# Delta Wye Calculator

## The Delta Wye transformation, also known as the Y-Δ or “delta-star” transformation because of its shapes of the circuits, is a procedure used to simplify complex resistor networks. This calculation transforms a wye configuration to a delta configuration or a delta configuration to a wye configuration, with the objective of facilitating circuit analysis.

DELTA

Resistor
(R

_{A})Resistor
(R

_{B})Resistor
(R

_{C})
WYE

Resistor
(R

_{1})Resistor
(R

_{2})Resistor
(R

_{3})### Equations

Δ → Y transformation

Equations for transforming a Δ network into a Y network:

Transforming from Δ to Y introduces one additional node.

Y → Δ transformation

Equations for transforming a Y network into a Δ network:

Transforming from Y to Δ removes one node.

### Application

Delta and Wye configurations are used in three-phase power systems, and the Delta configuration appears in the bridge rectifier circuit that performs the first step in converting AC voltage to a stable DC voltage.

### Further Reading

- Textbook — What are Wye and Delta?
- Worksheets — Worksheets - Delta and Wye 3-Phase Circuits
- Technical Article — Delta/Wye Transforms: Behind the Scenes

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