(Solved): A 300-MVA, 20-KV three phase generator has a transient reactance \( \mathrm{CO} 2 \mathrm{C} 4[1 ...

A 300-MVA, 20-KV three phase generator has a transient reactance \( \mathrm{CO} 2 \mathrm{C} 4[10.0] \) of \( 12 \% \). The generator supplies two synchronous motor over a \( 60 \mathrm{~km} \) transmission line having transformers at both ends, as shown in figure. The ratings of all the equipment are- \( T_{1}: 350 \mathrm{MVA}, 230 \mathrm{kV} / 20 \mathrm{kV}, \mathrm{X}_{\mathrm{di}-1}=12 \% \) \( \mathrm{T}_{2}: 110 \mathrm{MVA}, 127 \mathrm{kV} / 13.2 \mathrm{kV}, \mathrm{X}_{\mathrm{d}} .2=13 \% \) (Single phase rating) \( M_{1}: 250 \mathrm{MVA}, 13.2 \mathrm{kV}_{+} \mathrm{X}_{\mathrm{dM}-1}=12 \% \) \( \mathrm{M}_{2}: 150 \mathrm{MVA}, 13.2 \mathrm{kV}, \mathrm{X}_{\mathrm{aM} \cdot 2}=18 \% \) Line: \( 0.8 \Omega / \mathrm{km} \). Sketch the reactance diagram with all reactance in per unit. (Select generator rating as base in the generator circuit). If the motors are drawing 100 and \( 50 \mathrm{MW} \) respectively at \( 13 \mathrm{kV} \) and both operate at unity power factor. Find the voltage at the terminals of the generator and the voltage regulation of the line