Electrical Engineering: Power system MCQ

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 for m. H, S, M , and R are sub-matrices of the Jacobian matrix J as
shown below

The dimensions of the sub-matrix is

The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the RMS value of the full-wave rectified waveform to the RMS value of the clipped waveform is ._____

(Round off to 2 decimal places.)

Only one of the real roots of f(x) = x⁶ -x -1 lies in the interval 1 ≤ x ≤ 2 and bisection method is used to find its value. For achieving an accuracy of 0.001, the required minimum number of iterations is __________. 

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are: Y11 = -j12 pu, Y22 = -j15 pu and Y33 = -j7 pu. 

The per unit values of the line reactances p, q and r shown in the figure are

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 ___________.