Delta to Wye Conversion Formula
The Delta to Wye conversion calculator transforms a three-phase delta network into an equivalent Wye network. The formula calculates each Wye resistance based on the delta resistances Ra, Rb, and Rc.
R1 = (Rb × Rc) / (Ra + Rb + Rc)
R2 = (Ra × Rc) / (Ra + Rb + Rc)
R3 = (Ra × Rb) / (Ra + Rb + Rc)
Formula Explanation
Each Wye resistance (R1, R2, R3) is derived by multiplying the two delta resistances connected to the same node and dividing by the total sum of all three delta resistances. This ensures the Wye network has the same electrical behavior as the original delta network.
Uses of Delta to Wye Conversion Calculator
- Designing balanced three-phase power distribution systems.
- Converting existing delta circuits to Wye for analysis and simulation.
- Calculating equivalent resistances for motor and transformer connections.
- Educational purposes for learning three-phase circuit transformations.
- Improving understanding of load balancing and impedance matching in power systems.
Formula Example
Given a delta network with Ra = 30 Ω, Rb = 60 Ω, Rc = 90 Ω:
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
This Wye network with resistances R1 = 30 Ω, R2 = 15 Ω, R3 = 10 Ω is electrically equivalent to the original delta network.