Kwh To Amps Calculator 3 Phase Formula

3 Phase Formula:

\[ Amps = \frac{kWh \times 1000}{V \times \sqrt{3} \times PF \times Hours} \]

Kilowatt-hours (kWh):

kWh

Voltage (V):

volts

Power Factor (PF):

unitless

Time Period:

hours

Current (Amps):

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1. What is the 3 Phase kWh to Amps Formula?

The 3-phase formula converts electrical energy consumption (kWh) to current (Amps) in a three-phase AC system. This calculation is essential for electrical system design, load analysis, and equipment sizing.

2. How Does the Calculator Work?

The calculator uses the 3-phase formula:

\[ Amps = \frac{kWh \times 1000}{V \times \sqrt{3} \times PF \times Hours} \]

Where:

\( kWh \) — Kilowatt-hours (energy consumed)
\( V \) — Voltage (line-to-line voltage)
\( PF \) — Power factor (ratio of real power to apparent power)
\( Hours \) — Time period over which energy was consumed
\( \sqrt{3} \) — Constant for three-phase systems (≈1.732)

Explanation: The formula accounts for all three phases in an AC system and includes power factor correction for accurate current calculation.

3. Importance of Current Calculation

Details: Accurate current calculation is crucial for proper wire sizing, circuit breaker selection, and ensuring electrical systems operate safely within their rated capacities.

4. Using the Calculator

Tips: Enter energy consumption in kWh, system voltage in volts, power factor (typically 0.8-1.0), and time period in hours. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is power factor and why does it matter?
A: Power factor represents the ratio of real power to apparent power. Lower PF means more current is needed for the same real power, affecting system efficiency.

Q2: Can I use this for single-phase systems?
A: No, this formula is specifically for three-phase systems. Single-phase calculations use a different formula without the √3 factor.

Q3: What's a typical power factor value?
A: For motors, 0.8-0.9 is common. Resistive loads (heaters) have PF=1. Electronic loads often have lower PF (0.6-0.7).

Q4: Why is line-to-line voltage used?
A: Three-phase power calculations traditionally use line-to-line voltage (between any two phases) rather than line-to-neutral voltage.

Q5: How does this relate to circuit breaker sizing?
A: The calculated current helps determine appropriate breaker size, which should be 125% of continuous loads per electrical codes.