Convert 3 phase to single phase current, or single phase to 3 phase, from volts and amps or kW, and find single-phase voltage from 3-phase line voltage.
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3-Phase To 1-Phase Formula
The following equation is used to relate three-phase and single-phase electrical parameters.
- I3 is the 3-phase current (A)
- V3 is the balanced 3-phase RMS line-to-line voltage (V)
- V1 is the single-phase voltage (V)
- I1 is the equivalent single-phase current (A); PF3 and PF1 are the respective power factors, greater than zero and no more than 1.
Select the desired current and known input in Solve for, enter all displayed values, then select Calculate.
| 3-Phase Line Current (A) | Single-Phase Current (A) |
|---|---|
| 5 | 17.3 |
| 10 | 34.6 |
| 15 | 52.0 |
| 20 | 69.3 |
| 25 | 86.6 |
| 30 | 103.9 |
| 35 | 121.2 |
| 40 | 138.6 |
| 45 | 155.9 |
| 50 | 173.2 |
| 60 | 207.8 |
| 70 | 242.5 |
| 80 | 277.1 |
| 90 | 311.8 |
| 100 | 346.4 |
| 125 | 433.0 |
| 150 | 519.6 |
| 175 | 606.2 |
| 200 | 692.8 |
| 250 | 866.0 |
| * Rounded to 1 decimal. Same-power conversion uses Iโ โ โ3 ร (Vโฯ/Vโฯ) ร Iโ = 3.464 ร Iโ for 480 V โ 240 V with equal power factors. | |
What is a 3-Phase To 1-Phase Calculator?
Definition:
A 3-Phase To 1-Phase Calculator is a tool used to compute the missing electrical parameter in a balanced system by converting values between three-phase and single-phase circuits using a standard formula.
How to Calculate Using the 3-Phase To 1-Phase Calculator?
Example Problem:
The following example outlines the steps and information needed to calculate the missing value.
First, select Single-phase from 3-phase.
Next, enter the known values. Suppose the 3-phase line current is 10 A, line-to-line voltage is 400 V, and single-phase voltage is 230 V. Enter 0.90 for both power factors.
Finally, calculate the missing parameter using the formula above:
I1 = (โ3 * I3 * V3 * PF3) / (V1 * PF1)
I1 = (โ3 * 10 * 400 * 0.90) / (230 * 0.90)
I1 โ 30.12 A
FAQ
How does the 3-Phase To 1-Phase Calculator work?
The calculator uses the formula โ3 * I3 * V3 * PF3 = I1 * V1 * PF1 to compare currents at equal real power, or calculate current directly from entered kW.
Which fields should be entered?
Select a mode and complete every displayed field. Hidden fields are inactive; the calculator does not infer a mode from a blank input.
Can this calculator be used for unbalanced systems?
This calculator is designed for balanced three-phase systems. For unbalanced systems, additional considerations are necessary.
Is this calculator suitable for professional electrical design?
While it provides a quick estimation, professional electrical design should involve a detailed analysis by a qualified engineer.
