Kwh Calculator 3 Phase

3 Phase kWh Equation:

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

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 kWh Calculation?

The 3 phase kilowatt-hour calculation determines the electrical energy consumption in a three-phase power system. 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 kWh equation:

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

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)

Explanation: The equation calculates the actual power consumption in a balanced three-phase system, accounting for the phase relationship between voltage and current through the power factor.

3. Importance of 3 Phase Power Calculation

Details: Accurate kWh calculation is essential for energy billing, load analysis, system design, and efficiency monitoring in industrial and commercial three-phase electrical systems.

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: What is the significance of √3 in the formula?
A: √3 accounts for the phase difference in three-phase systems. It converts line-to-line voltage to phase voltage in balanced systems.

Q2: How does power factor affect energy consumption?
A: Lower power factor means more current is required to deliver the same real power, resulting in higher energy losses and reduced system efficiency.

Q3: When is this calculation most accurate?
A: This calculation is most accurate for balanced three-phase systems with sinusoidal waveforms and steady-state conditions.

Q4: What are typical power factor values?
A: Power factor typically ranges from 0.7-0.95. Values below 0.9 may indicate poor power quality and inefficiency.

Q5: Can this calculator be used for single-phase systems?
A: No, this calculator is specifically for three-phase systems. Single-phase calculations use a different formula without the √3 factor.