Enter your Delta network resistances — Ra, Rb, and Rc — select your Conversion Type, and this Delta to Star (Wye) Conversion Calculator works out the equivalent Star resistances R1, R2, and R3 for your transformed network.
R1 (Star Resistance 1)
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R2 (Star Resistance 2)
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R3 (Star Resistance 3)
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Delta (Δ) networks have three resistors connected in a triangular configuration, while wye (Y) networks have three resistors connected to a common central point. Both configurations are electrically equivalent when converted using proper formulas.
Delta configuration looks like a triangle with resistors forming the sides, while wye configuration resembles the letter Y with three resistors meeting at a central point. The delta has no central node, whereas wye has a neutral point.
For a delta circuit with equal resistors of 4Ω each, each wye resistor would be R = (4 × 4)/(4 + 4 + 4) = 16/12 = 1.33Ω. The conversion formula divides the product of two adjacent delta resistors by the sum of all three.
Delta-to-wye conversion only applies to three-terminal networks with three resistors. More complex networks may require multiple conversions or different circuit analysis techniques.
Delta-to-wye conversion works for both AC and DC circuits. The conversion formulas apply to impedances in AC circuits just as they do to resistances in DC circuits.
If you have a wye circuit with three 4Ω resistors, each delta resistor would be R = (4 + 4 + (4×4)/4) = 12Ω. The wye-to-delta conversion typically results in larger resistance values.
Network conversion simplifies complex circuit analysis by transforming complicated networks into simple series-parallel combinations. This is especially useful in three-phase power systems and balanced load calculations.
The conversion assumes balanced networks and works best with purely resistive components. For reactive components (capacitors/inductors), you need to consider impedance rather than just resistance.