**Author details**

42 Induction Motors – Modelling and Control

**Figure 32.** Hodograph of resultant rotor flux

0

+2


calculations can be performed.

not the electric current.

can be simulated as well.

The mathematical model presented in this contribution is characterized by the total lack of the winding currents and angular speed in the voltage equations. Since these parameters are differential quantities of other electric parameters, they usually bring supplementary calculus errors mainly for the dynamic duty analysis. Their removal assures a high accuracy of the results. If their variation is however necessary to be known then simple subsequent


S S2

[Wb]

A [Wb]

S1

The use of the mathematical model in total fluxes is appropriate for the study of the electric machines with permanent magnets where the definitive parameter is the magnetic flux and

The coefficients defined by (28.1-4), which depend on resistances and inductances, take into consideration the saturation. Consequently, the study of the induction machine covers more

The most important advantage of the proposed mathematical model is its generality degree. Any operation duty, such as steady-state or transients, balanced or unbalanced, can be analyzed. In particular, the double feeding duty and the synchronized induction machine operation (feeding with D.C. current of a rotor phase while the other two are short-circuited)

The results obtained by simulation are based on the transformation of the equations in structural diagrams under Matlab-Simulink environment. They present the variation of electrical quantities (voltages and currents corresponding to stator and rotor windings), of mechanical quantities (expressed through rotational pulsatance) and of magnetic

than the linear behavior of the magnetization phenomenon.

**7. Conclusion** 

Alecsandru Simion, Leonard Livadaru and Adrian Munteanu *"Gh. Asachi" Technical University of Iaşi, Electrical Engineering Faculty, Romania* 
