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Induction Motor Input Power Formula:
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Induction motor input power refers to the electrical power consumed by a three-phase induction motor from the power supply. It represents the total power drawn by the motor before accounting for losses and efficiency.
The calculator uses the three-phase power formula:
Where:
Explanation: This formula calculates the real power consumed by a three-phase induction motor, taking into account the phase relationship between voltage and current through the power factor.
Details: Calculating input power is essential for determining motor efficiency, sizing electrical components, calculating energy consumption, and optimizing motor performance in industrial applications.
Tips: Enter line voltage in volts, line current in amps, and power factor (between 0 and 1). All values must be positive numbers with voltage and current greater than zero.
Q1: What is the difference between input power and output power?
A: Input power is the electrical power supplied to the motor, while output power is the mechanical power delivered at the shaft. Output power equals input power minus losses.
Q2: Why is power factor important in motor calculations?
A: Power factor represents the phase difference between voltage and current. A lower power factor means more reactive power is drawn, reducing system efficiency and increasing energy costs.
Q3: What is a typical power factor for induction motors?
A: Power factor typically ranges from 0.8 to 0.9 for loaded motors, but can drop to 0.2-0.3 for lightly loaded or unloaded motors.
Q4: How does motor load affect input power?
A: As motor load increases, current consumption rises proportionally, increasing input power. The relationship is approximately linear within the motor's operating range.
Q5: Can this formula be used for single-phase motors?
A: No, for single-phase motors use \( P_{in} = V \times I \times \cos\phi \) without the \( \sqrt{3} \) factor.