Three phase star connection with different offset

[MrKriss]

Homework Statement

For a balanced star connection i have given angles for V1=90 V2=0 V3=-90 i have to find the voltage required to produce the same phase currents as in standard three phase voltage source e.g V1=120 V2=0 V3 =-120

Homework Equations

The Attempt at a Solution

Im not even sure what t he question is asking me or how to do it my understanding is finding voltage value per 1 degree and just add the difference if voltage is example 230. I am mainly mechanical based so electrical ain't my strong point

 

[MrKriss]

all i have found that voltage rquired to provide same values as 230V is 180V not sure how to mathematically show with correct calculations

 

[cnh1995]

The problem is not clear.
What is the impedance of the system?
For example, if the phase angle of I1 should be 120°, the load power factor angle should be 30° leading.
Is there any information provided about the load?