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Introduction

Welcome to our 3-Phase Power calculation template! This page will enable you to calculate a power value for real, apparent and reactive power in kW, kVA and kVAR units. You will need to know either the line voltage or phase voltage, the phase current/line current and the power factor. Let's begin!
Figure 1: How industrial and household appliances utilise 3-Phase Power


Calculation

Inputs



V_LL
:415



I
:10ampere



Cos θ (PF)
:0.85


Outputs



P
:0.610963kW



S
:7.1878kVA



Q
:3.78651968kVAR


Explanation

Three-phase power is a common electrical power transmission method used for high-power applications, such as in power plants, factories, and commercial and residential buildings. In a three-phase system, three alternating current (AC) voltages are generated with a fixed phase difference of 120 degrees between them and are transmitted along three separate conductors. Three-phase systems have several advantages over single-phase systems, including more efficient power transmission, reduced transmission losses, and reduced cost of electrical equipment.


PkW=3VLLIcosϕ1000P_{kW} = \frac {\sqrt{3} \cdot \cdot V_{LL} \cdot I \cdot cos \: \phi}{1000}

SkVA=3VLLI1000S_{kVA} = \frac { \sqrt {3} \cdot V_{LL} \cdot I } {1000}

QkVAR=3VLLIsinϕ1000Q_{kVAR} = \frac {\sqrt{3} \cdot V_{LL} \cdot I \cdot sin \: \phi } {1000}
Where:

PkW=ThreePhaseActive/RealPower(kW)SkVA=ThreePhaseApparentPower(kVA)QkVAR=ThreePhaseReactivePower(kVAR)P_{kW} = Three \: Phase \: Active/Real \: Power \: (kW) \\ S_{kVA} = Three \: Phase \: Apparent \: Power \: (kVA) \\ \: Q_{kVAR} = Three \: Phase \: Reactive \: Power \: (kVAR) \\

VLL=Linetolinevoltage(V)I=Linetolinecurrent(A)Cosϕ=PowerFactorϕ=Phaseangle(degrees)V_{LL} = Line \: to \: line \: voltage \: (V) \\ I = Line \: to \: line \: current \: (A) \\ Cos \: \phi = Power \: Factor \\ \phi = Phase \: angle \: (degrees)

📝 Important note!

Additional Resources

If you like our 3-Phase Load Calculator, check out our other calculators to calculate transformer fault current, generator fault current or wire voltage drop!
  1. 🔗 Transformer Fault Current
  1. 🔗 Generator Fault Current
  1. 🔗 Wire Voltage Drop