kWh Calculation for 3 Phase

3-Phase Energy Formula:

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

Voltage (V):

volts

Current (I):

amps

Power Factor (PF):

Time (t):

hours

Energy Consumption (E_kWh): kWh

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1. What is 3-Phase kWh Calculation?

Definition: This calculator estimates the energy consumption in kilowatt-hours (kWh) for three-phase electrical systems.

Purpose: It helps electrical engineers, technicians, and facility managers determine energy usage for three-phase equipment and systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( E_{kWh} \) — Energy consumption (kilowatt-hours)
\( V \) — Voltage (volts)
\( I \) — Current (amps)
\( PF \) — Power factor (0 to 1)
\( t \) — Time (hours)
\( \sqrt{3} \) — Constant for three-phase systems (≈1.732)

Explanation: The formula calculates real power consumption by accounting for all three phases and the power factor.

3. Importance of 3-Phase Energy Calculation

Details: Accurate energy calculation helps in power system design, energy monitoring, cost estimation, and efficiency analysis.

4. Using the Calculator

Tips: Enter line-to-line voltage in volts, current in amps, power factor (default 0.8), and operating time in hours. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between single-phase and three-phase calculation?
A: Three-phase systems use √3 (1.732) in the formula and provide more power with less conductor material.

Q2: What is power factor and why does it matter?
A: Power factor (0-1) represents efficiency of power usage. Lower PF means more apparent power is needed for same real power.

Q3: Is this formula for line-to-line or line-to-neutral voltage?
A: This uses line-to-line voltage (typically 208V, 400V, 480V in three-phase systems).

Q4: How do I find the current if I only know power in kW?
A: Use I = P / (V × PF × √3). Our calculator can work in reverse if needed.

Q5: Does this include motor efficiency?
A: No, this calculates electrical input power. For output power, multiply by motor efficiency.