3 Phase Power Consumption Calculator kWh

3 Phase Power Consumption Formula:

\[ E = \sqrt{3} \times V \times I \times PF \times t / 1000 \]

Voltage (V):

Current (I):

Power Factor (PF):

dimensionless

Time (t):

hours

Energy Consumption (E):

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1. What is 3 Phase Power Consumption?

The 3 Phase Power Consumption formula calculates the energy consumption in kilowatt-hours (kWh) for three-phase electrical systems. It provides an accurate measurement of electrical energy usage in industrial and commercial applications.

2. How Does the Calculator Work?

The calculator uses the 3 Phase Power Consumption formula:

\[ E = \sqrt{3} \times V \times I \times PF \times t / 1000 \]

Where:

\( E \) — Energy consumption (kWh)
\( V \) — Voltage (volts)
\( I \) — Current (amperes)
\( PF \) — Power factor (dimensionless)
\( t \) — Time (hours)

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

3. Importance of Energy Calculation

Details: Accurate energy consumption calculation is crucial for energy management, cost estimation, electrical system design, and efficiency analysis in three-phase power systems.

4. Using the Calculator

Tips: Enter voltage in volts, current in amperes, power factor (between 0 and 1), and time in hours. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is √3 used in the formula?
A: The square root of 3 factor accounts for the phase relationship in balanced three-phase systems, converting line-to-line voltage and current to power.

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 for accurate energy calculation as it accounts for phase differences between voltage and current.

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

Q4: Are there limitations to this calculation?
A: This calculation assumes a balanced three-phase system and constant values for voltage, current, and power factor over the time period.

Q5: How does this differ from single-phase calculation?
A: Three-phase calculation includes the √3 factor and typically handles higher power levels more efficiently than single-phase systems.