Delta – Y Transformation Calculator

The Y–Δ Transform, also known as "delta–star", and "delta–wye", is a mathematical process used in the field of electronic engineering to simplify complex resistor networks. This calculator allows one to transform a delta (Δ) network to a wye (Y), and wye (Y) to delta (Δ) network, thus solving for unknown resistor values.

Enter the values of R1, R2, R3 of a delta resistor network to calculate the values of R4, R5, and R6 in an equivalent wye resistor network.

Input Δ Network Resistor Values
R1:

R2:

R3:

Equivalent Y Network (Answer)
R4:

R5:

R6:

Delta to Y Transformation Formulas

Y – Delta Conversion

Enter the values R4, R5, R6 of a wye resistor network to calculate the values of R1, R2, and R3 in an equivalent delta network.

Input Y Network Resistor Values
R4:

R5:

R6:

Equivalent Δ Network (Answer)
R1:

R2:

R3:

I usually did this in my head and did not even require the node positions, however if you need to memorise the Δ -Y transformation formulas then there are some simple patterns in the numerator and denominator that could help make it easier.

Resistor Colour Code
Standard Resistor Values
Ohm’s Law
Resistors in Parallel
Resistors in Series
Delta – Y Transformation Calculator

Y – Delta Conversion

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