A $100$MVA, $13\mathrm{.}8$kV$,$ Y $-$ connected, $3$phase $60$Hz synchronous generator is operating at the rated voltage and no load when a $3$ phase fault occurs at its terminals. Its reactance per unit to the machines own base are Xs $=1\mathrm{.}00,$ X$\text{'}=0\mathrm{.}25,$ X$"=0\mathrm{.}12$ And the time constant are: T$\text{'}=1\mathrm{.}10$s$,$ T$"=0\mathrm{.}04$ s$.$ The initial DC Component in this machine averages $50\%$ of the initial AC Componen. i$.$ What is the AC component of current in the generator the instant after the fault. ii$.$ What is the total current $($AC $+$ DC$)$ in the generator right after the fault occurs. iii. What will the AC Component of the current be after $2$ cycles and after $5$s$.$