Induction motors often are the preferred choice among industrial motors due to the modern power electronics that improve their speed control. Vitally important for the speed control of a motor is the accurate estimation of the magnetic flux and the electromagnetic torque. Knowing the electromagnetic torque of a motor, one is able to control it and thus monitor the speed faster and more stably.

An electromagnetic torque estimator was designed using a three-phase induction motor, without the use of any sensor. The mathematical model of the induction motor was achieved, as well as deriving the electromagnetic torque equation by means of the proper transformations and mathematical tools. The analysis of the designed estimator is done through Simulink/MATLAB, where the transient and steady-state torque of the motor was determined. Furthermore, the experimental test of the estimator, using a real motor, power electronics, and a field-programmable gate array (FPGA), proved its efficiency.The quality and reliability of any design are proven by how well it works in a real application. The transition from an ideal case, such as computer simulation, to a real application includes factors that may have undesirable effects. The experiment of an electromagnetic torque estimator using a real induction motor is a real application that involves undesirable external noise, constant offsets at the waveforms, as well as variation in the temperature of the windings and thus in the stator resistance. Nevertheless, the analysis of the results shows that the torque estimator works very well for an induction motor at the frequency of 60 Hz. The calculated steady-state torque is very close to the electrodynamometer settings. In conclusion, at the speed of 60 Hz, the variation of the stator resistance is not dominant and does not affect the torque calculation. Finally, the numerical integration works successfully.

The designed torque estimator can be used in any application that requires the calculation of the torque of an induction motor that works at a high frequency. In fact, the calculation of the electromagnetic torque is an important step before the speed control of the motor.

*This work was done by Athanasios Tsoutsas of the Naval Postgraduate School. For more information, download the Technical Support Package (free white paper) at www.defensetechbriefs.com/tsp under the Mechanics/Machinery category. NRL-0038*

### This Brief includes a Technical Support Package (TSP).

** Designing a Sensorless Torque Estimator for Direct Torque Control of an Induction Motor** (reference NRL-0038) is currently available
for download from the TSP library.

Please Login at the top of the page to download.