# 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 power 10.39 kVA Active power 8.83 kW Reactive power 5.47 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:

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