1
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
Three generators are feeding a load of $$100$$ $$MW$$. The details of the generators Rating, Efficiency and Regulation are shown below GATE EE 2009 Power System Analysis - Power Generation Cost Question 13 English

In the event of increased load power demand, which of the following will happen?

A
All the generators will share equal power
B
Generator-$$3$$ will share more power compared to Generator-$$1$$
C
Generator-$$1$$ will share more power compared to Generator-$$2$$
D
Generator-2 will share more power compared to Generator-$$3$$
2
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
For the $${Y_{bus}}$$ matrix of a $$4$$-bus system given in per unit, the buses having shunt elements are $$${Y_{BUS}} = j\left[ {\matrix{ { - 5} & 2 & {2.5} & 0 \cr 2 & { - 10} & {2.5} & 4 \cr {2.5} & {2.5} & { - 9} & 4 \cr 0 & 4 & 4 & { - 8} \cr } } \right]$$$
A
$$3$$ and $$4$$
B
$$2$$ and $$3$$
C
$$1$$ and $$2$$
D
$$1,2$$ and $$4$$
3
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
Match the items in List-$$I$$ (Type of transmission line) with the items in List-$$II$$ (Type of distance relay preferred) and select the correct answer using the codes below the lists.

List-$$I$$
$$A.$$ Short Line
$$B.$$ Mesium Line
$$C.$$ Long Line

List-$$II$$
$$1.$$ Ohm Relay
$$2.$$ Reactance Relay
$$3.$$ Mho Relay

A
$$A = 2,\,\,B = 1,\,\,C = 3$$
B
$$A = 3,\,\,B = 2,\,\,C = 1$$
C
$$A = 1,\,\,B = 2,\,\,C = 3$$
D
$$A = 1,\,\,B = 3,\,\,C = 2$$
4
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
The Fourier Series coefficients, of a periodic signal $$x\left( t \right),$$ expressed as $$x\left( t \right) = \sum {_{k = - \infty }^\infty {a_k}{e^{j2\pi kt/T}}} $$ are given by
$${a_{ - 2}} = 2 - j1;\,\,{a_{ - 1}} = 0.5 + j0.2;\,\,{a_0} = j2;$$
$${a_1} = 0.5 - j0.2;\,\,{a_2} = 2 + j1;\,\,$$ and
$${a_k} = 0;$$ for $$|k|\,\, > 2.$$

Which of the following is true?

A
$$x(t)$$ has finite energy because only finitely many coefficients are non $$-$$ zero
B
$$x(t)$$ has zero average value because it is periodic
C
the imaginary part of $$x(t)$$ is constant
D
The real part of $$x(t)$$ is even