A 12 bus power system has 3 voltage-controlled buses. The dimensi
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A 12 bus power system has 3 voltage-controlled buses. The dimensions of the Jacobian matrix will be
A. 21 × 21
B. 21 × 19
C. 19 × 21
D. 19 × 19
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
The order of the Jacobian matrix (with one slack bus) = (2n – 2 – m) × (2n – 2 – m)
where n = number of buses = 12
m = number of buses whose voltage magnitude is specified = 3
The order of the Jacobian matrix (with one slack bus) = (24 – 2 – 3) × (24 – 2 – 3) = 19 × 19