Induction Motor

Abstract

We obtain the mathematical three-phase model of induction motors, derive the standard dq transformation and obtain the standard dq dynamical model. We explain the rationale behind standard indirect field-oriented control. We solve the velocity and position regulation problems. A pendulum is included as the load in the position control problem. We find that our proposal is the closest control scheme to standard indirect field-oriented control but provided with a formal stability proof. We present a global asymptotic stability proof for standard indirect field-oriented control of current-fed induction motors. Sketches of the stability proofs are included in this chapter, but the complete stability proofs are presented in Appendices A and D. Finally, we analyze and obtain the dynamical model of a practical induction motor and compare this model with that obtained at the beginning of the chapter.