Abstract

The problem of frequency control of the dynamic state of an induction motor (IM) is considered on the basis of predicting its state. The significance of L. Euler's method of the first order in the numerical solution of ordi-nary differential equations as a predictor - a tool for the formation of predicted values of control actions in de-termining the analytical designs of electric drive control systems based on IM, built using algorithms of the classical theory of the calculus of variations - is noted. It is proposed to use a digital dynamic model of IM, which is implemented on the basis of numerical methods for solving ordinary differential equations as a model that predicts the behavior of real IM. It has been established that the possible found solutions of the optimal problem of frequency control of the IM state in the form of analytical connections of control actions (frequency, voltage) with the parameters of the state estimation of the model - the IM predictor (electromagnetic torque, ro-tor speed, stator (rotor) flux linkage, etc.) can be used as predictors for real control.

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