Star Delta Transformation for Resistive Networks
Delta-to-Wye (Δ-Y) and Wye-to-Delta (Y- Δ )conversion
Y-Δ Transformation
Δ-Y Transformation
Wye to Delta Transformation
4 5 6
4x5+5x6+6x4 gives
7
Dividing both sides of 7 by R1
Let RT = Ra + Rb + Rc. We can write the Δ to Y equations as
Similarly dividing 7 by R2 and R3 respectively
RB=(R1R2+R2R3+R3R1)/R3
RA=(R1R2+R2R3+R3R1)/R2
Example: Convert the Y connected network into a delta network.
Example: Find the equivalent resistance of the network
Example: Find equivalent resistance
4Ω
2Ω
1Ω
5Ω
3Ω
3/2Ω
2Ω
3/8Ω
5Ω
1/2Ω
13/2Ω19/8Ω
1/2Ω
159/71Ω