Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel Casting
The paper presents the comparison of optimization-regulation algorithms applied to the secondary cooling zone in continuous steel casting where the semi-product withdraws most of its thermal energy. In steel production, requirements towards obtaining defect-free semi-products are increasing day-by-d...
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doaj-66f384643eb04f0e9b8853daf847be6d2021-02-02T00:00:54ZengMDPI AGMetals2075-47012021-02-011123723710.3390/met11020237Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel CastingMichal Brezina0Tomas Mauder1Lubomir Klimes2Josef Stetina3Faculty of Mechanical Engineering, Brno University of Technology, Technická 2896/2, 616 69 Brno, Czech RepublicFaculty of Mechanical Engineering, Brno University of Technology, Technická 2896/2, 616 69 Brno, Czech RepublicFaculty of Mechanical Engineering, Brno University of Technology, Technická 2896/2, 616 69 Brno, Czech RepublicFaculty of Mechanical Engineering, Brno University of Technology, Technická 2896/2, 616 69 Brno, Czech RepublicThe paper presents the comparison of optimization-regulation algorithms applied to the secondary cooling zone in continuous steel casting where the semi-product withdraws most of its thermal energy. In steel production, requirements towards obtaining defect-free semi-products are increasing day-by-day and the products, which would satisfy requirements of the consumers a few decades ago, are now far below the minimum required quality. To fulfill the quality demands towards minimum occurrence of defects in secondary cooling as possible, some regulation in the casting process is needed. The main concept of this paper is to analyze and compare the most known metaheuristic optimization approaches applied to the continuous steel casting process. Heat transfer and solidification phenomena are solved by using a fast 2.5D slice numerical model. The objective function is set to minimize the surface temperature differences in secondary cooling zones between calculated and targeted surface temperatures by suitable water flow rates through cooling nozzles. Obtained optimization results are discussed and the most suitable algorithm for this type of optimization problem is identified. Temperature deviations and cooling water flow rates in the secondary cooling zone, together with convergence rate and operation times needed to reach the stop criterium for each optimization approach, are analyzed and compared to target casting conditions based on a required temperature distribution of the strand. The paper also contains a brief description of applied heuristic algorithms. Some of the algorithms exhibited faster convergence rate than others, but the optimal solution was reached in every optimization run by only one algorithm.https://www.mdpi.com/2075-4701/11/2/237continuous castingsecondary coolingnumerical modelingthermal-solidification modelheuristic optimization |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Michal Brezina Tomas Mauder Lubomir Klimes Josef Stetina |
spellingShingle |
Michal Brezina Tomas Mauder Lubomir Klimes Josef Stetina Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel Casting Metals continuous casting secondary cooling numerical modeling thermal-solidification model heuristic optimization |
author_facet |
Michal Brezina Tomas Mauder Lubomir Klimes Josef Stetina |
author_sort |
Michal Brezina |
title |
Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel Casting |
title_short |
Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel Casting |
title_full |
Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel Casting |
title_fullStr |
Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel Casting |
title_full_unstemmed |
Comparison of Optimization-Regulation Algorithms for Secondary Cooling in Continuous Steel Casting |
title_sort |
comparison of optimization-regulation algorithms for secondary cooling in continuous steel casting |
publisher |
MDPI AG |
series |
Metals |
issn |
2075-4701 |
publishDate |
2021-02-01 |
description |
The paper presents the comparison of optimization-regulation algorithms applied to the secondary cooling zone in continuous steel casting where the semi-product withdraws most of its thermal energy. In steel production, requirements towards obtaining defect-free semi-products are increasing day-by-day and the products, which would satisfy requirements of the consumers a few decades ago, are now far below the minimum required quality. To fulfill the quality demands towards minimum occurrence of defects in secondary cooling as possible, some regulation in the casting process is needed. The main concept of this paper is to analyze and compare the most known metaheuristic optimization approaches applied to the continuous steel casting process. Heat transfer and solidification phenomena are solved by using a fast 2.5D slice numerical model. The objective function is set to minimize the surface temperature differences in secondary cooling zones between calculated and targeted surface temperatures by suitable water flow rates through cooling nozzles. Obtained optimization results are discussed and the most suitable algorithm for this type of optimization problem is identified. Temperature deviations and cooling water flow rates in the secondary cooling zone, together with convergence rate and operation times needed to reach the stop criterium for each optimization approach, are analyzed and compared to target casting conditions based on a required temperature distribution of the strand. The paper also contains a brief description of applied heuristic algorithms. Some of the algorithms exhibited faster convergence rate than others, but the optimal solution was reached in every optimization run by only one algorithm. |
topic |
continuous casting secondary cooling numerical modeling thermal-solidification model heuristic optimization |
url |
https://www.mdpi.com/2075-4701/11/2/237 |
work_keys_str_mv |
AT michalbrezina comparisonofoptimizationregulationalgorithmsforsecondarycoolingincontinuoussteelcasting AT tomasmauder comparisonofoptimizationregulationalgorithmsforsecondarycoolingincontinuoussteelcasting AT lubomirklimes comparisonofoptimizationregulationalgorithmsforsecondarycoolingincontinuoussteelcasting AT josefstetina comparisonofoptimizationregulationalgorithmsforsecondarycoolingincontinuoussteelcasting |
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