**9. References**


[3] T.-F. Chan, P. Borsje, and W. Wang, "Application of Unscented Kalman filter to sensorless permanent-magnet synchronous motor drive," presented at the Electric Machines and Drives Conference, IEMDC, 2009, pp. 631–638.

216 MATLAB – A Fundamental Tool for Scientific Computing and Engineering Applications – Volume 1

Stable performance of the sensorless drive with PMSM at low speed was noticed in the closed loop mode. Small position error and robust on inaccuracy motor parameter estimation were proven. The resistance tolerance is about 20 %, whereas inductance error tolerance is below 9 %. A wider range of resistance change could be achieved by using resistance observation. A test for robustness on the disturbance in the measured signal was passed: even a disruption of the phase currents by injection of the random signal does not disturb the performance of the sensorless drive. Such drive can achieve high dynamics according to the definition presented in abstract. Robustness to the incorrect estimate of initial position was also tested. The used PI controller discrete implementation gives possibility to use the same speed controller settings in both operating mode – sensor and sensorless. The sensorless drive using modified Luenberger observer gives possibility of the high performance of the high dynamic drive, where the "high dynamic" definition is introduced in this chapter. An additional effect of this work is to present the outline of how to create and how to operate the complex models of electrical motor drives in the context of the selection of model components of varying complexity which affect the calculation time

*Institute of Control and Information Engineering, Poznan University of Technology, Poznan, Poland* 

[1] J. Liu, S. Hao, R. Ma, and M. Hao, "Research on Integer State Observer in Current

[2] L. A. Jones and J. H. Lang, "A state observer for the permanent-magnet synchronous motor," *IEEE Transactions on Industrial Electronics*, vol. 36, no. 3, pp. 374–382, Aug. 1989.

**8. Conclusions** 

**Notice** 

Motor parameters:

**Author details** 

Konrad Urbanski

**9. References** 

**Acknowledgement** 

and quality and accuracy of the results.

 stator inductance: L = 5.7 mH stator resistance per phase: R = 0.7

total moment of inertia: J = 0.007273 kg·m2

This work was supported by grant N N510 325937.Appendix

Control for PMSM," 2008, pp. 228–231.

	- [18] B. Burton, F. Kamran, R. G. Harley, T. G. Habetler, M. A. Brooke, and R. Poddar, "Identification and control of induction motor stator currents using fast on-line random training of a neural network," *IEEE Transactions on Industry Applications*, vol. 33, no. 3, pp. 697–704, Jun. 1997.

**Chapter 10** 
