Wye-Delta Transformation

Wye-Delta Transformation

The Delta-Wye transformation is an extra technique for transforming certain resistor combinations that cannot be handled by the series and parallel equations. This is also referred to as a Pi – T transformation.

What is wye-delta Transformation?

 This topic is very important. Sometimes we are not sure in electric circuits  that the resistors are neither parallel or series. In many circuit applications, we encounter components connected together in one of two ways to form a three-terminal network: the “Delta,” or Δ (also known as the “Pi,” or π) configuration, and the “Y” (also known as the “T”) configuration.

 

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Y → Δ transformation

There are several equations used to convert one network to the other:

 

EXAMPLE:

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Δ Y transformation

 

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EXAMPLE:

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Each resistors in Y network is the product of two adjacent branches divided by the 3 resistors.

 



EXAMPLE:

 

 After the Δ-Y conversion 

 If we perform our calculations correctly, the voltages between points A, B, and C will be the same in the converted circuit as in the original circuit, and we can transfer those values back to the original bridge configuration.

 



Learnings:

Wye Delta Transformation is very important in Circuits, sometimes we are not sure in electric circuits  that the resistors are neither parallel or series. In many circuit applications, we encounter components connected together in one of two ways to form a three-terminal network: the “Delta,” or Δ (also known as the “Pi,” or π) configuration, and the “Y” (also known as the “T”) configuration.

  • “Delta” (Δ) networks are also known as “Pi” (π) networks.
  • “Y” networks are also known as “T” networks.
  • Δ and Y networks can be converted with the proper resistance equations. By “equivalent,” I mean that the two networks will be electrically identical as measured from the three terminals (A, B, and C).
  • A bridge circuit can be simplified to a series/parallel circuit by converting half of it from a Δ to a Y network. After voltage drops between the original three connection points (A, B, and C) have been solved for, those voltages can be transferred back to the original bridge circuit, across those same equivalent points.


 

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