3$ $3:2$ $4:1$
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Power Systems
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gate2014-ee-1
power
plants
power-generation
0
votes
0
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32
GATE Electrical 2014 Set 1 | Question: 43
The overcurrent relays for the line protection and loads connected at the buses are shown in the figure. The relays are $IDMT$ ... relay $R_B$ to be $0.1$ and $5A$ respectively, the operating time of $R_B$ (in seconds) is ______________
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Power Systems
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gate2014-ee-1
overcurrent
relays
line
protection
numerical-answers
0
votes
0
answers
33
GATE Electrical 2014 Set 1 | Question: 31
In an unbalanced three phase system, phase current $I_a=1\angle (-90^{\circ})\: \text{pu}$ , negative sequence current $I_{b2}=4\angle (-150^{\circ})\: \text{pu}$, zero sequence current $I_{c0}=3\angle 90^{\circ}\: \text{pu}.$ The magnitude of phase current $I_b$ in $\text{pu}$ is $1.00$ $7.81$ $11.53$ $13.00$
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Power Systems
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gate2014-ee-1
unbalanced-system
sequence-networks
0
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34
GATE Electrical 2014 Set 1 | Question: 15
Three-phase 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 ... $I_{F1}$ and $V_{F2}$ leads $I_{F2}$ $V_{F1}$ lags $I_{F1}$ and $V_{F2}$ lags $I_{F2}$
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Power Systems
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single-line-diagram
power-factor
0
votes
0
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35
GATE Electrical 2014 Set 1 | Question: 16
A $2$-bus system and corresponding zero sequence network are shown in the figure. The transformers $T_1$and $T_2$ are connected as
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Power Systems
Feb 12, 2017
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makhdoom ghaya
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gate2014-ee-1
sequence-networks
bus-system
0
votes
0
answers
36
GATE Electrical 2014 Set 1 | Question: 19
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 $\pi /12$ $\pi /8$ $\pi /6$ $\pi /3$
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Power Systems
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makhdoom ghaya
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gate2014-ee-1
balanced-system
load
impedance
0
votes
0
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37
GATE Electrical 2014 Set 1 | Question: 14
The undesirable property of an electrical insulating material is high dielectric strength High relative permittivity high thermal conductivity High insulation resistivity
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Power Systems
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gate2014-ee-1
insulation
power-system-analysis
conducting-wires
0
votes
0
answers
38
GATE Electrical 2015 Set 2 | Question: 20
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. $a = 0.5, b = 2.0$ $a = 2.0, b = 0.5$ $a = 1.0, b = 1.0$ $a = 4.0, b = 0.5$
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gate2015-ee-2
turn-ratio
transformer-core
eddy-current
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votes
0
answers
39
GATE Electrical 2015 Set 2 | Question: 17
A $3$-bus 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 ... $−j7.0$ $−j8.5$ $−j7.5$ $−j9.0$
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Power Systems
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gate2015-ee-2
bus-admittance-matrix
self-admittance
mutual
admittance
0
votes
0
answers
40
GATE Electrical 2015 Set 2 | Question: 16
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 ... . Which one of the following waveforms of the rotor angle $\delta$ shows the transient correctly?
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gate2015-ee-2
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