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Recent questions tagged gate2015-ee-1
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1
GATE Electrical 2015 Set 1 | Question: 54
Find the transfer function $\dfrac{Y(s)}{X(s)}$ of the system given below $\dfrac{G_{1}}{1-HG_{1}} + \dfrac{G_{2}}{1-HG_{2}} \\$ $\dfrac{G_{1}}{1+HG_{1}} + \dfrac{G_{2}}{1+HG_{2}} \\$ $\dfrac{G_{1}+G_{2}}{1+H (G_{1}+G_{2})} \\$ $\dfrac{G_{1}+G_{2}}{1-H (G_{1}+G_{2})}$
makhdoom ghaya
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Power Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2015-ee-1
power-systems
transfer-function
feedback-system
0
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0
answers
2
GATE Electrical 2015 Set 1 | Question: 55
The open loop poles of a third order unity feedback system are at $0, −1, −2$. Let the frequency corresponding to the point where the root locus of the system transits to unstable region be $K$. Now suppose we introduce a zero in ... a frequency less than $K$ It corresponds to a frequency $K$ Root locus of modified system never transits to unstable region
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Control Systems
Feb 12, 2017
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makhdoom ghaya
9.3k
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gate2015-ee-1
root-locus
unity-feedback-system
0
votes
0
answers
3
GATE Electrical 2015 Set 1 | Question: 50
A $200/400$ V, $50$ Hz, two-winding transformer is rated at $20$ kVA. Its windings are connected as an auto-transformer of rating $200/600$ V. A resistive load of $12 \Omega$ is connected to the high voltage ($600$ V) side of the auto-transformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _________.
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Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
electrical-circuits
two-winding
transformer
auto-transformer
numerical-answers
0
votes
0
answers
4
GATE Electrical 2015 Set 1 | Question: 49
A DC motor has the following specifications: $10$ hp, $37.5$ A, $230$ V; flux/pole $= 0.01$ Wb, number of poles $= 4$, number of conductors $= 666$, number of parallel paths $= 2$. Armature resistance$ = 0.267 \Omega$. The ... The motor operates from a $230$ V DC supply. If the motor runs at $1000$ rpm, the output torque produced (in Nm) is ________.
makhdoom ghaya
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in
Electrical Machines
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
armature-resistance
output-torque
number-of-parallel-paths
numerical-answers
0
votes
0
answers
5
GATE Electrical 2015 Set 1 | Question: 48
A separately excited $DC$ motor runs at $1000$ rpm on no load when its armature terminals are connected to a $200$ ... , the speed rises to $520$ rpm. Neglecting the rotational losses, the full load armature current (in Ampere) is ____________.
makhdoom ghaya
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Electrical Machines
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
separately-excited
no-load-armature-current
numerical-answers
0
votes
0
answers
6
GATE Electrical 2015 Set 1 | Question: 43
A $50 \text{ Hz}$ generating unit has H-constant of $2 \text{ MJ/MVA}$. The machine is initially operating in steady state at synchronous speed, and producing $1 \:pu$ of real power. The initial value of the rotor angle $\delta$ ... power to remain at $1 \: pu$, the value of $\delta$ in degrees, $0.02$ second after the fault is _________.
makhdoom ghaya
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in
Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
short-circuit-fault
synchronous-speed
numerical-answers
0
votes
0
answers
7
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.
makhdoom ghaya
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Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
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gate2015-ee-1
power-flows
line-losses
0
votes
0
answers
8
GATE Electrical 2015 Set 1 | Question: 51
Two single-phase transformers $T_{1}$ and $T_{2}$ each rated at $500$ kVA are operated in parallel. Percentage impedances of $T_{1}$ and $T_{2}$ are $(1 + j6)$ and $(0.8 + j4.8)$, respectively. To share a load of $1000$ kVA at $0.8$ lagging power factor, the contribution of $T_{2}$ (in kVA) is _______.
makhdoom ghaya
asked
in
Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
lagging-power-factor
single-phase-transformers
numerical-answers
0
votes
0
answers
9
GATE Electrical 2015 Set 1 | Question: 47
In the given circuit, the parameter $k$ is positive, and the power dissipated in the $2 \Omega$ resistor is $12.5$W. The value of $k$ is _________.
makhdoom ghaya
asked
in
Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
dependent-sources
nodal-analysis
numerical-answers
0
votes
0
answers
10
GATE Electrical 2015 Set 1 | Question: 46
In a linear two-port network, when $10$ V is applied to Port $1$, a current of $4$ A flows through Port $2$ when it is short-circuited. When $5$ V is applied to Port $1$, a current of $1.25$ A flows through a $1 \Omega$ ... When $3$ V is applied to Port $1$, the current (in Ampere) through a $2 \Omega$ resistance connected across Port $2$ is ________.
