kWh to Amps Calculator 3 Phase Converter

3-Phase kWh to Amps Formula:

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

Kilowatt-hours (kWh):

kWh

Voltage (V):

Power Factor (PF):

(0 to 1)

Time Period (h):

hours

Current (I):

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

The 3-phase kWh to Amps formula calculates the current (in amperes) drawn by a three-phase electrical system based on energy consumption (kWh), voltage, power factor, and time period. This is essential for electrical system design and load analysis.

2. How Does the Calculator Work?

The calculator uses the 3-phase current formula:

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

Where:

\( I \) — Current in amperes (A)
\( kWh \) — Energy consumption in kilowatt-hours
\( V \) — Line-to-line voltage in volts (V)
\( PF \) — Power factor (unitless, between 0 and 1)
\( h \) — Time period in hours
\( \sqrt{3} \) — Constant for 3-phase systems (≈1.732)

Explanation: The formula converts energy (kWh) to power (kW), then calculates current by accounting for the 3-phase power factor and voltage.

3. Importance of Current Calculation

Details: Accurate current calculation is crucial for sizing wires, circuit breakers, and other electrical components to ensure safe and efficient operation of 3-phase systems.

4. Using the Calculator

Tips: Enter energy consumption in kWh, line-to-line voltage in volts, power factor (typically 0.8-0.95 for most systems), 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, increasing system losses.

Q2: What's the difference between line-to-line and line-to-neutral voltage?
A: In 3-phase systems, line-to-line voltage is √3 times the line-to-neutral voltage. This formula uses line-to-line voltage.

Q3: Can I use this for single-phase systems?
A: No, for single-phase use I = (kWh × 1000)/(V × PF × h) instead (remove the √3 factor).

Q4: What are typical power factor values?
A: Motors: 0.8-0.9, LED lighting: 0.9-0.95, Induction furnaces: 0.7-0.8, Resistive loads: 1.0.

Q5: How does this relate to circuit breaker sizing?
A: Circuit breakers should be sized to handle 125% of the calculated continuous current (NEC requirements).