2. Surface-Mounted Permanent-Magnet Synchronous Motor

  1. Jean Claude Alacoque

Published Online: 8 OCT 2012

DOI: 10.1002/9781118460641.ch2

Direct Eigen Control for Induction Machines and Synchronous Motors

Direct Eigen Control for Induction Machines and Synchronous Motors

How to Cite

Alacoque, J. C. (2012) Surface-Mounted Permanent-Magnet Synchronous Motor, in Direct Eigen Control for Induction Machines and Synchronous Motors, A John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118460641.ch2

Author Information

  1. Alstom Transport, France

Publication History

  1. Published Online: 8 OCT 2012
  2. Published Print: 10 DEC 2012

ISBN Information

Print ISBN: 9781119942702

Online ISBN: 9781118460641



  • brushless synchronous motor;
  • dead-beat control law;
  • position sensorless;
  • discrete-time state-space equations;
  • transition matrix eigenvalues and eigenvectors;
  • torque control accuracy;
  • torque control dynamics;
  • stator flux and torque independence;
  • pulse width modulation switching frequency;
  • sampling period


The chapter 2 describes the same new dead-beat control law for three-phase surface-mounted permanent-magnet synchronous motors (brushless), based on the motor discrete-time state-space equation system, using the eigenvalues of the transition matrix. The algebraic calculation of the control voltage vector, takes account of motor parameters, of motor current measures, of torque and current set-points, and of torque, voltage, stator flux and current limits. A real-time implementation of algorithms without position sensor, is proposed with a Kalman’s observer. The total uncoupling between torque and stator voltage controls is shown, as well as the torque accuracy and dynamics. The PWM and sampling periods can be chosen regardless of control law, in order to optimize inverter switching frequency and motor current shape factor.