How the Winding Type Should Be Taken into Account in the Model of an Asynchronous Machine

Abstract

Asynchronous electric drive with vector control is described by a system of nonlinear differential equations. The analysis of vector control uses a model of an ideal asynchronous machine (with a sinusoidal distribution of magnetic induction in the air gap), where the coefficients of mutual magnetic communication between the windings are calculated by means of the cos(θ) function. Simulation in MATLAB has shown that the processes significantly depend on the type of windings. The type of windings is taken into account in coefficients of the magnetic coupling between the windings k_MA(θ). If the function of cos(θ) is replaced with the product of cos(θ)KAa(θ) = k_MA(θ) in the equations of the model of an ideal asynchronous machine, then the type of windings of the asynchronous machine will be considered by a correction function KAa(θ). The coefficients of the magnetic coupling between the windings (the ratio of the magnetic flux connections of the windings) were calculated by a modified method of conducting the gear contours. Dimensionless correction functions allowed specifying the vector transformation of Clarke and Park.