3 Phase Line Voltage Calculator

Analyze line voltage for balanced three phase systems. View phase values and optional power metrics. Export results, review formulas, and follow simple steps below.

Calculator Input

Example Data Table

Connection Mode Input Voltage (V) Line Voltage (V) Phase Voltage (V)
Wye / Star Phase to Line 230.00 398.37 230.00
Wye / Star Line to Phase 415.00 415.00 239.60
Delta Phase to Line 400.00 400.00 400.00
Delta Line to Phase 480.00 480.00 480.00

Formula Used

Balanced Wye / Star: Line Voltage = √3 × Phase Voltage

Balanced Wye / Star: Phase Voltage = Line Voltage ÷ √3

Balanced Delta: Line Voltage = Phase Voltage

Balanced Delta: Phase Voltage = Line Voltage

Apparent Power: S = √3 × VL × IL

Real Power: P = √3 × VL × IL × PF

Reactive Power: Q = √3 × VL × IL × sin(φ)

Power outputs are shown in kVA, kW, and kVAR after dividing by 1000.

How to Use This Calculator

  1. Select the connection type. Choose Wye / Star or Delta.
  2. Select the calculation mode. Choose phase to line or line to phase.
  3. Enter the known voltage value in volts.
  4. Add line current if you also want power values.
  5. Add power factor if you need real and reactive power.
  6. Set the decimal precision that fits your report or worksheet.
  7. Press Calculate to show the result above the form.
  8. Use the CSV or PDF option to save your output.

About This 3 Phase Line Voltage Calculator

A 3 phase line voltage calculator helps engineers convert between phase voltage and line voltage in balanced electrical systems. It supports fast checks during design, installation, testing, and maintenance work. This tool is useful for panels, motors, feeders, drives, and industrial power distribution studies.

Why line voltage matters

Line voltage is the voltage measured between any two line conductors. It is critical when you size equipment, compare supply conditions, or verify nameplate ratings. A wrong voltage assumption can affect motor performance, power calculations, insulation stress, and overall system safety.

Wye and delta behavior

Three phase systems are commonly wired as Wye or Delta. In a balanced Wye connection, line voltage equals phase voltage multiplied by the square root of three. In a Delta connection, line voltage equals phase voltage. This calculator handles both cases without manual rearrangement.

Useful engineering outputs

The tool can also estimate apparent power, real power, and reactive power when line current and power factor are entered. That makes it practical for quick load reviews. You can move from a basic voltage conversion to a more complete operating picture in one step.

Where this tool helps

Use it during cable planning, switchgear checks, generator reviews, motor circuit setup, HVAC equipment validation, and commissioning tasks. It is also handy when comparing measured field values against expected design values. Small calculation errors often create larger troubleshooting delays later.

Accuracy and assumptions

This calculator assumes a balanced three phase system. It does not model harmonics, severe voltage imbalance, or transient events. For advanced protection studies, waveform analysis, or fault calculations, a detailed engineering model is still required. For routine voltage conversion, this tool stays fast and reliable.

Why exports matter

CSV export helps with spreadsheets, reports, and job records. The PDF option supports print review and documentation. The example data table, formulas, and instructions also make the page useful for training, classroom work, and technical reference during field visits.

Frequently Asked Questions

1. What is line voltage in a three phase system?

Line voltage is the voltage measured between any two line conductors. It is different from phase voltage in Wye systems, but equal to phase voltage in balanced Delta systems.

2. What is the formula for Wye line voltage?

For a balanced Wye system, line voltage equals phase voltage multiplied by √3. If phase voltage is known, use VL = √3 × Vph.

3. What is the formula for Delta line voltage?

In a balanced Delta system, line voltage equals phase voltage. No √3 multiplier is needed for this specific voltage relationship.

4. Can this calculator work backward from line voltage?

Yes. Choose the line to phase mode. The tool will calculate phase voltage from the entered line voltage based on the selected connection type.

5. Why add line current and power factor?

Those values let the calculator estimate apparent power, real power, and reactive power. This adds more engineering context than a voltage-only conversion.

6. Does the tool handle unbalanced loads?

No. It assumes a balanced three phase system. Unbalanced loads need phase-by-phase analysis and more detailed electrical calculations.

7. Is this calculator useful for motor applications?

Yes. It is useful for motor feeders, control panels, variable speed drives, and quick voltage checks during commissioning or maintenance work.

8. How do I save the results?

Use the CSV button for spreadsheet-friendly data. Use the PDF button to print or save the page as a PDF from your browser.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.