Consider the out of phase windings taken alone as an open delta. Assign an arbitrary load load and impedance.
The current will be leading at 50% PF in one winding and lagging at 50% PF in the other winding. If you do a vector sum of the voltage drops of the two windings you will find that it is equal to the voltage drop of the inphase winding.
Thus the in phase winding will share the current equally with the two out of phase windings.
Each winding has equal voltage and equal current so each winding has equal KVA. For a 100 KVA load, the load on each winding will be 50 KVA. KVA does not consider power factor.
kW considers power factor. For a load of 100 kW the in-phase winding will supply 50 kW and each of the out of phase windings will supply 25 kW for a total of 100 kW.
In the out of phase windings,, 50 KVA at 50% PF = 25 kW.
When a manufacturer shows both a three phase rating and a single phase rating, the single phase rating is always 2/3 of the three phase rating.
The rated current of a winding does not change. The in-phase winding still produces rated current.
Consider also that for use at the lower voltage, the windings may be broken into four groups.
For 120:240 Volt use:
Group 1 is a 120 Volt in-phase winding. (A phase)
Group 2 is a 120 Volt in-phase winding. (A phase)
Group 3 is two 120 Volt out of phase windings in open delta. (B phase and C phase)
Group 4 is two 120 Volt out of phase windings in open delta. (B phase and C phase)
For a zig-zag connection, group 1 is in parallel with group 2, and in series with that is group 3 in parallel with group 4.
When you put a 240 Volt load on the combination. The same current flows in both the in phase windings and in the open delta groups.
There is the same voltage drop across each side of the 120:240 Volts.
For a double delta connection:
Group 3 (open delta) is put in parallel with group 1. (in-phase winding)
and
Group 2 (in-phase winding) is put in parallel with group 4 (open delta).
As before, the same current flows in each winding.
There is the same voltage drop across each side of the 120:240 Volts.
The same division of current occurs when a single phase load is placed across one side of a delta transformer bank.
Anyone who has calculated the mixed single phase and three phase loading on a 120:240 volt four wire delta transformer bank should be familiar with these relationships.
The transformer bank loading calculations may be more interesting when the transformers are not the same KVA rating.
Bill
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"Why not the best?"
Jimmy Carter