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kWh Calculation for 3 Phase

3-Phase kWh Formula:

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

V
A
(0-1)
hours

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1. What is 3-Phase kWh Calculation?

The 3-phase kWh calculation determines the energy consumption in kilowatt-hours for three-phase electrical systems, which are commonly used in industrial and commercial applications. It accounts for the balanced three-phase power delivery.

2. How Does the Calculator Work?

The calculator uses the 3-phase power formula:

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

Where:

Explanation: The formula calculates real power consumption by accounting for all three phases and the power factor, then converts watts to kilowatt-hours.

3. Importance of 3-Phase Power Calculation

Details: Accurate 3-phase energy calculation is essential for electrical system design, energy monitoring, billing, and efficiency analysis in industrial and commercial settings.

4. Using the Calculator

Tips: Enter line-to-line voltage in volts, current in amperes, power factor (typically 0.8-1.0), and operating hours. 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 (e.g., 400V line-to-line = 230V line-to-neutral).

Q2: Why is power factor important?
A: Power factor represents the ratio of real power to apparent power. Lower PF means more current is needed for the same real power, increasing losses.

Q3: What's a typical power factor value?
A: Motors typically have 0.8-0.9 PF, resistive loads have 1.0 PF, and heavily inductive loads can be as low as 0.6 PF.

Q4: Can I use this for single-phase calculations?
A: No, for single-phase use the formula: kWh = (V × I × PF × h) / 1000 (without the √3 factor).

Q5: How accurate is this calculation?
A: It's accurate for balanced 3-phase systems with steady loads. For varying loads, integrate measurements over time.

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