(Solved): [25 Marks] The \( Y_{\text {BUS }} \) matrix of a 3-bus system is given by: \[ \left[\begin{array} ...

[25 Marks] The \( Y_{\text {BUS }} \) matrix of a 3-bus system is given by: \[ \left[\begin{array}{ccc} 7+j(-12) & -4+j(6) & -3+j(6) \\ -4+j(6) & 6+j(-14) & -2+j(8) \\ -3+j(6) & -2+j(8) & 5+j(-14) \end{array}\right] \] The specifications of the buses are given in the Table. (all values are in pu on a common base) (i) [9 marks] Write down the following initial values in pu assuming a flat start. [1 mark] \( \left|V_{1}\right|=\quad \quad \mathrm{pu} \) [1 mark] \( V_{1} \) angle \( =\quad \operatorname{deg} \) [1 mark] \( \left|V_{2}\right|=\quad \) pu [1 mark] \( V_{2} \) angle \( =\quad \operatorname{deg} \) [1 mark] \( \left|V_{3}\right|=\quad \quad \) pu [1 mark] \( V_{3} \) angle \( =\quad \operatorname{deg} \) \( \left[1\right. \) mark] \( P_{2}=\quad \) pu \( \left[1\right. \) mark] \( P_{3}=\quad \quad \) pu \( \left[1\right. \) mark] \( Q_{3}=\quad \) pu