Calculate Load Angel & Pole Wheel Voltage Up

[robax25]

Nominal power PN= 3MVA
Nominal Voltage UN= 3000v (Y)
Line frequency f=50 Hz
Number of ole pairs= 2
Synchronous Reactance X1= 2.5 ohms

There is no reactive power and the generator can be assumed as lossless.

Please calculate Load angel and pole wheel voltage Up

Formula and my solution,
I=PN/UN
I=3MVA/3000V
I=1000AUN=XI +Up
Up= 3000v-2.5*1000A
UP=500v which is wrong

Load angel ? I don't know

 

[Babadag]

In my opinion UN=V;UP=E. See the attached sketch.

 

[Babadag]

Sorry.Wrong sketch.

 

[Babadag]

I am sorry. Two more parentheses are missing

 

[Babadag]

I am not sure what does represent UN=3000V[Y]. Since it is about 50 Hz IEC Standard IEC 60038 Table 3 Note 1:
These systems are generally three-wire systems unless otherwise indicated. The values indicated are voltages between phases.
So, the voltage is 3 kV between phases. The power has to be: √3.I.UN.cos(ϕ). The voltage per phase it is then 3000/√3=1732 V