kW Calculation for 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 computes the real power (in kilowatts) in a three-phase electrical system.

Purpose: It helps electricians, engineers, and technicians determine the actual power consumption in three-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 (kilowatts)
\( V \) — Line-to-line voltage (volts)
\( I \) — Current (amps)
\( PF \) — Power factor (unitless, between 0 and 1)
\( \sqrt{3} \) — Constant for three-phase systems

Explanation: The formula accounts for all three phases and the phase difference between voltage and current.

3. Importance of 3 Phase Power Calculation

Details: Accurate power calculation is essential for proper electrical system design, load balancing, and energy efficiency.

4. Using the Calculator

Tips: Enter the line-to-line voltage in volts, current in amps, and power factor (default 0.8). All values must be > 0.

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: What's a typical power factor value?
A: For motors, 0.8-0.9 is common. Resistive loads have PF=1, while inductive loads have lower PF.

Q3: Is this formula for line-to-line or line-to-neutral voltage?
A: This uses line-to-line voltage (typically 400V, 480V in industrial systems).

Q4: How does this differ from single-phase calculation?
A: Single-phase uses P=VI×PF, without the √3 factor and dividing by 1000 for kW.

Q5: When would I need this calculation?
A: When sizing electrical equipment, calculating energy consumption, or analyzing system efficiency.