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Deepak Modi Grade: 12th Pass


                        Star to delta convertion.

8 years ago

Answers : (1)

Sher Mohammad

IIT Delhi

askIITians Faculty

174 Points

							
 $R_y = \frac{R'R''}{\sum R_\Delta}$ 
where $R_\Delta$ are all impedances in the ? circuit. This yields the specific formulae
 $\begin{align} R_1 &= \frac{R_bR_c}{R_a + R_b + R_c} \\ R_2 &= \frac{R_aR_c}{R_a + R_b + R_c} \\ R_3 &= \frac{R_aR_b}{R_a + R_b + R_c} \end{align}$ 
Equations for the transformation from Y-load to ?-load 3-phase circuit[edit]

 $R_\Delta = \frac{R_P}{R_\mathrm{opposite}}$ 
 $R_P = R_1R_2+R_2R_3+R_3R_1$ is
 $\begin{align} R_a &= \frac{R_1R_2 + R_2R_3 + R_3R_1}{R_1} \\ R_b &= \frac{R_1R_2 + R_2R_3 + R_3R_1}{R_2} \\ R_c &= \frac{R_1R_2 + R_2R_3 + R_3R_1}{R_3} \end{align}$