Enter the 3-phase power rating and select the quantity type into the calculator to determine the equivalent 2-phase rating for the same phase voltage, current, and power factor.

3 Phase to 2 Phase Converter

Enter the 3-phase value to calculate the equivalent 2-phase rating

Uses the balanced-system relationship: P = (2/3) × P

3 Phase to 2 Phase Formula

The following formula is used to calculate the equivalent 2-phase rating from a balanced 3-phase rating.

P_{2\phi} = \frac{2}{3} P_{3\phi}

For a balanced N-phase system, the total power can also be expressed as PN = N × Vphase × Iphase × PF.

Variables:

  • P is the equivalent 2-phase power rating
  • P is the original 3-phase power rating
  • Vphase is the phase voltage
  • Iphase is the phase current
  • PF is the power factor

To calculate the equivalent 2-phase rating, multiply the 3-phase rating by 2/3, assuming the same phase voltage, current, and power factor.

What is 3 Phase to 2 Phase Conversion?

3 phase to 2 phase conversion is the process of translating a balanced three-phase power rating into the equivalent rating for a two-phase system under the same per-phase electrical conditions. Since the total power in a balanced system is proportional to the number of phases, a 2-phase system delivers two-thirds of the power of an otherwise comparable 3-phase system. This relationship is useful when comparing equipment ratings, system capacities, and power requirements across different phase configurations.

How to Calculate 3 Phase to 2 Phase Conversion?

The following steps outline how to calculate the equivalent 2-phase value from a 3-phase rating.


  1. First, determine the balanced 3-phase power rating.
  2. Next, confirm that the phase voltage, phase current, and power factor are assumed to remain the same.
  3. Then multiply the 3-phase rating by 2/3 using the formula P = (2/3) × P.
  4. Finally, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

3-Phase Power Rating (P) = 30 kW

Equivalent 2-Phase Power Rating (P) = 20 kW

3 Phase to 2 Phase Conversion Table

The table below lists sample conversions using the relationship P = (2/3) × P.

3-Phase Power Conversion Factor Equivalent 2-Phase Power
3 kW × 2/3 2 kW
6 kW × 2/3 4 kW
9 kW × 2/3 6 kW
12 kW × 2/3 8 kW
15 kW × 2/3 10 kW
30 kW × 2/3 20 kW
45 kW × 2/3 30 kW

This conversion is commonly used when comparing system capacities or adapting specifications between equipment expressed in different phase formats. If you know the 3-phase rating and the phase conditions are the same, the equivalent 2-phase rating is simply two-thirds of that original value.