Influence of cross-saturation for modeling and simulation of the dynamic processes in the induction motor

In this paper there are obtained mathematical models of the saturated induction machines. It is shown that various sets of state variables have a common theoretical background that simplifies the deduction of the saturated models. The possible combinations of the state variables are grouped in two classes for which are established direct calculus algorithms. 1) The winding currents - flax linkages as state variables. 2) The magnetizing current i(m) - currents (flux linkages) of the windings as state variables. Specific computations are performed and there are written the state equations of the electromagnetic processes for several combinations of the state variables. The major aim of the numerical approach is to compare the computational programs. The simulation results points out that in the presence of saturation the simplified models do not reveal in a correct way the complete evolution of the dynamic electromechanical processes. The dynamic variation of the saturation (L-dq#0) essentially justifies the forced electromechanical oscillations.