Calculate Power Consumed by Three-Phase AC Induction Motor
What is the current drawn by a 20 hp, 440 V three-phase motor operating at full load?
The given motor draws a current of 28.96 A at full load.
What is the power consumed by the motor?
The power consumed by the motor is 14.9 kW.
What is the power factor of the motor?
The motor has a power factor of 0.9.
What is the apparent power consumed by the motor?
The apparent power consumed by the motor is 16.56 kVA.
How to calculate the values of real power (P) and reactive power (Q) consumed by the motor?
Use the formulas: P = S * cos(phi) and Q = S * sin(phi), where S is the apparent power and phi is the power factor angle.
Answers:
The current drawn by the motor is 28.96 A, and the power consumed by the motor is 14.9 kW.
The values of real power (P) and reactive power (Q) consumed by the motor are 14.9 kW and 7.2 kVAR respectively.
When operating at full load, the three-phase AC induction motor draws a current of 28.96 A. The power consumed by the motor is calculated to be 14.9 kW. With an efficiency of 90% and a power factor of 0.9, the apparent power consumed by the motor is 16.56 kVA.
To calculate the values of real power (P) and reactive power (Q) consumed by the motor, we can use the formulas P = S * cos(phi) and Q = S * sin(phi), where S is the apparent power and phi is the power factor angle. Given the power factor of 0.9, we can determine that the real power P consumed by the motor is 14.9 kW and the reactive power Q consumed is 7.2 kVAR.
It is important to understand the power factor of a motor as it indicates how efficiently the electrical power is being converted into useful work output. A higher power factor signifies better utilization of electrical power and reduces energy wastage.