GO Electrical
0 votes

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. $\text{H, S, M, and R}$ are sub-matrices of the Jacobian matrix $J$ as shown below:

$\begin{bmatrix} \Delta P\\ \Delta Q \end{bmatrix}=J\begin{bmatrix} \Delta \delta \\ \Delta V \end{bmatrix}, \text{where}\: J=\begin{bmatrix} H & S\\ M &R \end{bmatrix}$

The dimension of the sub-matrix $M$ is 

  1. $N_{L}\times \left ( N-1 \right )$
  2. $\left ( N-1 \right )\times \left ( N-1-N_{L} \right )$
  3. $N_{L}\times \left ( N-1+N_{L} \right )$
  4. $\left ( N-1 \right )\times \left ( N-1+N_{L} \right )$
in new by (7.8k points)
edited by

Please log in or register to answer this question.

Welcome to GATE Overflow, Electrical, where you can ask questions and receive answers from other members of the community.
979 questions
72 answers
28,063 users