Kwh Calculation Formula 3 Phase

Three Phase kWh Formula:

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

Voltage (V):

volts

Current (I):

amps

Power Factor (PF):

dimensionless

Time:

hours

Energy Consumption (kWh):

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1. What is the Three Phase kWh Formula?

The three phase kWh formula calculates energy consumption in kilowatt-hours for three-phase electrical systems. It provides an accurate measurement of electrical energy usage in industrial and commercial applications where three-phase power is commonly used.

2. How Does the Calculator Work?

The calculator uses the three phase kWh formula:

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

Where:

\( V \) — Voltage (volts)
\( I \) — Current (amps)
\( \sqrt{3} \) — Square root of 3 (approximately 1.732)
\( PF \) — Power factor (dimensionless, 0-1)
\( time \) — Time duration (hours)
1000 — Conversion factor from watts to kilowatts

Explanation: The formula accounts for the three-phase power system characteristics, including the √3 factor that represents the phase relationship in balanced three-phase systems.

3. Importance of kWh Calculation

Details: Accurate kWh calculation is essential for energy monitoring, billing purposes, load analysis, and efficiency improvements in three-phase electrical systems commonly found in industrial and commercial settings.

4. Using the Calculator

Tips: Enter voltage in volts, current in amps, power factor (0-1), and time in hours. All values must be positive numbers with appropriate ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: Why is √3 used in the three-phase formula?
A: The √3 factor accounts for the phase difference in balanced three-phase systems, where the voltage between phases is √3 times the phase-to-neutral voltage.

Q2: What is power factor and why is it important?
A: Power factor represents the ratio of real power to apparent power. It's crucial because it affects the actual energy consumption and efficiency of electrical systems.

Q3: When should this formula be used?
A: This formula should be used for balanced three-phase AC systems to calculate energy consumption accurately.

Q4: Are there limitations to this formula?
A: The formula assumes a balanced three-phase system. For unbalanced systems, calculations need to be performed for each phase separately.

Q5: How does this differ from single-phase calculation?
A: Single-phase calculations don't include the √3 factor and typically use phase-to-neutral voltage instead of line-to-line voltage.