1. Advanced Modeling of Electro Motor load By Kabenla Armah Supervisor: Jerome Jouffroy Co-supervisor: Søren Top

2. Content  Introduction  Modeling method  Results  Conclusion

3. Introduction  Main objective  Current Approach To develop advanced models of electro motor capable of emulating an arbitrary electro motor and under load conditions. To develop advanced models of electro motor capable of emulating an arbitrary electro motor and under load conditions. Using actual motors attached to a load for testing

4. Introduction Electric load Electric motor models Emulator

5. Introduction  Three-phase induction motor:  Operation Most popular AC motor for applications in industrial environment Its operation is based on Faraday’s law of Induction, lenz law and lorentz force

6. Introduction Three- phase induction motor [ 8] Wikipedia,http://en.wikipedia.org/wiki/Squirrel-cage rotor

7. Introduction  A recap of existing literature tells us [1]-[9]  8 equations needed  Reduced number of equations using(DQO transformation matrix)  Balanced system  Problem  Unbalanced systems

8. Modeling Method

9.  Approach  Development of these equations using variation in energy  Assumptions made: neglect hysterisis and core-loss, uniform airgap length Input power Output power losses loadload Electromagnetic power

11. Modeling Method Stator side equation:

12. Modeling Method

13. 0

14.  Torque equation Number of poles

15. Modeling Method  Speed Equation Load torque Coefficient of friction Mechanical speed Load torque

16. Results

17. Results  Simulation scenario  Direct-online start(directly connected to supply)  Squirrel-cage induction motor( Vr=0)  A load attached to the motor

18. Results  Case 1  Balanced system

19. Results  Three-phase Stator currents

20. Results  Torque Graph

21. Results  Speed Graph

22. Results  Case 2  Voltage imbalance (single phase)

23. Results  Torque

24. Results  Three-phase Current graph

25. Results  Case 2  Inter-turn short-circuit (Stator Phase A )

26. Results  Torque Graph

27. Results  Three-phase current graph

28. Conclusion  This model  Demonstrate the behaviour of the induction motor under balanced conditions  More flexibility in varying parameters to demonstrate system imbalance

29. Thank you

30. References  [1] Dal Y. Ohm, ”Dynamic Model of Induction Motors For Vector Control”, Drivetech, Inc., Blacksburg, Virginia.  [2] P.C.Sen,”Principles of Electric Machines and Power Electronics, 2nd Edition”: Wiley, 1996.  [3] Erickson, Robert W., Maksimovic, Dragan,”Fundamentals of Power Electronics,2nd Edition”: Springer 2001.  [4] A. M. Trzynadlowski, The Field Orientation Principle in Control of Induction Motors :Kluwer Academic Publishers, 1994.  [5] Benot Robyns, Bruno Francois, Philippe Degobert and Jean Paul Hautier,”Vector Control of Induction Machines, Desensitisation and  Optimisation Through Fuzzy Logic”:Springer, 2012.  [6] R. J. Lee, P. Pillay and R. G. Harley,” D,Q Reference Frames for the Simulation of Induction Motors”, Electric Power Systems Research,  8 pp. 15 -26, 1984/85.  [7] Chee-Mun Ong,”Dynamic Simulation of Electric Machinery, Using Matlab/Simulink”:Prentice Hall, 1997.  [8] Wikipedia,”http://en.wikipedia.org/wiki/Squirrel-cage rotor”  [9] Nidec Corporation,”http://www.nidec.com/en-NA/technology/motor/basic/00026/”  [10] TMEIC, ”https://www.tmeic.com/Southeast%20Asia/732- Energy%20Savings%20Wound%20Rotor%20Induction%20Motor%20Savings-  374”  [11] Hsin-Jang Shieh and Kuo-Kai Shyu, ”Nonlinear Sliding-Mode Torque Control with Adaptive Backstepping Approach for Induction  Motor Drive”,IEEE Transactions on Industrial electronics: VOL.46, NO.2, APRIL 1999.

31. Electric_energy= winding_losses + electromagnetic_energy Modeling Method Subscript: s-stator, r-rotor

32. Modeling Method  Rotor three-phase Equation: