Briefly explain about wye-delta transformation, Electrical Engineering

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Q. Briefly explain about Wye-delta transformation?

Certain network configurations cannot be reduced or simplified by series-parallel combinations alone. In some such cases wye-delta (Y- ) transformation can be used to replace three resistors in wye configuration by three resistors in delta configuration, or vice versa, so that the networks are equivalent in so far as the terminals (A, B, C) are concerned, as shown in Figure. For equivalence, it can be shown that

968_Wye-delta transformation.png


For the simple case when RA = RB = RC = RY, and RAB = RBC = RCA = R , Equations (1) and 2) become

1643_Wye-delta transformation1.png

2361_Wye-delta transformation2.png


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