A mathematical model of an asynchronous motor in a generalized orthogonal system of coordinates

摘要

A mathematical model of a three-phase asynchronous motor supplied from either a three-phase or a single-phase network is developed. The model takes into account saturation of the magnetic core and iron looses. The differential equations are written in a generalized system of coordinates with an arbitrary rotation speed of its axes. The first version of the model includes seven differential equations, and the second version includes five differential equations. The losses in the steel are represented as the electrical losses in a special resistor. The effects due to saturation of the magnetic core of the motor are taken into account using coefficients inversely proportional to the static and dynamic inductances. The computer program that realizes the first version of the model in the Matlab environment is described. The results of calculating the startup conditions of a 4AA56A4U3 motor are presented.