Delta and Wye are two special configurations of electrical circuits. In this post, you’ll learn the formula for Delta to Wye conversion.
We previously studied series, parallel and series-parallel circuits. Besides these three circuits, there are two special configurations:
- The Delta or Pi configuration
- The Wye or Tee configuration
Delta and Wye circuits contain three resistors. The figure below displays the formulas to convert a delta circuit to Wye:
![](https://electricalandelectronicsengineering.com/wp-content/uploads/2019/06/delta-to-wye-conversion-formula-1024x570.jpg)
An example
Find the equivalent wye circuit for given delta:
![](https://electricalandelectronicsengineering.com/wp-content/uploads/2019/06/a-delta-circuit-having-3-6-and-17-ohms-resistors-300x238.jpg)
Rx = (R2.R3) / (R1 + R2 + R3) = (6 * 17) / (3 + 6 + 17) = 3.92 Ω … (1)
Ry = (R1.R3) / (R1 + R2 + R3) = (3 * 17) / (3 + 6 + 17) = 1.96 Ω … (2)
Rz = (R1.R2) / (R1 + R2 + R3) = (3 * 6) / (3 + 6 + 17) = 0.692 Ω … (3)
![](https://electricalandelectronicsengineering.com/wp-content/uploads/2019/06/wye-equivalent-circuit-for-3-6-and-17-ohm-resistors-300x217.jpg)
So that was all about Delta to Wye Conversion formula.