1. What is the Power Formula for Induction Motors?

The power formula for three-phase induction motors calculates the real power consumption based on voltage, current, and power factor. It's essential for determining motor efficiency and electrical system requirements.

2. How Does the Calculator Work?

The calculator uses the 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 represents the phase difference between voltage and current.

3. Importance of Power Calculation

Details: Accurate power calculation helps in sizing electrical components, determining energy consumption, assessing motor efficiency, and calculating operating costs.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is typical power factor for induction motors?
A: Typically 0.8-0.95 when fully loaded. Lower at light loads (can be 0.2-0.3 when unloaded).

Q2: How does power factor affect calculations?
A: Lower power factor means more current is required to deliver the same real power, increasing system losses.

Q3: Is this formula for single-phase or three-phase?
A: This is for three-phase systems. For single-phase, omit the √3 factor.

Q4: What's the difference between real power and apparent power?
A: Real power (P, in watts) does actual work. Apparent power (S, in VA) is voltage × current. The ratio is power factor (P/S).

Q5: How can I improve motor power factor?
A: Use power factor correction capacitors, avoid underloading motors, and consider high-efficiency motors.