Calculate kW from Volts and Amps 3 Phase

3-Phase Power Formula:

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

Power (P_kW): kW

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is 3-Phase Power Calculation?

Definition: This calculator determines the real power (in kilowatts) in a 3-phase electrical system based on voltage, current, and power factor.

Purpose: It helps electrical engineers, technicians, and electricians calculate the actual power consumption in 3-phase systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( P_{kW} \) — Real power in kilowatts
\( V \) — Line voltage (volts)
\( I \) — Line current (amps)
\( PF \) — Power factor (0 to 1)
\( \sqrt{3} \) — Constant for 3-phase systems (≈1.732)

Explanation: The formula accounts for the phase relationship in 3-phase systems and converts the result to kilowatts.

3. Importance of 3-Phase Power Calculation

Details: Accurate power calculation is essential for proper equipment sizing, energy efficiency analysis, and electrical system design.

4. Using the Calculator

Tips: Enter the line voltage (V), line current (I), and power factor (default 0.8). The power factor must be between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is power factor?
A: Power factor is the ratio of real power to apparent power, representing how effectively current is being converted into useful work.

Q2: Why is √3 used in the formula?
A: The square root of 3 (≈1.732) accounts for the phase difference between the three phases in a balanced system.

Q3: What's a typical power factor value?
A: Industrial loads typically range from 0.7 to 0.9. Motors at full load are often around 0.85.

Q4: Is this formula for line or phase values?
A: This formula uses line voltage (V_L-L) and line current (I_L).

Q5: How do I calculate kVA or kVAR?
A: For apparent power (kVA), omit the PF. For reactive power (kVAR), use sin(cos^-1(PF)) instead of PF.