Delta and Wye circuit equations and Connections

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DELTA AND WYE CIRCUIT EQUATIONS

Typical 3-Phase Wiring Diagrams and Equations

For Both Wye and Delta (Balanced Loads)	Wye and Delta Equivalent

V_P = Phase Voltage V_L = Line Voltage I_P = Phase Current I_L = Line Current R = R1 = R2 = R3 = Resistance of each branch W = Wattage	W_DELTA = 3 W_WYE Open3-Phase Circuit Formulas: Open Delta Watts = ²/₃ W_DELTA Open Wye Watts = ¹/₂ W_WYE Open 4-wire Wye Watts = ²/₃ W_WYE

3-Phase Wye (Balanced Load)		3-Phase Open Wye (No Neutral)
I_P = I _L V_P = V_L/1.73 W_WYE = V_L² /R = 3 (V_P²) /R W_WYE = 1.73V_LI_L		I_PO = I _LO V_PO = V_L/2 W_OWYE = ¹/₂ ( V_L /R) W_OWYE = 2 (V_PO²/R) W_OWYE = V_LI_LO

3-Phase Delta (Balanced Load)		3-Phase Open Delta
I_P = I _L/1.73 V_P = V_L W_DELTA = 3(V_L²)/R W_DELTA = 1.73V_LI_L		V_P = V_L I_PO1 = I _PO3 = I _LO2 I_LO3 = 1.73 I _PO1 W_ODELTA = 2(V_L²/R )

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