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Delta and Wye Circuit Equations
Typical 3-Phase Wiring Diagrams and Equations for Resistive Heaters
(click on images to inlarge)

Definitions
For Both Wye and Delta (Balanced Loads) Wye and Delta Equivalent
VP = Phase Voltage

VL = Line Voltage

IP = Phase Current

IL = Line Current

R = R1 = R2 = R3 = Resistance of each branch

W = Wattage

WDELTA = 3 WWYE

WODELTA = ¾ WDELTA

WOWYE = ½ WWYE

Equations
3-Phase Wye(Balanced Load) 3-Phase Open Wye(No Neutral)
3-Phase Wye

IP = I L

VP = VL/1.73

WWYE = VL2/R = 3 (VP2)/R

WWYE = 1.73VLIL

3-Phase Open Wye

IPO = I LO

VPO = VL/2

WOWYE = 1/2 ( VL /R)

WOWYE = 2 (VPO2/R)

3-Phase Delta
(Balanced Load)
3-Phase Open Delta
3-Phase Delta

IP = I L/1.73

VP = VL

WDELTA = 3(VL2)/R

WDELTA = 1.73VLIL

3-Phase Open Delta

VP = VL

IPO1 = I PO3 = I LO2

ILO3 = 1.73 I PO1

WODELTA = 2(VL2/R)


 

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