GATE EE 2016 Question Paper (07-Feb-2016) (Shift 2)

In the balanced 3-phase, 50Hz, the circuit is shown below, the value of inductance (L) is 10mH. The value of the capacitance (C) for which all the line currents are zero, in mF, is ___________.

In the circuit shown below, the initial capacitor voltage is 4V. Switch S₁ is closed at t = 0. The charge (in μC) lost by the capacitor from t = 25 μs to t = 100 μs is ____________.

The single line diagram of a balanced power system is shown in the figure. The voltage magnitude at the generator internal bus is constant and $1.0p.u.$ The $p.u.$ reactances of different components in the system are also shown in the figure. The infinite bus voltage magnitude is $1.0p.u.$ A three phase fault occurs at the middle of line 2.

The ratio of the maximum real power that can be transferred during the pre-fault condition to the maximum real power that can be transferred under the faulted condition is _________.

The open loop transfer function of a unity feedback control system is given by

$G\left(s\right)=\frac{K\left(s+1\right)}{s\left(1+Ts\right)\left(1+2s\right)},K>0,T>0.$

The closed loop system will be stable if,

At no-load condition, a 3-phase, 50 Hz, lossless power transmission line has sending-end and receiving-end voltages of 400 kV and 420 kV respectively. Assuming the velocity of traveling wave to be the velocity of light, the length of the line, in km, is ____________.