Sunil Saharan

Star-Delta (Y-Delta) Conversion Calculator

Convert between star and delta resistor networks, the standard step when simplifying bridge circuits and three-phase loads.

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Formulas used

  • Star to delta: R12 = (R1R2 + R2R3 + R3R1) / R3
  • Delta to star: R1 = R12 x R31 / (R12 + R23 + R31)
  • Balanced: R(delta) = 3 x R(star)

Frequently asked questions

Which node does each resistor connect to?

R1, R2 and R3 each touch nodes 1, 2 and 3. R12 sits between nodes 1 and 2, R23 between 2 and 3, and R31 between 3 and 1.

Is the conversion exact?

Yes. The two networks behave identically as seen from the three terminals.