rattus said:Matt, you have pulled ONE phase from the transformer. You no longer have a three-phase system. Va, Vb, and Vc are separated by 120 degrees, but since you only have Va for example, you can no longer reference Vb and Vc.
V1 and V2 add to 240V because the phase angle is 180 degrees. If the angle were 120 degrees, they would add to 208V.
If you look at L1 and L2 relative to the neutral, you will see a separation of 8.33 milliseconds--half a cycle, 180 degrees.
First, how are you getting V1 and V2 from just Va? I am thinking delta here, so there needs to be Va-Vb, or such.
Second,
rattus said:V1 and V2 add to 240V because the phase angle is 180 degrees. If the angle were 120 degrees, they would add to 208V.
I think you are incorrect here. For the delta, a 240 V voltage drop is across the whole winding (I agree that this is from the number of turns, and is basic, and that if you measure the center of any of those windings you get 120 V).
The reference angle is still 120 (between Va-Vc) for me because it still relates to generation. The 120 deg phase angle is still supported for the delta case, take a look at my drawing...
http://mpross.public.iastate.edu/delta wye.bmp
I think there is still confusion on just what exactly is a "phase angle".
-Matt