Formula for Wye/Star to Delta Conversion
The Wye/Star to Delta conversion calculator uses the following formulas to convert three resistances in a Wye (Star) configuration (R1, R2, R3) into the equivalent Delta resistances (Ra, Rb, Rc):
Ra = R1 + R2 + (R1 × R2) / R3
Rb = R2 + R3 + (R2 × R3) / R1
Rc = R1 + R3 + (R1 × R3) / R2
Formula Explanation
This formula ensures that the electrical properties between any two terminals remain identical after converting from a Wye to a Delta configuration. Each Delta resistance depends not only on two Wye resistances but also on their product divided by the third Wye resistance. This maintains equivalent impedance between terminals.
Uses of Wye/Star to Delta Conversion Calculator
- Design and analysis of three-phase electrical circuits in power systems.
- Balancing loads in electrical networks to ensure stable operation.
- Converting circuit configurations for simplified calculations and simulations.
- Education and training in electrical engineering for understanding impedance transformations.
- Troubleshooting and retrofitting electrical networks with mixed configurations.
Formula Example
Given Wye resistances: R1 = 10 Ω, R2 = 20 Ω, R3 = 30 Ω
Calculate Delta resistances:
Ra = 10 + 20 + (10 × 20)/30 = 36.6667 Ω
Rb = 20 + 30 + (20 × 30)/10 = 110 Ω
Rc = 10 + 30 + (10 × 30)/20 = 55 Ω
Thus, the equivalent Delta resistances are Ra ≈ 36.667 Ω, Rb = 110 Ω, Rc = 55 Ω.