The efficiency of an induction motor is calculated by comparing the output power (mechanical power) it delivers to the input power (electrical power) it consumes. The efficiency of the motor can be expressed as a percentage and is given by the following formula:
Efficiency = (Output Power / Input Power) x 100
To calculate the efficiency, you'll need to measure or know the following parameters:
Output Power: This is the mechanical power delivered by the motor's shaft and is typically measured using a dynamometer or calculated based on the torque and speed of the motor. The formula for mechanical power is:
Output Power (in watts) = Torque (in newton-meters) x Angular Speed (in radians per second)
Input Power: This is the electrical power consumed by the motor and can be measured using a power meter connected to the motor's electrical supply. The formula for electrical power is:
Input Power (in watts) = Voltage (in volts) x Current (in amperes) x Power Factor
The power factor represents the phase difference between the voltage and current in the motor and ranges from 0 to 1. It indicates how effectively the motor converts electrical power into mechanical power.
Once you have measured or calculated both the output power and input power, you can plug these values into the efficiency formula to determine the efficiency of the induction motor. A higher efficiency indicates that the motor is converting more of the input electrical power into useful mechanical power, making it a more energy-efficient motor.