Transformer load reading calculation

[ope0409]

I need help to get the percentage current loading on this transformer with the following parameters
transformer size is 500KVA
Primary voltage is 11KV
Secondary voltage is 415v
power factor is 0.8
current in Red phase is 315A
Current in yellow phase is 302A
Current in blue phase is 317A
Neutral current is 23A

Please, what is the percentage loading of this transformer, i want to be sure my calculation is right

 

[berkeman]

Welcome to PF.

Please show us your calculation first. Also, is this for schoolwork?

 

[ope0409]

it is not for school work but office work
for a 500KVA transformer, the full amperage load will be 695.62A (from I =(KVA *1000)/sq3 *V )
hence I have 315A + 302A + 317A + 23A =957A
average of the total amperage = 957/4 =239.25A
percentage loading = 239.25/695.62 * 100 =34.39%
i want to know if my calculation is correct

 

[Babadag]

The load total kVA it is the sum of each load per phase. The total kVA=415/sqrt(3)*[315+302+317]=223.8 kVA

 

[ope0409]

The load total kVA it is the sum of each load per phase. The total kVA=415/sqrt(3)*[315+302+317]=223.8 kVA

thanks