The power ratio between Star to Delta is 1:3
Explanation:
Let s suppose Vs be the supply voltage per phase.
So the line voltage of the supply will be 3Vs.
Now assume any type of load; for simplicity I m assuming it a only resistive load.
And let it be R per phase.
For Delta connected load:
Calculation for per phase power; PD I2R
Where I load current (per phase)
And
I 3Vs/R {as line voltage of the supply is directly applied to the phase of the delta load}
So
Pd ( 3Vs/R )2R 3Vs2/R watts per phase.
For 3 phases:
P3D 3Pd 3*3Vs2/R 9Vs2/R watts.
Now for Star connected load:
PS I2R (Vs/R)2R Vs2/R watts
For 3 phases: P3S 3PS 3 Vs2/R watts
Conclusion:
P3S / P3D 3Vs2/R / 9Vs2/R 1/3
It may be better concluded by drowing figures. If any variations can connect to me through karan.sorout@gmail.com