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Hot questions in Power Systems
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21
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 _______.
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 \...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-3
line-diagrams
fault-analysis
numerical-answers
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–
0
votes
0
answers
22
GATE Electrical 2015 Set 1 | Question: 22
The self inductance of the primary winding of a single phase, $50$ Hz, transformer is $800$ mH, and that of the secondary winding is $600$ mH. The mutual inductance between these two windings is $480$ mH. The secondary winding of this transformer is ... . In this condition, what is the effective inductance (in mH) seen by the source? $416$ $440$ $200$ $920$
The self inductance of the primary winding of a single phase, $50$ Hz, transformer is $800$ mH, and that of the secondary winding is $600$ mH. The mutual inductance betwe...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-1
self-inductance
sinusoidal-voltage-source
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0
votes
0
answers
23
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 $k^2$ $k$ $1/ k$ $\sqrt{k}$
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 $k, k 0$, t...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Power Systems
gate2013-ee
delta-connection
wye-connection
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0
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0
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24
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 $1:4$ $2:3$ $3:2$ $4:1$
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-1
power
plants
power-generation
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–
0
votes
0
answers
25
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?
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. T...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-2
power-system-protection
source-of-reactive-power
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–
0
votes
0
answers
26
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 $-27.12^{\circ}$
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^{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-1
power-system-analysis
reactance
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–
0
votes
0
answers
27
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 ________
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 in...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-2
passive-loads
series-connection
numerical-answers
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–
0
votes
0
answers
28
GATE Electrical 2015 Set 1 | Question: 42
Determine the correctness or otherwise of the following Assertion $[a]$ and the Reason $[r]$ ... $[a]$ and $[r]$ are false. $[a]$ is false and $[r]$ is true.
Determine the correctness or otherwise of the following Assertion $[a]$ and the Reason $[r]$.Assertion: Fast decoupled load flow method gives approximate load flow soluti...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-1
power-flows
line-losses
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–
0
votes
0
answers
29
GATE Electrical 2015 Set 1 | Question: 16
Consider a HVDC link which uses thyristor based line-commutated converters as shown in the figure. For a power flow of $750$ MW from System $1$ to System $2$ ... $V_{1} = −500 \text{ kV} , V_{2} = −485 \text{ kV} $ and $I = −1.5 \text{ kA}$
Consider a HVDC link which uses thyristor based line-commutated converters as shown in the figure. For a power flow of $750$ MW from System $1$ to System $2$, the voltage...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-1
hvdc-lines
power-flow-analysis
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–
0
votes
0
answers
30
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 ... $−j7.0$ $−j8.5$ $−j7.5$ $−j9.0$
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 \\ ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-2
bus-admittance-matrix
self-admittance
mutual
admittance
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–
0
votes
0
answers
31
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 $1.00$ $7.81$ $11.53$ $13.00$
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 s...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-1
unbalanced-system
sequence-networks
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–
0
votes
0
answers
32
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 $-j3.5$ ... $0.325\angle -100^{\circ}$ $0.325\angle 80^{\circ}$ $0.371\angle -100^{\circ}$ $0.433\angle 80^{\circ}$
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 cap...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Power Systems
gate2013-ee
bus-impedance-matrix
source
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–
0
votes
0
answers
33
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. $a = 0.5, b = 2.0$ $a = 2.0, b = 0.5$ $a = 1.0, b = 1.0$ $a = 4.0, b = 0.5$
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 an...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2015-ee-2
turn-ratio
transformer-core
eddy-current
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–
0
votes
0
answers
34
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 $3$ ... $\theta _2=0,\theta _3=-0.1$ $\theta _2=0.1,\theta _3=0.1$ $\theta _2=0.1,\theta _3=0.2$
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...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Power Systems
gate2013-ee
pv-buses
pq-buses
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–
0
votes
0
answers
35
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 $10\sqrt{3}\angle 105^\circ$ $10\angle 105^\circ$ $10\sqrt{3}\angle -75^\circ$ $-10\sqrt{3}\angle 90^\circ$
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 ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-3
balanced-three-phase-line
sequence-networks
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–
0
votes
0
answers
36
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 _________.
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 deliver...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-2
infinite-bus
real-power
numerical-answers
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–
0
votes
0
answers
37
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 ______.
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 ______.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-2
balanced-loads
power-factor
numerical-answers
+
–
0
votes
0
answers
38
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 _________.
Three phase $100$ $MVA$ ,$25$ $kV$ generator has solidly grounded neutral. The positive, negative, and the zero sequence reactances of the generator are $0.2$ $pu$, $0.2$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-2
solidly-grounded
zero-sequence-network
ground-fault
numerical-answers
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–
0
votes
0
answers
39
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 _________.
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 i...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-3
power-systems
power-measurement
current-rating
numerical-answers
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–
0
votes
0
answers
40
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 ________.
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/dec...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-1
bode-plot
feed-back-system
numerical-answers
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