The small system shown in Figure 2 is being analysed by performing hand calculations using the Fast Decoupled Power Flow approach. The system has the following parameters (per unit quantities are given on a 100 MVA base): Z_{12}=j 0.5 \text { p.u. } \quad Z_{13}=j 0.25 \text { p.u. } \quad Z_{23}=j 0.625 \text { p.u. } S_{2}^{L}=180+j 50 \text { MVA } \quad S_{3}^{L}=300+j 60 \text { MVA } \quad V_{1}=1.00 \text { p.u. } \theta_{1}=0^{\circ} Form the Y-bus matrix of the system. 1 mark )Evaluate the numerical form of the Jacobian. 1 mark

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