3-Phase Power Calculator
Calculate balanced three-phase AC real power (kW), apparent power (kVA), reactive power (kVAR), line current, and power factor correction.
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▸Formula · assumptions · example(IEEE 141 (Red Book) · IEC 60038 · NFPA 70 (NEC))
Formula
P = \sqrt{3} \cdot V_L \cdot I_L \cdot \cos\phi, \quad S = \sqrt{3} \cdot V_L \cdot I_L, \quad Q = \sqrt{3} \cdot V_L \cdot I_L \cdot \sin\phi
Balanced three-phase active real power P (kW), apparent power S (kVA), reactive power Q (kVAR), and power factor cosφ.
Assumptions
- · Symmetrical balanced three-phase AC system with 120° phase displacement between line voltages
- · Line-to-line voltage VL and line current IL measured as RMS values
- · Linear balanced electrical load across all three phases
Worked example
Worked example — 3-Phase Power Calculator
Deterministic calculation verified against international engineering standards.