Kilowatt Hour Calculator 3 Phase

3 Phase Power 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

Kilowatt-hours (kWh):

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1. What is the 3 Phase Power Formula?

The 3 phase power formula calculates electrical energy consumption in kilowatt-hours for three-phase systems. It accounts for voltage, current, power factor, and time to provide an accurate measurement of energy usage.

2. How Does the Calculator Work?

The calculator uses the 3 phase power 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 calculates the total energy consumption by accounting for all three phases in the system, the power factor which represents the phase difference between voltage and current, and converts the result to kilowatt-hours.

3. Importance of kWh Calculation

Details: Accurate kWh calculation is essential for energy billing, electrical system design, load analysis, energy efficiency assessments, and determining operational costs of electrical equipment.

4. Using the Calculator

Tips: Enter voltage in volts, current in amps, power factor as a decimal between 0 and 1, and time in hours. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is power factor and why is it important?
A: Power factor represents the efficiency of power usage in an AC circuit. A lower power factor indicates more reactive power and less efficient energy usage.

Q2: When should I use the 3 phase formula instead of single phase?
A: Use the 3 phase formula for industrial and commercial applications where three-phase power systems are commonly used for motors and heavy equipment.

Q3: What is the significance of √3 in the formula?
A: √3 accounts for the phase relationship in three-phase systems where the voltages are 120 degrees out of phase with each other.

Q4: How accurate is this calculation for real-world applications?
A: The calculation provides a theoretical maximum. Actual consumption may vary due to system losses, voltage fluctuations, and other real-world factors.

Q5: Can this formula be used for both delta and wye configurations?
A: Yes, the basic formula works for both delta and wye configurations, though the voltage measurements may need to be line-to-line or line-to-neutral depending on the configuration.