List of top Power Systems Questions asked in GATE EE

Two generators have cost functions with incremental-cost characteristics: 
\[ \frac{dF_1}{dP_1} = 40 + 0.2 P_1, \frac{dF_2}{dP_2} = 32 + 0.4 P_2 \] They must supply a total load of 260 MW. Find the optimal generation (economic dispatch) ignoring losses. 
 

Suppose \(I_A, I_B\) and \(I_C\) are a set of unbalanced current phasors in a three-phase system. The phase-B zero-sequence current is \(I_{B0} = 0.1\angle 0^\circ\) p.u. If the phase-A current \(I_A = 1.1\angle 0^\circ\) p.u and phase-C current \(I_C = (1\angle 120^\circ + 0.1)\) p.u, then \(I_B\) in p.u is
The dimension of the sub-matrix $M$ in the Newton-Raphson Jacobian is \(\underline{\hspace{2cm}}\).