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Two single phase transformers A and B are operating in parallel having different impedance and identical x/r ratio. Impedance of A is Za and impedance of B is Zb, both sharing a load of Sl. Then the load shared by transformer A is?

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Two single phase transformers A and B are operating in parallel having different impedance and identical x/r ratio. Impedance of A is Za and impedance of B is Zb, both sharing a load of Sl. Then the load shared by transformer A is?

(a) Sl*(Zb/(Za+Zb))

(b) Sl*(Za/(Za+Zb))

(c) Sl*(Zb*Za/(Za+Zb))

(d) Sl*(Zb+Za/Zb))

This question was posed to me in an online quiz.

The origin of the question is Parallel Operation of Single Phase Transformers in chapter Transformers of Electrical Machines

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The correct option is (a) Sl*(Zb/(Za+Zb))

The best explanation: The load sharing is based on the inverse of the kVA rating.

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