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2. Two generators Gand G are supplying a motor M through transformers and a transmission line as shown in the one line diagram of
2. Two generators Gand G are supplying a motor M through transformers and a transmission line as shown in the one line diagram of Figure Q2. The system is three phase and the transmission line impedance X is 30 Q. System parameters are listed in the following table: Component Rated power Generator G 200 MVA Rated voltage 20 kV reactance XGI = 20% Generator G 150 MVA 20 kV XG2 = 20% Motor M 150 MVA 13.2 kV XM = 20% Transformer T 350 MVA 230/20 kV X7 = 10% Transformer T 200 MVA 220/13.2 kV XT2 = 10 % (a) Draw the reactance diagram with all impedances marked as per unit. Select the rating of generator G, as base. (b) If motor M consumes 60 MW at 13.2 kV and a unity power factor, find the voltage at the terminal of the generators in per unit. (c) If a three-phase symmetrical short circuit occurs at the mid- point of the transmission line, find the motor fault current in amps. (20 marks) (15 marks) (15 marks) G (20 kV) T Transmission line T (13.8 kV) M (230 kV) G Figure Q2
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