Single Phase kW to 3 Phase kW Calculator

Conversion Formula:

\[ P_{3\phi} = P_{1\phi} \times \sqrt{3} \]

Three Phase Power (kW):

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1. What is a Single Phase to 3 Phase kW Calculator?

Definition: This calculator converts single-phase power in kilowatts (kW) to equivalent three-phase power.

Purpose: It helps electrical engineers and technicians compare or convert between single-phase and three-phase power systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{3\phi} = P_{1\phi} \times \sqrt{3} \]

Where:

\( P_{3\phi} \) — Three-phase power (kW)
\( P_{1\phi} \) — Single-phase power (kW)
\( \sqrt{3} \) — Constant (approximately 1.732)

Explanation: The formula accounts for the phase difference in three-phase systems which allows for √3 times more power delivery at the same voltage.

3. Importance of Power Conversion

Details: Understanding this conversion helps in equipment sizing, system design, and comparing single-phase vs three-phase systems.

4. Using the Calculator

Tips: Simply enter the single-phase power in kW. The value must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why multiply by √3 for three-phase?
A: In balanced three-phase systems, the total power is √3 times the line-to-line voltage times the current.

Q2: Does this assume balanced three-phase?
A: Yes, this calculation assumes a perfectly balanced three-phase system.

Q3: What about power factor?
A: This calculator assumes unity power factor (1.0) for both systems.

Q4: Can I use this for current conversion?
A: No, this is specifically for power conversion at the same voltage.

Q5: When would I need this conversion?
A: When comparing single-phase and three-phase equipment or when upgrading from single-phase to three-phase systems.