Delta to Star (Wye) Conversion Calculator

Delta to Star (Wye) Conversion Calculator. In electrical circuit analysis, a Delta (Δ) network and a Star/Wye (Y) network are two equivalent ways to connect three resistors — and converting between them lets you simplify complex circuits. Select your conversion direction (Delta to Wye or Wye to Delta), then enter the three resistances (Ra, Rb, and Rc) to get the equivalent R1, R2, and R3 values of the converted network. Also try the Current Imbalance — Three-Phase Load Balancing.

Results

R1 (Star Resistance 1)

R2 (Star Resistance 2)

R3 (Star Resistance 3)

What is the difference between delta and wye networks?

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. See also our calculate Three-Phase Voltage.

How can I determine what is delta or wye configuration?

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.

How can I convert a delta circuit with 4Ω resistors to wye?

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.

Can I do a delta-to-wye conversion for every resistor network?

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.

What is the current for delta and wye: AC or DC?

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.

What will be the resistances in a 4Ω circuit when going from wye to delta?

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.

Why would I need to convert between delta and wye networks?

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.

Are there any limitations to delta-wye conversion?

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. You might also find our Three-Phase Current Calculator useful.