Mathematical Model of an Induction Machine in Polar Coordinates Taking into Account the Saturation Process of the Main Magnetic Circuit

Abstract

Mathematical models of induction machine in polar coordinates taking into account the saturation process of the main magnetic circuit are presented. Software implementations of the proposed mathematical models and numerical investigations of the processes reproduced with their help are performed in the computing environment MATLAB (Simulink application package). Features of program implementation of such models are determined. It is revealed that they accurately describe the processes taking place in the induction machine at the operation segment of its mechanical performance. It is shown that the mathematical models in polar coordinates reproduce the processes taking place in the induction machine with a accuracy that is the same for models written in Cartesian coordinates.