Optimum power consumption operation for the induction heating process control

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Abstract

The paper describes the method for solving the problem of optimal power consumption for the programmed control of the  induction heating process of semi-finished metal products before pressure treatment under the conditions of a given accuracy of uniform approximation of the resulting spatial distribution of the heated product temperature field to the desired state before subsequent plastic deformation operations. The proposed algorithm uses a special procedure for preliminary parameterization of control actions in the boundary value problem of the Pontryagin maximum principle and further reduction to the semi-infinite optimization problem, which is solved using the alternance method.

About the authors

A. M. Vorontsova

Samara State Technical University

Author for correspondence.
Email: chernoivanova.nastena@mail.ru
Russian Federation

E. Ya. Rapoport

Samara State Technical University

Email: edgar.rapoport@mail.ru
Russian Federation

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