GATE EE 2014 Question Paper (02-Mar-2014) (Shift 1)

There are two generators in a power system. No-load frequencies of the generators are 51.5 Hz and 51 Hz, respectively, and both are having droop constant of 1 Hz/MW. Total load in the system is 2.5 MW. Assuming that the generators are operating under their respective droop characteristics, the frequency of the power system in Hz in the steady state is _____

The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free space is 8.854 × 10⁻¹² F/m. The capacitance to ground per kilometer of each line is

A three phase, 100 MVA, 25kV generator has solidly grounded neutral. The positive, negative, and the zero sequence reactances of the generator are 0.2 pu, 0.2 pu, and 0.05 pu, respectively, at the machine base quantities. If a bolted single phase to ground fault occurs at the terminal of the unloaded generator, the fault current in amperes immediately after the fault is________.

A system with the open loop transfer function

$G\left(s\right)=\frac{K}{s\left(s+2\right)\left(s^2+2s+2\right)}$

is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of K is ______

For the transfer function, $G\left(s\right)=\frac{5\left(s+4\right)}{s\left(s+0.25\right)\left(s^2+10s+25\right)}$, the values of the constant gain term and the highest corner frequency of the Bode plot respectively are: