Question $2[15$ points$]$:

With an ammeter, a voltmeter, and a wattmeter connected on the low$-$voltage $($secondary$)$ side of a $60-$kVA $2400/240-$V transformer, the open$-$circuit test results are: $240V,5\mathrm{.}41A,$ and $186$ W$.$ Find excitation branch equivalent resistance and reactance $R_C$ and $x_M,$ neglecting the series branch impedance. Use the following relationships:

$(12$ points$)$

$R_C=a^2\frac{V_{OC}^2}{P_{OC}},cos{}_{OC}=\frac{P_{OC}}{V_{OC}{I}_{OC}},x_M=\frac{R_C}{tan{}_{OC}}$

Equivalent circuit of a real transformer referred to the secondary side is as follows: