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:

  1. The Delta or Pi configuration
  2. 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:


An example

Find the equivalent wye circuit for given delta:

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)

So that was all about Delta to Wye Conversion formula.