Problem $3.[10$ PT$]$ The following test data are taken form the open and short circuit characteristics of a $45-$KVA, three phase, Y $-$connected, $220$ V $($line to line$),$ six pole, $60$ HZ synchronous machine. From the open circuit characteristics:

Line$-to-$line voltage $=220V$

For the short circuit characteristics:

Field current$=2\mathrm{.}84$ A

$\backslash$table$[[$Armature Current $($A$),118,152],[$Field Current, A$,2\mathrm{.}20,2\mathrm{.}84]]$

From the airgap line:

Field Current $=2\mathrm{.}2A,$ Line$-to-$line voltage $=220V$

a$)3PT$ Compute the value of unsaturated synchronous reactance at rated voltage.

b$)3PT$ Compute the value of uns...... I synchronous reactance.

c$)2PT$ Which reactance is larger saturated or unsaturated and why?

d$)2PT$ Compute the value of short circuit ratio reactance.