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
(RA)
Resistor
(RB)
Resistor
(RC)
WYE
Resistor
(R1)
Resistor
(R2)
Resistor
(R3)
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