Optimal control of multiphase steel production

Journal of Mathematics in Industry

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[1] 0000 0001 0066 936X, grid.433806.a, Weierstrass Institute, Berlin, Germany;0000 0001 1516 2393, grid.5947.f, Department of Mathematical Sciences, NTNU, Trondheim, Norway;0000 0001 0198 6180, grid.410722.2, HTW Berlin, Berlin, Germany;grid.435199.3, IAV GmbH, Berlin, Germany;

关键词: Hot rolling;    Dual phase steels;    Optimal control;   

DOI  :  10.1186/s13362-019-0063-x

来源: publisher

【 摘 要 】

An optimal control problem for the production of multiphase steel is investigated that takes into account phase transformations in the steel slab. The state equations are a semilinear heat equation coupled with an ordinary differential equation, that describes the evolution of the steel microstructure. The time-dependent heat transfer coefficient serves as a control function. Necessary and sufficient optimality conditions for the control problem are derived. For the numerical solution of the control problem, a reduced sequential quadratic programming method with a primal-dual active set strategy is developed. The numerical results are presented for the optimal control of a cooling line in the production of hot-rolled Mo–Mn dual phase steel.

【 授权许可】

CC BY