1
GATE EE 2014 Set 3
Numerical
+2
-0
The complex power consumed by a constant-voltage load is given by $$\left( {{P_1} + {J_{q1}}} \right).\,\,$$ Where, $$\,1\,\,kW \le \,\,{P_1} \le \,\,\,1.5\,\,kW\,\,\,$$ and $$\,\,0.5\,KVAR \le \,\,\,{Q_1} \le 1kVAR.\,\,\,$$ A compensating shunt capacitor is chosen such that $$\,\left| Q \right| \le 0.25\,\,KVAR,\,\,$$ where $$Q$$ is the net reactive power consumed by the capacitor-load combination. The reactive power (in kVAR) supplied by the capacitor is ____________.
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2
GATE EE 2014 Set 3
Numerical
+2
-0
The figure shows the single line diagram of a single machine infinite bus system. GATE EE 2014 Set 3 Power System Analysis - Power System Stability Question 14 English

The inertia constant of the synchronous generator $$𝐻 = 5$$ $$MW-s/MVA.$$ Frequency is $$50Hz.$$ Mechanical power is $$1$$ pu. The system is operating at the stable equilibrium point with rotor angle $$\delta $$ equal to $${30^ \circ }$$. A three phase short circuit fault occurs at a certain location on one of the circuits of the double circuit transmission line. During fault, electrical power in pu is $$\,{P_{\max }}\,\,\sin \delta .\,\,\,$$. If the values of $$\delta $$ and $$d$$$$\delta $$$$/dt$$ at the instant of fault clearing are $${45^ \circ }$$ and $$3.762$$ radian/s respectively, then $$\,{P_{\max }}$$ (in pu) is _________.

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3
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
For a fully transposed transmission line
A
Positive, negative and zero sequence impedances are equal.
B
Positive and negative sequence impedances are equal
C
Zero and positive sequence impedances are equal
D
Negative and zero sequence impedances are equal.
4
GATE EE 2014 Set 3
Numerical
+1
-0
A 183-bus power system has 150PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ___________.
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