Problem $1$: OC$-$SC Test

The data given below are from laboratory tests of a $50$ kVA $,$ three$-$phase, Y$-$connected, $480V,2-$pole, $60$ Hz synchronous machine with a cylindrical rotor shape. Compute the value of the synchronous reactance at rated voltage.

Line$-$line stator resistance

Open$-$circuit test:

Short$-$circuit test:

$0\mathrm{.}3$

Field current $=1\mathrm{.}5A$

Line$-$line voltage $=480V$

Armature current $=50A$

Filed current $=1\mathrm{.}2A$