Publication detail

TWO MATHEMATICAL APPROACHES FOR OPTIMAL CONTROL OF THE CONTINUOUS SLAB CASTING PROCESS

MAUDER, T. NOVOTNÝ, J.

Original Title

TWO MATHEMATICAL APPROACHES FOR OPTIMAL CONTROL OF THE CONTINUOUS SLAB CASTING PROCESS

Type

conference paper

Language

English

Original Abstract

This paper deals with two suitable mathematical approaches to optimization of a continuous casting process control. The first approach is based on a nonlinear mathematical programming model, while the second one represents a black-box type solution. The aim of optimization and control of the steel slabs production is to achieve both the maximum possible savings and product quality. The continuous casting process is described by a two-dimensional mathematical model, containing a Fourier-Kirchhoff equation together with boundary conditions. From a material perspective, presence of phase and structural changes is modeled by an enthalpy approach, where the relationship between enthalpy and temperature is fitted by a suitable curve. The sought-for control parameters represent the output of the optimization models. Software implementation for mathematical programming approach was executed as a link between MATLAB and modeling language GAMS. For the black-box solution, a callable C library was created which simulates the casting process, and which is called by the black-box solver NOMAD. Final results from both approaches are compared and discussed.

Keywords

Nonlinear optimization, mathematical programming, black-box, temperature field

Authors

MAUDER, T.; NOVOTNÝ, J.

RIV year

2010

Released

23. 6. 2010

Publisher

Brno University of Technology

Location

Brno

ISBN

978-80-214-4120-0

Book

Mendel 2010 - 16th International Conference on Soft Computing

Pages from

395

Pages to

400

Pages count

6

BibTex

@inproceedings{BUT29369,
  author="Tomáš {Mauder} and Jan {Novotný}",
  title="TWO MATHEMATICAL APPROACHES FOR OPTIMAL CONTROL OF THE CONTINUOUS SLAB CASTING PROCESS",
  booktitle="Mendel 2010 - 16th International Conference on Soft Computing",
  year="2010",
  pages="395--400",
  publisher="Brno University of Technology",
  address="Brno",
  isbn="978-80-214-4120-0"
}