Permanent Magnet Synchronous Motor

Abstract

The mathematical three-phase model of these motors is obtained. Then the standard dq or Park’s transformation is derived and applied to obtain the standard motor dq dynamical model. These results are employed to solve the velocity and position regulation problem. A pendulum is included as a load in the position control problem. We find several advantages of our approach over previous passivity-based approaches in the literature when applied to class of motors. In particular, our proposals are the closest in the literature to standard field-oriented control but provided with a formal stability proof. We also present the solution to the velocity ripple minimization problem. Sketches of the stability proofs are included in this chapter, but the complete stability proofs are presented in Appendices A and C. Finally, we analyze and obtain the dynamical model of two practical permanent magnet synchronous motors and compare this model with that obtained at the beginning of the chapter.