Electric Motor Power Formula:
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The electric motor power calculation determines the real power (in kW) consumed by a three-phase AC motor based on voltage, current, and power factor. This is essential for sizing motors, calculating energy consumption, and electrical system design.
The calculator uses the three-phase power formula:
Where:
Explanation: The formula accounts for the phase relationship in three-phase systems and converts the result to kilowatts by dividing by 1000.
Details: Accurate power calculation is crucial for proper motor selection, energy efficiency analysis, electrical system design, and determining operating costs.
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 (voltage > 0, current > 0, 0 < PF ≤ 1).
Q1: What is power factor?
A: Power factor is the ratio of real power to apparent power, representing how effectively current is being converted into useful work (typically 0.8-0.95 for motors).
Q2: Why use √3 in the calculation?
A: The √3 factor accounts for the phase difference in three-phase systems, converting line-to-line voltage to phase voltage.
Q3: Can this be used for single-phase motors?
A: No, single-phase motors use P = V × I × PF / 1000 (without the √3 factor).
Q4: What's typical power factor for motors?
A: Induction motors typically have PF of 0.85 at full load, lower at partial loads. Synchronous motors can achieve PF of 1.0.
Q5: How does voltage affect power?
A: Power is directly proportional to voltage. A 10% voltage drop results in about 10% power reduction (assuming current remains constant).