Three Phase Calculator
An interactive tool to calculate current, power, and kVA for three-phase AC circuits.
Result
0.00
Amps
Power Triangle Visualization
This chart shows the relationship between Real Power (kW), Reactive Power (kVAR), and Apparent Power (kVA).
Core Formulas
The calculations are based on the following standard **formula for three phase power calculation** for balanced three-phase systems. The square root of 3 (√3 ≈ 1.732) is a key factor in these calculations.
Current (Amps)
I = (kW × 1000) / (V × PF × √3)
Real Power (kW)
kW = (V × I × PF × √3) / 1000
Apparent Power (kVA)
kVA = (V × I × √3) / 1000
Key Concepts Explained
Real Power (kW)
Also known as "working power," this is the power that actually performs work, such as creating heat, light, or motion. It is measured in kilowatts (kW).
Apparent Power (kVA)
This is the "total" power in an AC circuit, representing the vector sum of real power and reactive power. It is measured in kilovolt-amperes (kVA). Utilities must supply the apparent power, even though not all of it does useful work.
Reactive Power (kVAR)
This is the power required by inductive loads (like motors and transformers) to create magnetic fields. It doesn't perform useful work but circulates between the source and the load. It is measured in kilovolt-amperes reactive (kVAR).
Power Factor (PF)
The ratio of Real Power (kW) to Apparent Power (kVA). It is a measure of how effectively electrical power is being used. A power factor of 1.0 (or 100%) means all power is being used for work. A lower power factor indicates a less efficient system due to high reactive power.