Home Back

Three Phase Current Calculation Formula

Three Phase Current Formula:

\[ I = \frac{P_{kW} \times 1000}{V \times PF \times \sqrt{3}} \]

kW
volts
amps

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Three Phase Current Calculation?

Definition: This calculator determines the current in a three-phase electrical system based on power, voltage, and power factor.

Purpose: Essential for electrical engineers, technicians, and electricians to properly size conductors, breakers, and other electrical components.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ I = \frac{P_{kW} \times 1000}{V \times PF \times \sqrt{3}} \]

Where:

Explanation: The formula converts kW to watts (×1000), then divides by the product of voltage, power factor, and √3 (1.732) for three-phase systems.

3. Importance of Current Calculation

Details: Accurate current calculation ensures proper equipment sizing, prevents overheating, and maintains electrical system safety and efficiency.

4. Using the Calculator

Tips: Enter the power in kW, system voltage (default 480V), and power factor (default 0.85). Power factor must be between 0.01 and 1.

5. Frequently Asked Questions (FAQ)

Q1: Why is √3 used in three-phase calculations?
A: √3 (approximately 1.732) accounts for the phase difference in three-phase systems, converting between line-to-line and line-to-neutral voltages.

Q2: What's a typical power factor value?
A: For motors, 0.85 is common. Resistive loads have PF=1, while inductive loads typically range 0.7-0.9.

Q3: Can I use this for single-phase systems?
A: No, for single-phase use \( I = \frac{P_{kW} \times 1000}{V \times PF} \) (without the √3 factor).

Q4: How does voltage affect current?
A: Higher voltage systems require less current for the same power, allowing smaller conductors.

Q5: What if my power is in HP instead of kW?
A: First convert HP to kW (1 HP ≈ 0.746 kW) before using this calculator.

Three Phase Current Calculation Formula© - All Rights Reserved 2025