The Delta to Star Calculator makes it easy to convert delta (Delta) configured resistors to equivalent star (Wye) resistors.
This tool is useful for engineers and technicians working on electrical networks or complex resistive circuits.
Formula used
For three Delta resistances Ra, Rb and Rc, the corresponding Wye resistances R1, R2 and R3 are calculated as follows:
R1 = (Rb × Rc) / (Ra + Rb + Rc)
R2 = (Ra × Rc) / (Ra + Rb + Rc)
R3 = (Ra × Rb) / (Ra + Rb + Rc)
Explanation
This conversion transforms a triangle network into a star network to simplify circuit analysis.
Each Wye resistance is proportional to the product of the two adjacent Delta resistances and inversely proportional to the sum of the three Delta resistances.
This makes it possible to maintain the equivalent electrical characteristics between the two configurations.
Calculation example
For Delta resistors:
Ra = 30 Ω , Rb = 60 Ω , Rc = 90 Ω
Calculation of Wye resistances:
R1 = (60 × 90) / (30 + 60 + 90) = 5400 / 180 = 30 Ω
R2 = (30 × 90) / 180 = 2700 / 180 = 15 Ω
R3 = (30 × 60) / 180 = 1800 / 180 = 10 Ω
Benefits and Use
- Allows you to simplify the analysis of complex resistive circuits.
- Useful for sizing and calculating electrical networks.
- Facilitates conversion between Delta and Wye configurations for engineers and technicians.
- Helps verify electrical equivalence between the two configurations.