makhdoom ghaya
asked
in
Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
network
nodal-analysis
numerical-answers
0
votes
0
answers
11
GATE Electrical 2015 Set 1 | Question: 45
The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the $AC$ source (in Volt) is given by $v(t) = 12 \sin t$. If the circuit is in steady state, then the rms value of the current (in Ampere) flowing in the circuit is ________.
makhdoom ghaya
asked
in
Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
series-connection
steady
state
numerical-answers
0
votes
0
answers
12
GATE Electrical 2015 Set 1 | Question: 44
A sustained three-phase fault occurs in the power system shown in the figure. The current and voltage phasors during the fault (on a common reference), after the natural transients have died down, are also shown. Where is the fault located? Location $P$ Location $Q$ Location $R$ Location $S$
makhdoom ghaya
asked
in
Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
single-line-diagram
fault-analysis
0
votes
0
answers
13
GATE Electrical 2015 Set 1 | Question: 52
In the signal flow diagram given in the figure, $u_{1}$ and $u_{2}$ are possible inputs whereas $y_{1}$ and $y_{2}$ are possible outputs. When would the SISO system derived from this diagram be controllable and observable? When $u_{1}$ is the only input ... input and $y_{2}$ is the only output. When $u_{2}$ is the only input and $y_{2}$ is the only output.
makhdoom ghaya
asked
in
Control Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
flow-diagram
transfer-function
0
votes
0
answers
14
GATE Electrical 2015 Set 1 | Question: 53
The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $(2 − j3)$. List all the poles and zeroes. Poles at $(2 \pm j3)$, no zeroes. Poles at $(\pm 2 − j3)$, one zero at origin. Poles at $(2 − j3)$, $(−2 + j3)$, zeroes at $(−2 − j3)$, $(2 + j3)$. Poles at $(2 \pm j3)$, zeroes at $(−2 \pm j3)$.
makhdoom ghaya
asked
in
Control Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
second-order-real-system
poles
zeroes
0
votes
0
answers
15
GATE Electrical 2015 Set 1 | Question: 41
Consider the economic dispatch problem for a power plant having two generating units. The fuel costs in Rs/MWh along with the generation limits for the two units are given below: ... $200 \: MW$ is _______.
makhdoom ghaya
asked
in
Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
economic-dispatch
incremental-cost
numerical-answers
0
votes
0
answers
16
GATE Electrical 2015 Set 1 | Question: 40
An $8$-bit, unipolar Successive Approximation Register type ADC is used to convert $3.5$ V to digital equivalent output. The reference voltage is $+5$ V. The output of the ADC, at the end of 3rd clock pulse after the start of conversion, is $1010 \: \: 0000$ $1000 \: \: 0000$ $0000 \: \: 0001$ $0000 \: \: 0011$
makhdoom ghaya
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in
Analog and Digital Electronics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
analog-to-digital-converter
register
0
votes
0
answers
17
GATE Electrical 2015 Set 1 | Question: 39
The op-amp shown in the figure has a finite gain $A = 1000$ and an infinite input resistance. A step-voltage $V_{i} = 1 \: mV$ is applied at the input at time $t = 0$ as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage $V_{o}$ is $1001$ $101$ $11$ $1$
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in
Control Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
time-constant
operational-amplifier
0
votes
0
answers
18
GATE Electrical 2015 Set 1 | Question: 38
$f(A, B, C, D) = \pi M(0,1,3,4,5,7,9,11,12,13,14,15)$ is a maxterm representation of a Boolean function $f (A, B, C, D)$ where $A$ is the $MSB$ and $D$ is the $LSB$ ... $(B+\overline{C}+D) (A+\overline{B}+\overline{C}+D) (\overline{A}+B+C+D)$
makhdoom ghaya
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in
Analog and Digital Electronics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
logic-gates
boolean-algebra
0
votes
0
answers
19
GATE Electrical 2015 Set 1 | Question: 33
The single-phase full-bridge voltage source inverter (VSI), shown in figure, has an output frequency of $50 \: \text{ Hz}$. It uses unipolar pulse width modulation with switching frequency of $50$ kHz and modulation index of $0.7$. ... the amplitude of the fundamental component in the output voltage $V_{\text{o}}$ (in Volt) under steady-state is ________.
