(Solved): A single-line diagram of a three-phase, 60-Hz synchronous generator, connected through a transform ...

A single-line diagram of a three-phase, 60-Hz synchronous generator, connected through a transformer and parallel transmission lines to an infinite bus is shown in Figure 3. The generator delivers \( 0.75 \) per unit real power at \( 1.05 \) per unit terminal voltage. All reactances are given in per unit on a common system base. The infinite bus receives \( 1.0 \) per unit real power at unity power factor. Figure \( 3[1] \) i) In a transient stability study, what are the assumptions used for simplified synchronous machine model. (3 marks) ii) Determine the internal voltage of the generator. (5 marks) iii) If a three-phase-to-ground bolted short circuit fault occurs at bus 3 under steady-state conditions, determine a relation equation for the electrical power delivered by the generator versus power angle, \( \delta \) during the fault using the Thevenin equivalent network.