PYQs Based test 13: Power Systems

In the figure shown, self-impedances of the two transmission lines are 1.5j p.u. each, and Z${}_m$ = 0.5j p.u. is the mutual impedance. Bus voltages shown in the figure are in p.u. Given that δ > 0, the maximum steady-state real power that can be transferred in p.u. from Bus-1 to Bus-2 is

A $30MVA$, 3-phase, $50Hz,13.8kV$, star-connected synchronous generator has positive, negative and zero sequence reactances, $15\%,15\%and5\%$ respectively. A reactance ($X_n$) is connected between the neutral of the generator and ground. A double line to ground fault takes place involving phases ${}^{\prime }{b}^{\prime }and{}^{\prime }{c}^{\prime }$, with a fault impedance of $j0.1p.u.$ The value of $X_n$ (in $p.u.$) that will limit the positive sequence generator current to $4270A$ is _________.

Consider the two-bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by generator G₁ and G₂ are Q${}_{G1}$ and Q${}_{G2}$ respectively. The per unit values of Q${}_{G1}$, Q${}_{G2}$, and line reactive power loss (Qₗₒₛₛ) respectively are

A sustained three phase fault occurs in the power system shown in the figure. The current and voltage phasors during the fault (on a common reference), after the natural transients have died down, are also shown. Where is the fault located?

A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator-bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage-controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is ___________.