# GATE 2016 E E – SET -2 Question 14

Total number of buses = 100

Number of generator buses (n) = 10

Number of load buses (m) = 100 – 10 = 90  [Since, Total buses = Generator buses + Load buses]

Size of Jacobian matrix is given by the formula, [2m + (n-1)][2m + (n-1)]

$$\Rightarrow [2(90)+(10-1)][2(90)+(10-1)]$$

$$\Rightarrow 189 \times 189$$