Consider a power system as shown in the Figure below. The manufacturers data, the line and load details are indicated in the Table below. Transmission lines $1$ and $2$ have impedances of j$50$ and j$20,$ respectively. By choosing a common base of $120$ MVA and $11$ kV on the generators side, determine:

a$.$ all the reactances in per unit and draw the reactance diagram.

ELEG $330-$ Power System Analysis

b$.$ If the motor M operates at $80$ MVA at $0\mathrm{.}9$ pf leading at a terminal voltage of $10\mathrm{.}5$ kV and the load is $70$ MVA at $0\mathrm{.}6$ p$.$f$.$ lagging, determine the Bus $1$ voltage.

$\backslash$table$[[$Equipment$,$Power Rating $($MVA$),$Voltage $($kV$),$Reactance$],[G_1,80,11,18\%$