1
GATE EE 2018
+1
-0.33
Consider a lossy transmission line with V1 and V2 as the sending and receiving end voltages, respectively. Z and X are the series impedance and reactance of the line, respectively. The steady-state stability limit for the transmission line will be
A
greater than $$\left| {{{{V_1}{V_2}} \over X}} \right|$$
B
less than $$\left| {{{{V_1}{V_2}} \over X}} \right|$$
C
equal to $$\left| {{{{V_1}{V_2}} \over X}} \right|$$
D
equal to $$\left| {{{{V_1}{V_2}} \over Z}} \right|$$
2
GATE EE 2018
+2
-0.67
The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, P = 1.4 sin $$\delta$$ + 0.15 sin 2$$\delta$$, where $$\delta$$ is the load angle. Newton-Raphson method is used to calculate the value of $$\delta$$ for P = 0.8 pu. If the initial guess is $$30^\circ$$, then its value (in degree) at the end of the first iteration is
A
$$15^\circ$$
B
$$28.48^\circ$$
C
$$31.20^\circ$$
D
$$28.74^\circ$$
3
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).
4
GATE EE 2018
+1
-0.3
Functions F(a, b) and G(a, b) are defined as follows:
F(a, b) = (a - b)2 and G(a, b) = |a - b| , where |x| represents the absolute value of x.
What would be the value of G(F(1, 3), G(1, 3))?
A
2
B
4
C
6
D
36
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