Transformers
For the parallel operation of single phase transformers it is necessary that they should have

same number of turns on the secondary side.
same kVA rating
same efficiency
same polarity

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Transformers
An ideal transformer is one which has

a common core for its primary and secondary windings
no losses and magnetic leakage
interleaved primary and secondary windings
core of stainless steel and winding of pure copper metal

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