(Solved): A three phase system has a single line diagram as shown. All impedances are based on the equipment ...

A three phase system has a single line diagram as shown. All impedances are based on the equipment own rating. For this system, a) Draw impedance diagram in p.u. on base $$100\mathrm{MVA},22\mathrm{kV}/220\mathrm{kV}/110\mathrm{kV}/11\mathrm{kV}$$ b) Determine voltage at bus 1 (generator terminals) $${\mathrm{V}}_{\mathrm{gt}}$$ in $$p.u$$ and in $$\mathrm{kV}$$ c) Determine generator internal voltage $${\mathrm{V}}_{\mathrm{g}}$$ in $$\mathrm{p}.\mathrm{u}$$ and in $$\mathrm{kV}$$ Generator: $$90\mathrm{MVA},22\mathrm{kV},\mathrm{X}=\mathrm{j}0.18\mathrm{p}.\mathrm{u}$$. Transformer 1: $$50\mathrm{MVA},22\mathrm{kV}/220\mathrm{kV},\mathrm{X}=\mathrm{j}0.1$$ p.u. Transformer 2: 40MVA, $$220\mathrm{kV}/11\mathrm{kV},\mathrm{X}=\mathrm{j}0.06\mathrm{p}.\mathrm{u}$$. Transformer 3: 40MVA, $$22\mathrm{kV}/110\mathrm{kV},\mathrm{X}=j0.064\mathrm{p}.\mathrm{u}$$. Transformer 4: 40MVA, $$120\mathrm{kV}/12\mathrm{kV},\mathrm{X}=\mathrm{j}0.08\mathrm{p}$$.u. $$220\mathrm{kV}$$ line: $$Z=j80?$$ $$110\mathrm{kV}$$ line: $$Z=j100?$$