This convertor allows engineers and students to transform Wye (Star) resistor networks into Delta configurations for circuit analysis and design.
Usage of the Wye to Delta Convertor
Use this tool when designing three-phase circuits, analyzing balanced load networks, or simplifying resistor networks for easier calculations.
Conversion Formula
Ra = R1 + R2 + (R1 × R2) / R3
Rb = R2 + R3 + (R2 × R3) / R1
Rc = R1 + R3 + (R1 × R3) / R2
Explanation of the Formula
The formulas compute the equivalent Delta resistances (Ra, Rb, Rc) from the Wye resistances (R1, R2, R3). Each Delta resistance is the sum of two Wye resistances plus the product of those resistances divided by the third Wye resistance, preserving the network’s overall electrical properties.
Example Conversion
For R1 = 10 Ω, R2 = 20 Ω, R3 = 30 Ω:
Ra = 10 + 20 + (10 × 20)/30 ≈ 36.667 Ω
Rb = 20 + 30 + (20 × 30)/10 ≈ 110 Ω
Rc = 10 + 30 + (10 × 30)/20 ≈ 55 Ω
Why this Wye to Delta Convertor is useful:
1. Simplifies resistor network analysis for three-phase systems.
2. Helps engineers verify design calculations quickly.
3. Reduces the risk of manual calculation errors.
4. Provides immediate visual results in standard units.
5. Useful for educational purposes in electrical engineering courses.
