EE GATE 2011 - Online Test

Q1.
Two generator units G1 and G2 are connected by 15 kV line with a bus at the mid-point as shown below.

G1 = 250 MVA, 15kV, positive sequence reactance X = 25% on its own base
G2 = 100 MVA, 15kV, positive sequence reactance X = 10 % on its own base
L1 and L2 = 10km, positive sequence reactance X = 0.225 Ω / km
For the above system, the positive sequence diagram with the p.u values on the MVA common base is
Answer : Option A
Explaination / Solution:



Q2. A zero mean random signal is uniformly distributed between limits –a and +a and its mean square value is equal to its variance. Then the r.m.s value of the signal is
Answer : Option A
Explaination / Solution:



Q3. The direct axis and quadrature axis reactance’s of a salient pole alternator are 1.2p.u and 1.0p.u respectively. The armature resistance is negligible. If this alternator is delivering rated kVA at upf and at rated voltage then its power angle is
Answer : Option B
Explaination / Solution:



Q4.
A three – bus network is shown in the figure below indicating the p.u. impedances of each element.

The bus admittance matrix, Y – bus, of the network is
Answer : Option B
Explaination / Solution:



Q5. A two loop position control system is shown below

The gain k of the Tacho-generator influences mainly the
Answer : Option A
Explaination / Solution:



Q6.
Two generator units G1 and G2 are connected by 15 kV line with a bus at the mid-point as shown below.

G1 = 250 MVA, 15kV, positive sequence reactance X = 25% on its own base
G2 = 100 MVA, 15kV, positive sequence reactance X = 10 % on its own base
L1 and L2 = 10km, positive sequence reactance X = 0.225 Ω / km
In the above system, the three-phase fault MVA at the bus 3 is
Answer : Option A
Explaination / Solution:



Q7. The response h(t) of a linear time invariant system to an impulse δ(t) , under initially relaxed condition is  The response of this system for a unit step input u(t) is 
Answer : Option C
Explaination / Solution:



Q8. The input voltage given to a converter is
The current drawn by the converter is 

The input power factor of the converter is
Answer : Option C
Explaination / Solution:



Q9.
A solar energy installation utilize a three – phase bridge converter to feed energy into power system through a transformer of 400V/400 V, as shown below.

The energy is collected in a bank of 400 V battery and is connected to converter through a large filter choke of resistance 10Ω.
The maximum current through the battery will be
Answer : Option A
Explaination / Solution:



Q10. The input voltage given to a converter is
The current drawn by the converter is 

The active power drawn by the converter is
Answer : Option B
Explaination / Solution: