$${v_1}\left( t \right) = 100\cos \left( {\omega t} \right)$$
$${v_2}\left( t \right) = 100\cos \left( {\omega t + {\pi \over {18}}} \right)$$
and $${v_3}\left( t \right) = 100\cos \left( {\omega t + {\pi \over {36}}} \right)$$.
The circuit is in sinusoidal steady state, and R << $${\omega L}$$.
P1, P2 and P3 are the average power outputs. Which one of the following statements is true?
A
P1 = P2 = P3 = 0
B
P1 < 0, P2 > 0, P3 > 0
C
P1 < 0, P2 > 0, P3 < 0
D
P1 > 0, P2 < 0, P3 > 0
2
GATE EE 2018
MCQ (Single Correct Answer)
+2
-0.67
Consider the two bus power system network with given loads as shown in the figure. All
the values shown in the figure are in per unit. The reactive power supplied by generator G1
and G2 are QG1 and QG2 respectively. The per unit values of QG1, QG2, and line reactive
power loss (Qloss) respectively are
A
5. 00, 12.68, 2.68
B
6.34, 10.00, 1.34
C
6.34, 11.34, 2.68
D
5.00, 11.34, 1.34
3
GATE EE 2018
Numerical
+1
-0.33
The series impedance matrix of a short three-phase transmission line in phase coordinates is
$$\left[ {\matrix{
{{Z_s}} & {{Z_m}} & {{Z_m}} \cr
{{Z_m}} & {{Z_s}} & {{Z_m}} \cr
{{Z_m}} & {{Z_m}} & {{Z_s}} \cr
} } \right]$$.
If the positive sequence impedance is (1 + 𝑗 10) $$\Omega $$, and the zero
sequence is (4 + 𝑗 31) $$\Omega $$, then the imaginary part of Zm (in $$\Omega $$) is ______(up to 2 decimal
places).
Your input ____
4
GATE EE 2018
MCQ (Single Correct Answer)
+2
-0.67
The positive, negative and zero sequence impedances of a three phase generator are Z1, Z2
and Z0 respectively. For a line-to-line fault with fault impedance Zf, the fault current
is If1 = kIf, where If is the fault current with zero fault impedance. The relation between
Zf and k is
