I am modeling a synchronous generator and in the stator circuit consisting of 3 phases at the alternator output, I have resistances and inductances of the end windings. Thus I have a 3D approximation of my current 2D approximation.
Now I am considering a generator with load. S = 50 kVA or 50 kW with p.f.unity. We have the formula $$Z = \frac{V^2}{S}$$
But which V to use? It is only after doing the simulations of the FE model that I get the output voltage V at the stator terminals. It's a chicken and egg situation. If I want to add an impedance or resistance for my loaded generator, I need to know V but V is only computed afterwards in the FE simulation.
The approximation which I can have is to use a V which I get from a no-load simulation and then use this V in the formula \$Z= V^2/S\$ to obtain the impedance Z to put in the stator circuit next to the end winding resistances and inductances in order to simulate a loaded generator.
As you can see, this is confusing to me. Looking forward for your comments. Thanks.
If I consider the voltage regulation formula, then I do not know my \$V_{rated}\$.