1
GATE EE 2017 Set 2
+1
-0.3
The figure show the per-phase representation of a phase-shifting transformer connected between buses $$1$$ and $$2,$$ where $$\alpha$$ is a complex number with non-zero real and imaginary parts. For the given circuit, $${Y_{bus}}$$ and $${Z_{bus}}$$ are bus admittance matrix and bus impedance matrix, respectively, each of size $$2\, \times \,2$$. Which one of the following statements is true?
A
Both $${Y_{bus}}$$ and $${Z_{bus}}$$ are symmetric
B
$${Y_{bus}}$$ is symmetric and $${Z_{bus}}$$ is unsymmetric
C
$${Y_{bus}}$$ is unsymmetric and $${Z_{bus}}$$ is symmetric
D
Both $${Y_{bus}}$$ and $${Z_{bus}}$$ are unsymmetric
2
GATE EE 2017 Set 2
Numerical
+1
-0
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is $$\,100\,\, \times \,\,100.$$ If there are $$20$$ PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.
3
GATE EE 2017 Set 2
+2
-0.6
The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is A
1000 samples/s
B
1500 samples/s
C
2000 samples/s
D
3000 samples/s
4
GATE EE 2017 Set 2
+1
-0.3
The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below. Which one of the following is TRUE about the frequency selectivity of these systems?
A
All three are high-pass filters.
B
All three are band-pass filters.
C
All three are low-pass filters.
D
P is a low-pass filter, Q is a band-pass filter and R is a high-pass filter.
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