1. What is the Induction Motor Power Formula?

The induction motor power formula calculates the real power consumed by a three-phase induction motor. It accounts for voltage, current, and power factor to determine the actual working power in watts.

2. How Does the Calculator Work?

The calculator uses the induction motor power formula:

Where:

• \( P \) — Power in watts
• \( V \) — Line voltage in volts
• \( I \) — Line current in amps
• \( PF \) — Power factor (unitless, between 0 and 1)

Explanation: The √3 factor accounts for the three-phase power system, while the power factor adjusts for the phase difference between voltage and current.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for motor sizing, energy efficiency analysis, electrical system design, and determining operating costs.

4. Using the Calculator

Tips: Enter line-to-line voltage in volts, line current in amps, and power factor (typically 0.8-0.95 for induction motors). All values must be positive (voltage > 0, current > 0, 0 < PF ≤ 1).

5. Frequently Asked Questions (FAQ)

Q1: What is a typical power factor for induction motors?
A: Typically 0.8-0.95 when fully loaded. It drops significantly under light loads.

Q2: How does this differ from single-phase power calculation?
A: Single-phase uses P = V × I × PF without the √3 factor.

Q3: Why is power factor important?
A: Lower power factor means more current is needed for the same real power, increasing losses and infrastructure costs.

Q4: Can this calculate motor efficiency?
A: No, this calculates input power. Efficiency would require knowing output power (mechanical power).

Q5: What about motor starting current?
A: Starting current can be 5-7 times rated current but at low power factor, so starting power may not be proportionally higher.