Three-phase power calculator


The three-phase power calculator calculates the apparent, active and reactive power for three-phase AC systems.

Voltage (V)

Current (A)

Power factor



Apparent power10.39 kVA
Active power8.83 kW
Reactive power5.47 kvar

Parameters:

The three phase power calculator calculates the active and reactive power current from the following parameters:

  • Voltage (V): Enter the phase-to-phase (\(V_{LL}\)) voltage for a 3-phase AC supply in volts.
  • Current (I): Enter the the current in Amperes (A).
  • Power factor (cosΦ). Enter the power factor of the load.

There-phase power calculation:

The three-phase apparent power \( S_{kVA}\) is calculated as:

\(S_{kVA}=\dfrac{ \sqrt{3} \cdot V_{LL} \cdot I}{ 1000 }\)

 

The three-phase active power \(P_{kW}\) (real power) is calculated as:

\(P_{kW}=\dfrac{\sqrt{3} \cdot V_{LL} \cdot I \cdot \cos \phi } { 1000 }\)

 

The three-phase reactive power \(Q_{kvar}\) is calculated as:

\(Q_{kvar}=\dfrac{\sqrt{3} \cdot V_{LL} \cdot I \cdot \sin{\phi}}{ 1000 }\), where \(\sin{\phi} = \sqrt{ 1 -\cos{\phi}^2}\)

 

Alternatively, the three-phase reactive power \(Q_{kvar}\) can be calculated as:

\(Q_{kvar}=\sqrt{ S_{kVA}^2 – P_{kW}^2 }\)