Problem $4).[15$ PT$]$ A $480V,500$KVA, Y$-$connected synchronous generator has a synchronous reactance of $1$ per phase and an armature resistance of $0\mathrm{.}2.$ This generator is connected to an $80KW,0\mathrm{.}8$ power factor leading Y$-$connected load operating at $480$ V $.$ The synchronous generator's generated voltage is adjusted to have a terminal voltage of $480$ V load voltage as described above.

i$)[10$ PT$]$ Draw the per phase equivalent circuit diagram of the generator including both the field and armature circuits. Calculate the magnitude and angle of the generated voltage.

ii$)[5$ PT$]$ Under the above operating condition if a short circuit occurs on the generator terminals, what will be the generator output voltage and current. Draw the phasor diagram for this operating condition.