makhdoom ghaya
asked
in
Analog and Digital Electronics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
modulation-index
pulse-width-modulation
numerical-answers
0
votes
0
answers
20
GATE Electrical 2015 Set 1 | Question: 32
A self commutating switch $SW$, operated at duty cycle $\delta$ is used to control the load voltage as shown in the figure Under steady state operating conditions, the average voltage across the inductor and the capacitor respectively, are $V_{L}=0$ ... $V_{L}=\dfrac{\delta}{2}V_{dc}$ and $V_{c}=\dfrac{\delta}{1-\delta} V_{dc}$
makhdoom ghaya
asked
in
Analog and Digital Electronics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
duty-cycle
self-commutating-switch
1
vote
0
answers
21
GATE Electrical 2015 Set 1 | Question: 37
The figure shows a digital circuit constructed using negative edge triggered $J-K$ flip flops. Assume a starting state of $Q_{2}Q_{1}Q_{0}=000$. This state $Q_{2}Q_{1}Q_{0}=000$ will repeat after _______ number of cycles of the clock $CLK$.
makhdoom ghaya
asked
in
Analog and Digital Electronics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
flip-flops
latches
numerical-answers
0
votes
0
answers
22
GATE Electrical 2015 Set 1 | Question: 36
A parallel plate capacitor is partially filled with glass of dielectric constant $4.0$ as shown below. The dielectric strengths of air and glass are $30$ kV/cm and $300$ kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______.
makhdoom ghaya
asked
in
Electromagnetic Fields
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
dielectric
parallel-plate-capacitor
numerical-answers
0
votes
0
answers
23
GATE Electrical 2015 Set 1 | Question: 34
A $3$-phase $50$ Hz square wave ($6$-step) VSI feeds a $3$-phase, $4$ pole induction motor. The VSI line voltage has a dominant $5^{th}$ harmonic component. If the operating slip of the motor with respect to fundamental component voltage is $0.04$, the slip of the motor with respect to $5^{th}$ harmonic component of voltage is _________.
makhdoom ghaya
asked
in
Electrical Machines
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
harmonic
slip
numerical-answers
0
votes
0
answers
24
GATE Electrical 2015 Set 1 | Question: 31
The circuit shown is meant to supply a resistive load $R_{L}$ from two separate $DC$ voltage sources. The switches $S1$ and $S2$ are controlled so that only one of them is $ON$ at any instant. $S1$ is turned on for $0.2 ms$ ... inductor current and negligible ripple on the capacitor voltage, the output voltage $V_{0}$ (in Volt) across $R_{L}$ is _______.
makhdoom ghaya
asked
in
Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
ripple-voltages
time-period
numerical-answers
0
votes
0
answers
25
GATE Electrical 2015 Set 1 | Question: 35
Consider a discrete time signal given by $x[n]= (-0.25)^{n} u[n]+(0.5)^{n} u [-n-1]$ The region of convergence of its $Z$-transform would be The region inside the circle of radius $0.5$ and centered at origin The region ... origin The annular region between the two circles, both centered at origin and having radii $0.25$ and $0.5$ The entire $Z$ plane.
makhdoom ghaya
asked
in
Signals and Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
discrete-time-signal
convergence
0
votes
1
answer
26
GATE Electrical 2015 Set 1 | Question: 29
Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $A$ wins the game is $5/11$ $1/2$ $7/13$ $6/11$
makhdoom ghaya
asked
in
Probability & Statistics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
probability-and-statistics
probability
conditional-probability
0
votes
0
answers
27
GATE Electrical 2015 Set 1 | Question: 27
A solution of the ordinary differential equation $\dfrac{d^{2}y}{dt^{2}}+5\dfrac{dy}{dt}+6y=0$ is such that $y(0) = 2$ and $y(1)= -\dfrac{1-3e}{e^{3}}$. The value of $\dfrac{dy}{dt}(0)$ is _______.
makhdoom ghaya
asked
in
Differential Equations
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
differential-equations
ordinary-differential-equation
numerical-answers
0
votes
0
answers
28
GATE Electrical 2015 Set 1 | Question: 26
The maximum value of "a" such that the matrix $\begin{pmatrix} -3&0&-2 \\ 1&-1&0 \\ 0&a&-2 \end{pmatrix}$ has three linearly independent real eigenvectors is $\dfrac{2}{3\sqrt{3}} \\$ $\dfrac{1}{3\sqrt{3}} \\$ $\dfrac{1+2\sqrt{3}}{3\sqrt{3}} \\$ $\dfrac{1+\sqrt{3}}{3\sqrt{3}}$
makhdoom ghaya
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in
Linear Algebra
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
linear-algebra
matrices
eigen-values
eigen-vectors
0
votes
0
answers
29
GATE Electrical 2015 Set 1 | Question: 28
The signum function is given by $sgn(x)= \begin{cases} \dfrac{x}{ \mid x \mid }; x \neq 0& \\ 0;x=0& \end{cases}$ The Fourier series expansion of $sgn (\cos (t) )$ has Only sine terms with all harmonics. Only cosine terms with all harmonics. Only sine terms with even numbered harmonics. Only cosine terms with odd numbered harmonics.
