Calculate equivalent single-phase or three-phase current from kW, voltage, and power factor for balanced systems, with kVA and formula details.
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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 3 phase voltage (V)
- V1 is the single phase voltage (V)
- I1 is the equivalent single phase current (A)
To calculate the missing value, leave exactly one input field empty and click the Calculate button.
| 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 I₁ ≈ √3 × (V₃φ/V₁φ) × I₃ = 3.464 × I₃ for 480 V → 240 V. | |
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, choose the parameter to calculate by leaving the corresponding field empty. In this example, the equivalent single phase current is left empty.
Next, enter the known values. Suppose the 3 phase current is 10 A, the 3 phase voltage is 400 V, and the single phase voltage is 230 V.
Finally, calculate the missing parameter using the formula above:
I1 = (√3 * I3 * V3) / V1
I1 = (√3 * 10 * 400) / 230
I1 ≈ 30.13 A
FAQ
How does the 3 Phase To 1 Phase Calculator work?
The calculator uses the formula √3 * I3 * V3 = I1 * V1 to compute the missing electrical parameter when exactly one input field is left empty.
Why must exactly one field be left empty?
Leaving exactly one field empty allows the calculator to identify the missing parameter and rearrange the formula accordingly to compute its value.
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.
