Q$1.$ Calculate diagonal elements of $Y_{\text{b}\text{u}\text{s}}$ matrix for the system shown in Figure Q$1.$ The following parameters are known:

Line series impedance per unit length: $z=(0\mathrm{.}03+j1\mathrm{.}2)*{10}^{-3}p\frac{u}{k}m$

Line shunt admittance per unit length: $y=j0\mathrm{.}09*{10}^{-3}p\frac{u}{k}m$

Shunt impedance at bus B: $Z_B=j3\mathrm{.}6pu$

Note: Take into consideration the length of each line to select the appropriate line model.