Mathematical Modelling and Predictive Control of Permanent Magnet Synchronous Motor Drives

Authors

  • Květoslav Belda Institute of Information Theory and Automation of the ASCR, Praha

Abstract

The paper deals with a mathematical modelling
of the three-phase Permanent Magnet Synchronous Motors
(PMSM) and their model-based control. These motors are
used in drives of robots and machine tools. The construction
of their mathematical model is discussed here with respect
to a model-based control design. The model is composed
via mathematical-physical analysis. The analysis is outlined
in the main theoretical points. As a promising model-based
approach, the predictive control is explained. It represents
just a promising alternative to the standard solution based
on the vector cascade control.

Author Biography

Květoslav Belda, Institute of Information Theory and Automation of the ASCR, Praha

Dept. of Adaptive Systems, 

References

A. Ordys, D. Clarke. “A state - space description for GPC controllers”. Int. J. Systems SCI., Vol. 24, No. 9, 1993, pp. 1727-1744.

K. Belda, J. Böhm, P. Píša, “Concepts of Model-Based Control and Trajectory Planning for Parallel Robots”. Proc. of 13th IASTED Int. Conf. on Robotics and Applications. Germany. 2007, pp. 15-20.

L. Prokop, P. Grasblum, “3-Phase PMSM Vectror Control: Design of Motor Control Application”, Frrescale Semiconductor, 2005.

K. Belda, D. Vošmik, “Speed Control of PMSM Drives by Generalized Pred. Algorithms”. IECON Proc., 2012, pp. 2002-2007.

E. Santana, E. Bim, W. Amamral, “A Predictive Alg. for Controlling Speed and Rotor Flux of Induction Motor”. IEEE Trans. on industrial electronics, Vol. 55, No. 12, 2008, pp. 4398-4407.

S. Bolognani, L. Peretti, M. Zigliotto, “Design and Implementation of MPC for EMD”. IEEE Trans. on IE, 56/6, 2009, pp. 1925-1936.

Ch. Lawson, R. Hanson, “Solving Least Square Problems”, Prentice-Hall, Inc., New York, 1974.

M. Valášek, P. Steinbauer, “Nonlinear Control of Multibody Systems”, Euromech, Lisabon, 1999, pp. 437-444.

SINAMICS S110 / S120, “Synchronous motors 1FK7, Generation 2”, Configuration Manual 10/2011, 6SN1197-0AD16-0BP4.

K. Belda, D. Vošmik, “Explicit Generalized Predictive Algorithms for Speed Control of PMSM Drives”. IECON, Austria, 2013, 6 pp.

L. Wang, Model Predictive Control System Design and Implementation Using MATLAB®, Springer, 2009.

M. Kvasnica, J. Löfberg, M. Herceg, L. Cirka, and M. Fikar, "Low complexity polynomial approximation of explicit MPC via linear programming," AC Control Conference 2010, pp. 4713-4718.

Downloads

Published

2020-03-30

Issue

Section

Articles