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Three Phase Power Equations

3-Phase Power Formula:

\[ P_{kW} = \frac{V \times I \times PF \times \sqrt{3}}{1000} \]

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amps
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1. What is Three Phase Power Calculation?

Definition: This calculator computes the real power in kilowatts (kW) for a three-phase electrical system based on voltage, current, and power factor.

Purpose: It helps electrical engineers, technicians, and electricians determine the actual power consumption in three-phase systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{kW} = \frac{V \times I \times PF \times \sqrt{3}}{1000} \]

Where:

Explanation: The formula accounts for all three phases and the phase relationship between voltage and current.

3. Importance of Three Phase Power Calculation

Details: Accurate power calculation is essential for proper equipment sizing, energy efficiency analysis, and electrical system design.

4. Using the Calculator

Tips: Enter the line-to-line voltage in volts, current in amps, and power factor (default 0.8). All values must be > 0, with PF between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between line and phase voltage?
A: In three-phase systems, line voltage is between any two lines, while phase voltage is between any line and neutral.

Q2: What is a typical power factor value?
A: Motors typically have PF of 0.8-0.9, while purely resistive loads have PF=1.

Q3: Why do we multiply by √3?
A: The √3 accounts for the 120° phase difference between the three phases.

Q4: How do I measure three-phase current?
A: Use a clamp meter on any one of the three phase conductors.

Q5: Does this calculate real or apparent power?
A: This calculates real power (kW). For apparent power (kVA), omit the power factor.

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