makhdoom ghaya
asked
in
Signals and Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
signum-function
fourier-series-expansion
0
votes
0
answers
30
GATE Electrical 2015 Set 1 | Question: 25
For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function $\dfrac{Y(s)}{X_{2}(s)}\bigg \vert _{X_{1}(s)=0}$ ? $\dfrac{G_{1}}{1+G_{2}(1+G_{1})} \\$ $\dfrac{G_{2}}{1+G_{1}(1+G_{2})} \\$ $\dfrac{G_{1}}{1+G_{1}G_{2}} \\$ $\dfrac{G_{2}}{1+G_{1}G_{2}}$
makhdoom ghaya
asked
in
Control Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
signal-flow-graph
transfer-function
0
votes
0
answers
31
GATE Electrical 2015 Set 1 | Question: 24
A Bode magnitude plot for the transfer function $G(s)$ of a plant is shown in the figure. Which one of the following transfer functions best describes the plant? $\dfrac{1000(s+10)}{s+1000} \\$ $\dfrac{10(s+10)}{s(s+1000)} \\$ $\dfrac{s+1000}{10s(s+10)} \\$ $\dfrac{s+1000}{10(s+10)}$
makhdoom ghaya
asked
in
Control Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
bode-plot
stability
0
votes
0
answers
32
GATE Electrical 2015 Set 1 | Question: 19
For the given circuit, the Thevenin equivalent is to be determined. The Thevenin voltage, $V_{Th}$ (in Volt), seen from terminal $AB$ is __________.
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asked
in
Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
thevenin-voltage
dependent-sources
numerical-answers
0
votes
0
answers
33
GATE Electrical 2015 Set 1 | Question: 20
An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current $i$ is increased, the impedance $(Z)$ of the network varies as
makhdoom ghaya
asked
in
Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
current-storing-elements
voltage-storing-elements
0
votes
0
answers
34
GATE Electrical 2015 Set 1 | Question: 21
A separately excited $DC$ generator has an armature resistance of $0.1 \Omega$ and negligible armature inductance. At rated field current and rated rotor speed, its open-circuit voltage is $200 V$. When this generator is operated at half the rated speed, with ... capacitor is connected will the voltage across it reach $25 V$? $62.25$ $69.3$ $73.25$ $77.3$
makhdoom ghaya
asked
in
Electrical Machines
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
separately-excited
armature-terminals
0
votes
0
answers
35
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? $416$ $440$ $200$ $920$
makhdoom ghaya
asked
in
Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
self-inductance
sinusoidal-voltage-source
0
votes
0
answers
36
GATE Electrical 2015 Set 1 | Question: 23
The primary mmf is least affected by the secondary terminal conditions in a Power transformer. Potential transformer. Current transformer. Distribution transformer.
makhdoom ghaya
asked
in
Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
primary-mmf
turn-ratio
0
votes
0
answers
37
GATE Electrical 2015 Set 1 | Question: 30
An unbalanced $DC$ Wheatstone bridge is shown in the figure. At what value of $P$ will the magnitude of $V_{0}$ be maximum? $\sqrt{(1+x)}$ $(1+x)$ $1/\sqrt{(1+x)}$ $\sqrt{(1-x)}$
makhdoom ghaya
asked
in
Electric Circuits
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
wheatstone-bridge
voltage-divider
0
votes
0
answers
38
GATE Electrical 2015 Set 1 | Question: 13
Consider the circuit shown in the figure. In this circuit $R=1 k\Omega$, and $C=1 \mu F$. The input voltage is sinusoidal with a frequency of $50$ Hz, represented as a phasor with magnitude $V_{i}$ and phase angle $0$ radian as shown in the figure. The output ... to the phase angle of the input voltage? $0 \\$ $\pi \\$ $\dfrac{\pi}{2} \\$ $-\dfrac{\pi}{2}$
makhdoom ghaya
asked
in
Control Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
operational-amplifier
feedback-system
0
votes
0
answers
39
GATE Electrical 2015 Set 1 | Question: 15
In the $4 \times 1$ multiplexer, the output $F$ is given by $F = A \oplus B$. Find the required input $'I_{3}, I_{2}, I_{1}, I_{0}'$. $1010$ $0110$ $1000$ $1110$
makhdoom ghaya
asked
in
Analog and Digital Electronics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
multiplexer
boolean-algebra
0
votes
0
answers
40
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 $I = −1.5 \text{ kA}$
makhdoom ghaya
asked
in
Power Systems
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
hvdc-lines
power-flow-analysis
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