GATE 2026 Electrical Engineering Q18

Question

Consider a power system with N buses, of which P are generator buses and the remaining Q are load buses (where there is no generation).
Assume that there are no reactive power-limit violations at the generator buses.
What is the size of the Jacobian matrix in the Newton-Raphson load flow method?

Accepted Answer

(2N - 1 - P) × (2N - 1 - P)

Answer

2N × 2N

Answer

(2N - Q) × (2N - Q)

Answer

(P + Q) × (P + Q)