1
GATE EE 2018
Numerical
+1
-0.33
A 1000 $$ \times $$ 1000 bus admittance matrix for an electric power system has 8000 non-zero elements. The minimum number of branches (transmission lines and transformers) in this system are _____ (up to 2 decimal places).
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2
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 19 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
3
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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4
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A $$3$$-bus power system is shown in the figure below, where the diagonal elements of $$Y$$-bus matrix are: $${Y_{11}} = - j12\,pu,\,\,\,{Y_{22}} = - j15\,pu\,\,$$ and $$\,{Y_{33}} = - j7\,pu.$$ GATE EE 2017 Set 1 Power System Analysis - Load Flow Studies Question 20 English

The per unit values of the line reactance's $$p, q$$ and $$r$$ shown in the figure are

A
$$p = - 0.2,\,\,q = - 0.1,\,\,r = - 0.5$$
B
$$p = 0.2,\,\,q = 0.1,\,\,r = 0.5$$
C
$$p = - 5,\,\,q = - 10,\,\,r = - 2$$
D
$$p = 5,\,\,q = 10,\,\,r = 2$$
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