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For parallel operation of let's say two Transformers, following limiting conditions must be met.

1- The turn ratios must be same.

2- The percentage impedance must match.

3- The X/R ratios must be same.

The load sharing is done according to the kVA ratings and %Z of the transformers. The formula is as under:

load taken by TF1 = ((kVA1/%Z1)/((kVA1/%Z1)+(kVA2/%Z2)))*total load

Similarly,

load taken by TF2 = ((kVA2/%Z2)/((kVA1/%Z1)+(kVA2/%Z2)))*total load

An example will make the concept easier.

For example we have to parallel a 1000kVA TF of 5%Z with another of 1200kVA having 5.5%Z to supplay a load of 800kVA.

load taken by TF1= ((1000/5)/((1000/5)+(1200/5.5)))*800= 382.6kVA

load taken by TF2= ((1200/5.5)/((1000/5)+(1200/5.5)))*800= 417.4kVA

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