Star Delta Conversion Calculator

Send an Inquiry

To receive a quote for your project, please fill in the following information, and we’ll get back to you promptly.

Submit Inventory List

Please fill in the following information, and we’ll get back to you promptly.

Convert three-terminal resistor networks between star/wye and delta equivalents for circuit analysis, simplification, and resistance network solving.

Input Parameters

Conversion Mode

Select the direction of conversion.

A / RA or RAB

For Y→Δ use RA. For Δ→Y use RAB.

B / RB or RBC

For Y→Δ use RB. For Δ→Y use RBC.

C / RC or RCA

For Y→Δ use RC. For Δ→Y use RCA.

Results

Result 1

Result 2

Result 3

Check Value

Equivalent Network

Design Note

Equations Used

Y to Δ: R_AB = R_A + R_B + R_AR_B/R_C

R_BC = R_B + R_C + R_BR_C/R_A

R_CA = R_C + R_A + R_CR_A/R_B

Δ to Y: R_A = R_ABR_CA / (R_AB + R_BC + R_CA)

R_B = R_ABR_BC / Sum, R_C = R_BCR_CA / Sum

Frequently Asked Questions (FAQ)

Q1: What is star-delta conversion?
It converts a three-terminal resistor or impedance network between equivalent wye/star and delta forms.

Q2: Can this be used for impedances?
Yes if all values are real resistances. For complex impedances, the same equations apply but require complex arithmetic.

Q3: Why use star-delta conversion?
It simplifies circuit analysis when series-parallel reduction is not directly possible.

Q4: Is this related to motor star-delta starting?
The mathematical network conversion is different from motor starting connection practice, although both use star and delta terms.

Q5: Do all values need to be positive?
For passive resistors, yes. Zero or negative values generally indicate an invalid passive network.

Q6: How can I verify the conversion?
Check that resistance measured between each pair of terminals is the same before and after conversion.

Disclaimer: This tool uses real positive resistor values. For AC complex impedance networks, the same topology equations apply but require complex arithmetic and frequency-dependent component values.

Previous Tool Signal Voltage Converter Next Tool Impedance Matching Calculator

PRODUCT

PHONE

USER