Question

#1(i) For the one line 3-phse power system shown in Fig.1, show that the real power, P in per unit, delivered to bus-2 by the generator, is P = (I Egl IVrl sin δ)/(Xg + Xr), where Eg, is the generated voltage of the alternator in per unit and Xg its synchronous reactance in per unit, V, is the bus-2 voltage at the receiving end of the transmission line with reactance x, all in per unit, and δ is the power angle. (ii)In Fig. 1, if Xg = 1.2 p.u., VT-1 /0°. IEgl = 1.4 p.u. and P delivered to the infinite bus-2 is 0.6 p.u., compute: (a) Eg as a phasor. (b) I, as a phasor

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