GATE EE 2019 Question Paper (09-Feb-2019) (Shift 2)

The Y${}_{bus}$ matrix of a two-bus power system having two identical parallel lines connected

between them in pu is given as Y_bus = ≤ft[ {*20c - j8&j20\\ j20& - j8 } ].

The magnitude of the series reactance of each line in pu (round off up to one decimal place) is ____________.

Five alternators each rated 5 MVA, 13.2 kV with 25% of reactance on its own base are connected in parallel to a busbar. The short-circuit level in MVA at the busbar is_________.

The total impedance of the secondary winding, leads, and burden of a 5 A CT is 0.01 Ω. If the fault current is 20 times the rated primary current of the CT, the VA output of the CT is ________.

The rank of the matrix, M = ≤ft[ {*20c 0&1&1\\ 1&0&1\\ 1&1&0 } ], is _________.

The output voltage of a single-phase full bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms component of output voltage to be 75% of DC voltage, the required pulse width in degrees (round off up to one decimal place) is __________.