3-Phase Power Calculator

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!  
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Figure 1: How industrial and household appliances utilise 3-Phase Power
CalculationInputs﻿﻿V_LL
:415​
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﻿﻿I
:10ampere​
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﻿﻿Cos θ (PF)
:0.85​
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Output﻿﻿P 
:0.610963kW​
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﻿﻿S 
:7.1878kVA​
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﻿﻿Q 
:3.78651968kVAR​
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ExplanationThree-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.
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PkW=3⋅⋅VLL⋅I⋅cos ϕ1000P_{kW} = \frac {\sqrt{3} \cdot \cdot V_{LL} \cdot I \cdot cos \: \phi}{1000} PkW​=10003​⋅⋅VLL​⋅I⋅cosϕ​
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SkVA=3⋅VLL⋅I1000S_{kVA} = \frac { \sqrt {3} \cdot V_{LL} \cdot I } {1000} SkVA​=10003​⋅VLL​⋅I​
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QkVAR=3⋅VLL⋅I⋅sin ϕ1000Q_{kVAR} = \frac {\sqrt{3} \cdot V_{LL}  \cdot I \cdot sin \: \phi } {1000} QkVAR​=10003​⋅VLL​⋅I⋅sinϕ​
Where: 
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PkW=Three Phase Active/Real Power (kW)SkVA=Three Phase Apparent Power (kVA) QkVAR=Three Phase Reactive Power (kVAR)P_{kW} = Three \: Phase \: Active/Real \: Power \: (kW) \\ S_{kVA} = Three \: Phase \: Apparent \: Power \: (kVA) \\ \: Q_{kVAR} = Three \: Phase \: Reactive \: Power \: (kVAR) \\PkW​=ThreePhaseActive/RealPower(kW)SkVA​=ThreePhaseApparentPower(kVA)QkVAR​=ThreePhaseReactivePower(kVAR)
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VLL=Line to line voltage (V)I=Line to line current (A)Cos ϕ=Power Factorϕ=Phase angle (degrees)V_{LL} = Line \: to \: line \: voltage \: (V) \\ I = Line \: to \: line \: current \: (A) \\ Cos \: \phi = Power \: Factor \\ \phi = Phase \: angle \: (degrees) VLL​=Linetolinevoltage(V)I=Linetolinecurrent(A)Cosϕ=PowerFactorϕ=Phaseangle(degrees)
📝 Important note!
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