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Slavag's sketch is what your voltage would be if you made the change exactly as you said. Note that V[sub]AA'[/sub], V[sub]BB'[/sub], and V[sub]CC'[/sub] would all be 67V at 120°. V[sub]AB'[/sub]=133V at -150°, V[sub]BC'[/sub]=176V at 169°, V[sub]BA'[/sub]=175V at 131°, V[sub]CA'[/sub]=133V at 90°, V[sub]CB'[/sub]=67V at 30°.After moving the ground to B phase (B') I measure from A to A', B to B' ; C to C' and read 67 vac and 180 deg. difference. The 2nd vector on the right is drawn to show this relationship. Obviously the 2 vectors were equiv. before changing the ground ref.
The ph-ph readings after moving the ground to B'.
AB'= 67 vac, AC'= 136 vac, BC'=67 vac, BA'=180 vac, CA'=136 vac CB'=67 vac. Didn't record angles for these. Some of these make sense but most don't.