Ampere to kW 3 Phase

3-Phase Power Formula:

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

Power Result:

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1. What is 3-Phase Power Calculation?

The 3-phase power calculation converts current (amperes) to power (kilowatts) in a three-phase electrical system. This is essential for electrical engineering, power distribution, and equipment sizing.

2. How Does the Calculator Work?

The calculator uses the 3-phase power formula:

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

Where:

\( V \) — Line-to-line voltage (volts)
\( I \) — Current (amperes)
\( PF \) — Power factor (unitless, 0 to 1)
\( \sqrt{3} \) — Constant for 3-phase systems (≈1.732)
1000 — Conversion factor from watts to kilowatts

Explanation: The formula accounts for the phase relationship in 3-phase systems and the power factor which represents the ratio of real power to apparent power.

3. Importance of Power Factor

Details: Power factor (PF) is crucial in AC circuits as it indicates how effectively electrical power is being converted into useful work. A PF of 1 means all power is real power (kW), while lower PF values indicate reactive power components.

4. Using the Calculator

Tips:

Enter line-to-line voltage (typically 208V, 380V, 400V, 415V, 480V, etc.)
Current should be measured phase current
Power factor defaults to 0.8 (common for motors)
All values must be positive numbers

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between line-to-line and line-to-neutral voltage?
A: In 3-phase systems, line-to-line voltage is √3 times the line-to-neutral voltage. This calculator uses line-to-line voltage.

Q2: Why is power factor important?
A: Low power factor means you're drawing more current for the same real power, increasing energy losses and potentially requiring larger equipment.

Q3: What are typical power factor values?
A: Induction motors: 0.8-0.9, fluorescent lights: 0.9-0.95, resistive loads: 1.0.

Q4: Can I use this for single-phase calculations?
A: No, single-phase uses a different formula (kW = V × I × PF / 1000).

Q5: How accurate is this calculation?
A: It's theoretically accurate for balanced 3-phase systems. Real-world measurements may vary due to imbalances and harmonics.