Stochastic Approach and Optimal Control of Continuous Steel Casting Process by Using Progressive Hedging Algorithm

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F11%3APU92485" target="_blank" >RIV/00216305:26210/11:PU92485 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Stochastic Approach and Optimal Control of Continuous Steel Casting Process by Using Progressive Hedging Algorithm

Popis výsledku v původním jazyce

The purpose of the article is to introduce a method for solving stochastic optimization problem in optimal control of the continuous steel casting process. This technique is used to control a production of steel slabs in order to reach maximum productivity with a given quality of casted products. Moreover, all real engineering processes are also influenced by various random effects that cannot be precisely predicted to occur. In our case, the main attention is aimed at the scenario-based model in which a sudden breakdown of water nozzles in the secondary cooling zone can occur with given probability. For this purpose, stochastic optimization approaches are favourably used with the progressive hedging algorithm suggested by American mathematicians in 1980s. This algorithm allows to solve scenario-based stochastic optimization problems by decomposition technique and each scenario describing a particular situation in the production is solved separately, whereas to solve the entire model may exceed computational capability. Another great benefit of the progressive hedging algorithm is the possibility of parallelization which leads to the significant speed up of computations. In this paper, the original parallel implementation of the progressive hedging algorithm using GAMS optimization software is introduced and tested for the continuous steel casting model based on the Fourier-Kirchhoff equation discretized by using the finite difference method and on the enthalpy approach due to the phase and structural changes during the cooling process. The model is modified to the two-stage structure and it comprises the situation in which the total breakdown occurs in the secondary cooling zone. The results of that stochastic model solved by using the progressive hedging algorithm are presented, discussed and compared with deterministic model results. Finally, the future development and research is adumbrated.

Název v anglickém jazyce

Stochastic Approach and Optimal Control of Continuous Steel Casting Process by Using Progressive Hedging Algorithm

Popis výsledku anglicky

The purpose of the article is to introduce a method for solving stochastic optimization problem in optimal control of the continuous steel casting process. This technique is used to control a production of steel slabs in order to reach maximum productivity with a given quality of casted products. Moreover, all real engineering processes are also influenced by various random effects that cannot be precisely predicted to occur. In our case, the main attention is aimed at the scenario-based model in which a sudden breakdown of water nozzles in the secondary cooling zone can occur with given probability. For this purpose, stochastic optimization approaches are favourably used with the progressive hedging algorithm suggested by American mathematicians in 1980s. This algorithm allows to solve scenario-based stochastic optimization problems by decomposition technique and each scenario describing a particular situation in the production is solved separately, whereas to solve the entire model may exceed computational capability. Another great benefit of the progressive hedging algorithm is the possibility of parallelization which leads to the significant speed up of computations. In this paper, the original parallel implementation of the progressive hedging algorithm using GAMS optimization software is introduced and tested for the continuous steel casting model based on the Fourier-Kirchhoff equation discretized by using the finite difference method and on the enthalpy approach due to the phase and structural changes during the cooling process. The model is modified to the two-stage structure and it comprises the situation in which the total breakdown occurs in the secondary cooling zone. The results of that stochastic model solved by using the progressive hedging algorithm are presented, discussed and compared with deterministic model results. Finally, the future development and research is adumbrated.

Druh

D - Stať ve sborníku

CEP obor

JG - Hutnictví, kovové materiály

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Sborník příspěvků 20. mezinárodní konference METAL 2011

ISBN

978-80-87294-22-2

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

146-151

Název nakladatele

Tanger, s.r.o.

Místo vydání

Ostrava

Místo konání akce

Brno

Datum konání akce

18. 5. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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