1
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A 2-bus system and corresponding zero sequence network are shown in the figure. GATE EE 2014 Set 1 Power System Analysis - Symmetrical Components and Symmetrical and Unsymmetrical Faults Question 35 English

The transformers T1 and T2 are connected as

A
GATE EE 2014 Set 1 Power System Analysis - Symmetrical Components and Symmetrical and Unsymmetrical Faults Question 35 English Option 1
B
GATE EE 2014 Set 1 Power System Analysis - Symmetrical Components and Symmetrical and Unsymmetrical Faults Question 35 English Option 2
C
GATE EE 2014 Set 1 Power System Analysis - Symmetrical Components and Symmetrical and Unsymmetrical Faults Question 35 English Option 3
D
GATE EE 2014 Set 1 Power System Analysis - Symmetrical Components and Symmetrical and Unsymmetrical Faults Question 35 English Option 4
2
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
In an unbalanced three phase system phase current $${{\rm I}_a} = 1\angle \left( { - {{90}^0}} \right)\,\,pu,\,\,$$ negative sequence current $$\,{{\rm I}_{b2}} = 4\angle \left( { - {{150}^0}} \right)\,\,pu,\,\,$$ zero sequence current $$\,\,{{\rm I}_{c0}} = 3\angle {90^0}\,\,pu.\,\,\,$$ The magnitude of phase current $${{\rm I}_b}$$ in $$pu$ is
A
$$1.00$$
B
$$7.81$$
C
$$11.53$$
D
$$13.00$$
3
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The fuel cost functions of two power plants are
Plant $${P_1}:\,{C_1} = 0.05\,Pg_1^2 + AP{g_1} + B$$
Plant $${P_2}:\,{C_2} = 0.10\,Pg_2^2 + 3AP{g_2} + 2B$$
Where, $$P{g_1}$$ and $$P{g_2}$$ are the generator powers of two plants and $$A$$ and $$B$$ are the constants. If the two plants optimally share $$1000$$ $$MW$$ load at incremental fuel cost of $$100$$ $$Rs/MWh,$$ the ratio of load shared by plants $${P_1}$$ and $${P_2}$$ is
A
$$1:4$$
B
$$2:3$$
C
$$3:2$$
D
$$4:1$$
4
GATE EE 2014 Set 1
Numerical
+2
-0
The over current relays for the line protection and loads connected at the buses are shown in the figure. GATE EE 2014 Set 1 Power System Analysis - Switch Gear and Protection Question 6 English

The relays are IDMT is natural having the characteristic
$${t_{op}} = {{0.14\, \times \,time\,\,multiplier\,\,setting} \over {{{(plug\,\,setting\,\,multiplier)}^{0.02}} - 1}}$$
The maximum and minimum fault current at bus $$B$$ are $$2000A$$ and $$500$$ $$A$$ respectively. Assuming the time multiplier setting and plug setting for relay $${R_B}$$ to be $$0.1$$ and $$5$$ $$A$$ respectively, the operating time of $${R_B}$$ (in seconds) is __________.

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