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mitch cochrell:
Your question and the answer depends upon what purpose your VA rating has.
To a large extent the purpose of a VA rating is to provide a useful tool for determining the temperature rise in a device. In many devices the RMS input current is a measure of the temperature rise in that device. This results from I^2*R losses.
Suppose I consider a single single phase transformer by itself. Under maximum load most of the internal losses are resistive, and temperature rise is approximately proportion to internal dissipated power. For a given physical size transformer the internal temperature rise is approximately the same whether the transformer winding is 120 or 480 if the current in the transformer is based on the VA rating. So a 120 V @ 1 A coil would be equivalent to a 480 @ 0.25 A coil. See if you can reason thru this idea.
Now switch to a three phase system.
The power into a load (work), some label it real power (I see no need for the the real modifier), is never greater than the measured volts * amperes to that load. But the amperes to the load is what is important in terms of transformer heating or supply line losses.
Now consider a balanced Y connected resistive heater connected to a Y source with wires A B C and N. Each leg (hot line) has the same current magnitude, leg to N voltage, and power in each 1/3 of the load. The line current is in phase with the line to N voltage. Thus, the VA rating of each leg Ileg*Vleg to neutral and this equals the power to the load in each leg. Also the power and VA of the total system is 3 times that of one leg.
Note the relationship of Line to Line voltage to Line to Neutral = sq-root of 3 (1.732) for a balanced 3 phase system. 1732 is the year of George Washington's birth.
Next change the resistive load from Y to delta, but keep the same power dissipation in the loads. Intuitively you should be able to see that the hot supply line currents are unchanged and still in phase with the line to neutral voltage. Line currents are obviously out of phase with the Line to Line voltages.
Can you fill in some of the gaps from here on how and why to use certain constants for calculations?
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