A generator is connected to an infinite bus as shown in the figure. Derive the expressions for real power and reactive power supplied by the generator to the infinite bus : [Diagram showing a generator E angle delta connected through jX to an infinite bus at |V| angle 0]

2Medium10 marks

For the system shown in the figure, S_D1 and S_D2 are complex power demands at bus-1 and bus-2 respectively. If |V_2| = 1 p.u., compute VAR rating of the capacitor (Q_G2) connected at bus-2 in MVAR : [Diagram showing SG1 at bus 1 with V_1 = 1 angle 0 p.u., line impedance X = j0.5 p.u. connected to bus 2 with Q_G2, S_D1 = (1+j0) p.u. and S_D2 = (1+j0) p.u.]

3Medium10 marks

For the open-loop transfer function G(s)H(s) = K / (s(s+4)(s+5)), determine the following :

(i) Point of intersection of asymptotes with real axis

(ii) Point of intersection of root locus with imaginary axis and the value of K at this point

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