Wattage Calculator 3 Phase Transformer

3-Phase Power Formula:

\[ P = \sqrt{3} \times V \times I \times PF \]

Power (P):

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1. What is 3-Phase Power Calculation?

The 3-phase power calculation determines the real power (wattage) in a three-phase electrical system. It accounts for the voltage, current, and power factor in balanced three-phase circuits, which is essential for transformer sizing and electrical system design.

2. How Does the Calculator Work?

The calculator uses the 3-phase power formula:

\[ P = \sqrt{3} \times V \times I \times PF \]

Where:

\( P \) — Real power in watts (W)
\( V \) — Line-to-line voltage in volts (V)
\( I \) — Current in amperes (A)
\( PF \) — Power factor (unitless, between 0 and 1)
\( \sqrt{3} \) — Constant for 3-phase systems (≈1.732)

Explanation: The formula calculates the actual power being used in the system, accounting for the phase difference between voltage and current through the power factor.

3. Importance of Power Factor

Details: Power factor represents the ratio of real power to apparent power. A lower power factor means more current is required to deliver the same amount of real power, leading to inefficiencies in the system.

4. Using the Calculator

Tips: Enter line-to-line voltage in volts, current in amperes, and power factor (typically between 0.8 and 1 for most industrial systems). All values must be valid (voltage > 0, current > 0, 0 ≤ PF ≤ 1).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between line-to-line and line-to-neutral voltage?
A: In 3-phase systems, line-to-line voltage is between any two phases, while line-to-neutral is between a phase and neutral. The calculator uses line-to-line voltage.

Q2: What is a typical power factor value?
A: For transformers, power factor is often close to 1 (0.95-1.0). Industrial loads might have lower power factors (0.7-0.9).

Q3: Can I use this for single-phase calculations?
A: No, this is specifically for balanced three-phase systems. Single-phase uses P = V × I × PF without the √3 factor.

Q4: Why is the √3 factor needed?
A: The √3 accounts for the 120° phase difference between the three phases in a balanced system.

Q5: How does this relate to transformer sizing?
A: The calculated power helps determine the appropriate transformer rating (kVA), though transformer sizing also considers future load growth and other factors.