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Star-Delta-Star Converter

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Star Delta Star Converter | Delta Wye Resistor Calculator
TYPE
Ω
Ω
Ω
Ω
Ω
Ω
Please enter valid values greater than zero.
RESULTS
Ra
Rb
Rc

Input Parameters Specification

Conversion TypeSelect Star to Delta or Delta to Star depending on the resistor network transformation needed.
Star InputsR1, R2 and R3 are the three star or wye branch resistors connected to the common center node.
Delta InputsRa, Rb and Rc are the three delta triangle side resistors between terminals A, B and C.
Output ValuesThe calculator converts the network while keeping equivalent resistance between the same three terminals.

Practical Operational Examples

Star to Delta Example

R1 = 10 Ω
R2 = 20 Ω
R3 = 30 Ω
Output gives equivalent Ra, Rb and Rc.

Delta to Star Example

Ra = 100 Ω
Rb = 150 Ω
Rc = 220 Ω
Output gives equivalent R1, R2 and R3.

Diagrams & Theory

Star-delta and delta-star conversion is used to simplify three-terminal resistor networks, bridge circuits, motor equivalent circuits, sensor networks and electrical analysis problems.

A B C RA RB RC A B C R1 R3 R2

Formulas & Mathematical Logic

Star to Delta: sum = R1 × R2 + R2 × R3 + R3 × R1
Star to Delta: Ra = sum / R1, Rb = sum / R2, Rc = sum / R3
Delta to Star: sum = Ra + Rb + Rc
Delta to Star: R1 = Rb × Rc / sum, R2 = Ra × Rc / sum, R3 = Ra × Rb / sum

These transformations preserve the equivalent resistance between terminals A, B and C, allowing complex resistor networks to be simplified for circuit analysis.

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About this tool

Star-Delta-Star Converter is a free online calculator tool. Use it to get instant, accurate results for your electronics calculations.