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

A resistance and a coil are connected in series and supplied from a single phase, 100 V, 50 Hz ac source as shown in the figure below. The rms values of possible voltages across the resistance and coil respectively, in volts, are

The voltage 'V' and current 'A' across a load are as follows.

V(t) = 100 sin(ωt)

i(t) = 10 sin(ωt - 60°) + 2 sin(3ωt) + 5 sin(5ωt)

The average power consumed by the load, in W, is___________.

A power system with two generators is shown in the figure below. The system (generators, buses and transmission lines) is protected by six overcurrent relays R ₁ to R ₆. Assuming a mix of directional and non-directional relays at appropriate locations, the remote backup relays for R ₄ are

A power system has 100 buses including 10 generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian is

The inductance and capacitance of a $400kV$, three-phase, $50Hz$ lossless transmission line are $1.6mH/km/phase$ and $10nF/km/phase$ respectively. The sending end voltage is maintained at $400kV$. To maintain a voltage of $400kV$ at the receiving end, when the line is delivering $300MW$ load, the shunt compensation required is