ABSTRACT
This chapter describes the dynamic and steady-state models of the induction machine (IM), which consists of the differential equations describing the electromagnetic relationships of the stator and of the rotor as well as the equation of motion. It explores the equations of the IM in the stator flux-linkage reference frame and is the basis for the “stator-flux-oriented vector control". The chapter explains the equations of the IM in the magnetic flux-linkage reference frame and is the basis for the “magnetizing-flux-oriented” vector control. It shows the mathematical dynamic model of the IM which takes into account the magnetic saturation of the iron paths in the rotor flux-linkage reference frame. The steady-state stator and rotor equations of the IM and the corresponding space-vector equivalent circuit, describing the steady-state operation of the machine under symmetrical three-phase sinusoidal supply at constant pulsation ω1, can be deduced from the previously illustrated space-vector dynamic model.
