1
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+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. GATE EE 2017 Set 2 Power System Analysis - Load Flow Studies Question 22 English
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 ________.
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3
GATE EE 2017 Set 2
Numerical
+2
-0
A 3-phase 50 Hz generator supplies power of 3 MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25 $$\Omega $$ and 3.925 $$\Omega $$ respectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.
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4
GATE EE 2017 Set 2
Numerical
+1
-0
The normal - $$\pi $$ circuit of a transmission line is shown in the figure. GATE EE 2017 Set 2 Power System Analysis - Parameters and Performance of Transmission Lines Question 62 English

Impedance $$Z = 100\angle {80^ \circ }$$ and reactance $$\,X = 3300\Omega .$$ The magnitude of the characteristic impedance of the transmission line, in $$\Omega ,$$ is ________. (Give the answer up to one decimal place.)

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