NapkinCalc

Power Systems — Distribution

Three-phase power

Three sine waves, 120° apart: their power sum is constant (no flicker), conductors share return paths (less copper), and motors start themselves. The bookkeeping: P = √3·V_LL·I·PF:

VLL:=480VV_{LL} := 480 V = 480 V line-to-line, industrial standard
Iline:=65AI_{line} := 65 A = 65 A
PF=0.88PF = 0.88
S3ph=3VLLIlineS_{3ph} = \sqrt{3} \cdot V_{LL} \cdot I_{line} = 54040 W apparent power (VA)
P3ph=S3phPFP_{3ph} = S_{3ph} \cdot PF = 47555 W real power doing work (W)