problem 1) Obtain the transfer function of the isolated loaded generator. Determine the transfer function given r=0, R=1, X=0, Xd=1, X d=0.2, Xq=0.6 and T do=0.2.

problem 2) Derive an expression for the voltage profile and current profile of a 400km symmetrical line on no load.

problem 3)a) Describe how S.V.C helps in maintaining voltage at a bus?

b) Derive the block diagram representation of a two area system. Derive expressions for drop in frequency and tie line transmitted power.

problem 4) Derive the block diagram representation of a generator connected to infinite bus. What is the significance of the coefficient K5?

problem 5)a) Starting from the block diagram representation of a generator connected to infinite bus through a reactance; describe the role of power system stabilizer in damping the rotor oscillations.

b) prepare the explanatory note on the reactive power requirements of a transmission line.

problem 6)a) An isolated power station has the following parameters:

Turbine time constant = 0.5sec
Governor time constant = 0.2sec
Generator inertia constant = 5sec
Generator speed regulation = R per unit.
D=0.8p.u. ( the load varies by 0.8% for 1% change in frequency)

Find the range of R for control system stability.

b) Using the park’s voltage equations derive the steady state phasor diagram of a synchronous machine.