In a three-phase electrical system, star and delta are two common configurations for connecting resistors or loads. Delta to Star Conversion Calculator (Δ to Y ) is a tool to convert a delta-connected resistor network into an equivalent star-connected network or vice versa. This conversion is particularly useful in simplifying complex networks for analysis.

Delta to Star Conversion Calculator

Enter the resistance values in the Delta configuration:

R1:

R2:

R3:

Convert to Star

Equivalent Star Resistances:

For the conversion of resistance values from a Delta configuration to a Star configuration, you can use the following formulas:

Let \(R_1\), \(R_2\), and \(R_3\) be the resistances in the Delta configuration. The equivalent star resistances \(R_A\), \(R_B\), and \(R_C\) are calculated as follows:

\(R_A = \frac{R_1 \cdot R_2}{R_1 + R_2 + R_3}\)

\(R_B = \frac{R_2 \cdot R_3}{R_1 + R_2 + R_3}\)

\(R_C = \frac{R_3 \cdot R_1}{R_1 + R_2 + R_3}\)

These formulas allow you to convert a delta-connected set of resistances (\(R_1\), \(R_2\), \(R_3\)) into an equivalent star-connected set of resistances (\(R_A\), \(R_B\), \(R_C\)).

Conversely, if you want to convert from a star configuration to a delta configuration, you can use the reverse formulas to find \(R_1\), \(R_2\), and \(R_3\) given \(R_A\), \(R_B\), and \(R_C\).

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