This convertor allows engineers and students to convert a three-phase delta network into an equivalent Wye (Star) network, making circuit analysis simpler and more practical for calculations.
Conversion Formula
R1 = (Rb × Rc) / (Ra + Rb + Rc)
R2 = (Ra × Rc) / (Ra + Rb + Rc)
R3 = (Ra × Rb) / (Ra + Rb + Rc)
How the Formula Works
The formula calculates each Wye resistance by multiplying the two delta resistances connected to the same node and then dividing by the sum of all three delta resistances. This ensures electrical equivalence between the delta and Wye networks.
Example of Use
For a delta network with Ra = 6 Ω, Rb = 3 Ω, and Rc = 2 Ω:
R1 = (3 × 2)/(6 + 3 + 2) = 6 / 11 ≈ 0.5455 Ω
R2 = (6 × 2)/(6 + 3 + 2) = 12 / 11 ≈ 1.0909 Ω
R3 = (6 × 3)/(6 + 3 + 2) = 18 / 11 ≈ 1.6364 Ω
Why this Delta to Wye Convertor is useful:
1. Simplifies three-phase circuit analysis and calculations.
2. Helps in power system design and simulation.
3. Reduces manual calculation errors when converting networks.
4. Provides quick results for classroom and lab exercises.
5. Essential for engineers working with balanced and unbalanced loads.
