GATE 2022 : Power System Quiz 3

The corona loss in a 50 Hz system is 0.2 kW/phase/km. The corona loss at a frequency of 70 Hz will be:

A single core cable has insulation resistance of 100 MΩ/km. The insulation resistance for 5 km length is

Minimum number of transmission lines are ________, if 150-bus system have Y_Bus with 90% sparsity.

A load of 10 MW at 0.8 power factor lagging is being supplied by a 3-phase transmission line having conductors each of resistance 1 Ω/km. The receiving end voltage is 132 kV. The losses in the transmission line is found to be 10% of load. Calculate the distance over which the load is supplied

A generator operating at 60Hz has inertia constant 8MW sec/MVA . The generator is connected to a infinite bus through a transmission line of j0.5 pu. The generated no load voltage is 1.2 pu and reactance is jo.2 pu. if the frequency of oscillations is 0.99Hz, the percentage loading of generator from its maximum loading capacity is (in %).

Consider a power system consisting of N number of buses. Buses in this power system are categorized into slack bus, PV buses and PQ buses for load flow study. The number of PQ buses is N_L. The balanced Newton-Raphson method is used to carry out load flow study in polar form. H, S, M, and R are sub-matrices of the Jacobian matrix J as shown below:

The dimension of the sub-matrix M is: