Question No$.(1)$:

$(35$ Degree$)$

For the system of Fig. $1.$ All the shunt elements are capacitors with admittance $\backslash (\backslash$mathrm$\{$yc$\}/2=\backslash$mathbf$\{$j$\}0\mathrm{.}01\backslash ),$ while all the series elements are inducrors with impedance $\backslash (\backslash$mathrm$\{$zL$\}=\backslash$mathrm$\{$j$\}0\mathrm{.}1\backslash ).$

Fig. $1$

QX$)$ Deduce the relations that are required for admittance matrix calculations

B$)$ Deduce the relations that are required for voltage calculations at all buses of this system by the NR method.

c$)$ Mention the steps that required for voltage calculations at all buses by the NR method

b$)$ Give the numerical value of the admittance matrix of this system.

D$5)$ Give the numerical values of all the states$($ unknown voltages and their angles$)$ FIRST ITERATIN BY NR

F$)$ Give the numerical values of generated reactive power at bus$2$ to maintain its voltage to V$105$PU$.$