Shift Angle of Three-Phase Transformer (Two Windings)

The Three-Phase Transformer (Two Windings) has a problem with shift angles. When you use D1 (primary or secondary) there's no shift angle, input and output stay together, but the shift angle should be + or - 30 degrees (images D1_Yg and Y_D1). When you use D11 (primary or secondary) there's a shift angle about + or - 60 degrees, but the shift angle should be + or - 30 degrees (images D11_Yg and Y_D11). I'm not sure if shift angle of harmonic sines or currents fundamental and harmonics is working correctly. Can anyone answer to me if I done something wrong?

Shift angle D1_Yg and Y_D1 (input and output together)

Shift angle D11_Yg and Y_D11 (shift phase of 60 degrees by fourier)

Answer 1

[Sebastian Castro]

I think this is because you're measuring phase-to-phase voltage on the Delta side and phase-to-ground on the Wye side.

If you measure both voltages between phases A and B or both voltages between phase A to ground, you will get the expected phase shifts.

- Sebastian

[Ailton Maia]

You're right. As I can see , I did not understand the tutorial in mathworks well. I thought the lag in phase were in windings, not in ph-ph. Thanks.