Star to Delta Transforms

We can now solve simple series, parallel or bridge type resistive networks using Kirchoff´s Circuit Laws, mesh current analysis or nodal voltage analysis techniques but in a balanced 3-phase circuit we can use different mathematical techniques to simplify the analysis of the circuit and thereby reduce the amount of math’s involved which in itself is a good thing.

Standard 3-phase circuits or networks take on two major forms with names that represent the way in which the resistances are connected, a Star connected network which has the symbol of the letter, Υ (wye) and a Delta connected network which has the symbol of a triangle, Δ (delta).

If a 3-phase, 3-wire supply or even a 3-phase load is connected in one type of configuration, it can be easily transformed or changed it into an equivalent configuration of the other type by using either the Star Delta Transformation or Delta Star Transformation process.

A resistive network consisting of three impedances can be connected together to form a T or “Tee” configuration but the network can also be redrawn to form a Star or Υ type network as shown below.

T-connected and Equivalent Star Network

Star Resistor Networks

As we have already seen, we can redraw the T resistor network to produce an equivalent Star or Υ type network. But we can also convert a Pi or π type resistor network into an equivalent Delta or Δ type network as shown below.

Reference: Electronics Tutorials

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Page edited by E.C. (Google).


  1. Wayne Storr
    Feb 21, 2014

    Nice plagiarized article from my site, including images, well done. May I plagiarized your site as well. i need some new content.

    • Edvard
      Feb 21, 2014

      Hi Wayne, I’m truly sorry for this and other theorems being practically stolen without your permission as owner. They were published in the very early stage of EEP few years back. I could add your website as the reference or even remove these pages from EEP. Which option suits you best?

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