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.
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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:
- P2φ is the equivalent 2-phase power rating
- P3φ 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.
- First, determine the balanced 3-phase power rating.
- Next, confirm that the phase voltage, phase current, and power factor are assumed to remain the same.
- Then multiply the 3-phase rating by 2/3 using the formula P2φ = (2/3) × P3φ.
- 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 (P3φ) = 30 kW
Equivalent 2-Phase Power Rating (P2φ) = 20 kW
3 Phase to 2 Phase Conversion Table
The table below lists sample conversions using the relationship P2φ = (2/3) × P3φ.
| 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.