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Calculate 3 Phase Amperage from kW Hours

3-Phase Amperage Formula:

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

kWh
V (line-to-line)
(0 to 1)
hours

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1. What is 3-Phase Amperage Calculation?

The 3-phase amperage calculation determines the current flowing in a three-phase electrical system based on energy consumption (kWh), voltage, power factor, and time. This is essential for electrical system design, load analysis, and equipment sizing.

2. How Does the Calculator Work?

The calculator uses the 3-phase power formula:

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

Where:

Explanation: The formula converts kWh to watts (×1000), then divides by the product of √3 (for 3-phase), voltage, power factor, and time to find current.

3. Importance of 3-Phase Current Calculation

Details: Accurate current calculation is crucial for proper wire sizing, circuit breaker selection, transformer sizing, and ensuring electrical system safety and efficiency.

4. Using the Calculator

Tips: Enter energy in kWh, line-to-line voltage in volts, power factor (typically 0.8-0.95 for most systems), and time in hours. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical power factor value?
A: Industrial loads typically range from 0.8-0.95. Resistive loads have PF=1, while inductive loads have lower PF.

Q2: Why use line-to-line voltage?
A: 3-phase power calculations conventionally use line-to-line voltage (also called phase-to-phase voltage).

Q3: How does this differ from single-phase calculation?
A: Single-phase uses V×PF×h in denominator without the √3 factor.

Q4: What if I know kW instead of kWh?
A: For instantaneous power, use I = (kW × 1000) / (√3 × V × PF).

Q5: When is this calculation most useful?
A: When sizing equipment based on energy consumption over time, or analyzing existing system performance.

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