(Solved): The single-line diagram of a simple three-phase balanced power system with the components ratings i ...

The single-line diagram of a simple three-phase balanced power system with the components ratings is shown in the figure below: \[ \begin{array}{c} 400 \mathrm{MVA} \\ 13.8 / 132 \mathrm{KV} \\ \mathrm{x}_{1}=10 \% \end{array} \] The load at D is \( 400 \mathrm{MVA} \) at \( 30 \mathrm{kV} \) and \( 0.8 \) p.f. lagging. Choose a base of \( 500 \mathbf{M V A} \) and \( \mathbf{3 3 k V} \) at the load circuit. (a) Determine the per-unit quantities and draw the per unit impedance diagram for this system. (6 marks) (b) Calculate the line voltage (in \( \mathrm{kV} \) ) at bus \( \mathrm{B} \) and the complex power at the sending end of the transmission line. (4 marks)