Star Delta Transformation for Resistive Networks

Delta-to-Wye (Δ-Y) and Wye-to-Delta (Y- Δ )conversion

Y-Δ Transformation

Δ-Y Transformation

Delta-wye transformation

1

2

3

Solving 1+3-2

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