GATE EE 2012 Question Paper (12-Feb-2012) (Shift 2)

The figure shows a two – generator system applying a load of P${}_D$ = 40 MW, connected at bus 2.



The fuel cost of generators G₁ and G₂ are :

C₁(P${}_{G1}$) = 10000 Rs/MWh and C₂(P${}_{G2}$) = 12500 Rs/MWh and the loss in the line is

$P_{loss\left(Pu\right)}=0.5P_{G1\left(Pu\right)}^2$, Where the loss coefficient is specified in pu on a 100 MVA base. The most economic power generation schedule in MW is

The sequence components of the fault current are as follows: I ${}_{positive}$ = j 1.5 pu, I ${}_{negative}$ = - j 0.5 pu, I ${}_{zero}$ = -j1pu. The type of fault in the system is

A half controlled single phase bridge rectifier is supplying on R-L load. If it is operated at a firing angle α and the load current is continuous. The fraction of the cycle freewheeling diode conducts is

The typical ratio of latching current to holding current in a 20 A thyristor is

For the circuit shown in the figure, the voltage and current expressions are

v(t) = E₁sin(ωt) + E₃sin(3ωt) and i(t) = I₁sin(ωt - Φ₁) + I₃sin(3ωt - Φ₃) + I₅sin(5ωt)

The average power measured by the Wattmeter is