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Global method for a class of operation optimization problem in steel rolling systems
journal contribution
posted on 2019-05-08, 11:19 authored by Lianjie Tang, Lixin Tang, Jiyin LiuJiyin Liu, Cong ChengMany steel products are produced in hot or cold rolling lines with multiple stands. The steel material becomes thinner after being rolled at each stand. Steady-state parameters for controlling the rolling line need to be set so as to satisfy the final product specifications and minimize the total energy consumption. This paper develops a generalized geometric programming model for this setting problem and proposes a global method for solving it. The model can be expressed with a linear objective function and a set of constraints including nonconvex ones. Through constructing lower bounds of some components, the constraints can be converted to convex ones approximately. A sequential approximation method is proposed in a gradually reduced interval to improve accuracy and efficiency. However, the resulting convex programming model in each iteration is still complicated. To reduce the power, it is transformed into a second-order cone programming (SOCP) model and solved using alternating direction method of multipliers (ADMM). The effectiveness of the global method is tested using real data from a hot-rolling line with seven stands. The results demonstrate that the proposed global method solves the problem effectively and reduces the energy consumption.
Funding
Fund for the Major International Joint Research Project of the National Natural Science Foundation of China (71520107004), the Major Program of National Natural Science Foundation of China (71790614), Innovative Research Groups of the National Natural Science Foundation of China (71621061), and the 111 Project (B16009).
History
School
- Business and Economics
Department
- Business
Published in
Industrial and Engineering Chemistry ResearchVolume
58Issue
14Pages
5552 - 5566Citation
TANG, L. ... et al, 2019. Global method for a class of operation optimization problem in steel rolling systems. Industrial and Engineering Chemistry Research, 58 (14), pp.5552-5566.Publisher
© American Chemical SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This document is the Accepted Manuscript version of a Published Work that appeared in final form in Industrial and Engineering Chemistry Research, copyright © American Chemical Society after peer review and technical editing by the publisher. To access the final edited and published work see https://pubs.acs.org/doi/10.1021/acs.iecr.8b05022.Acceptance date
2019-03-04Publication date
2019-03-04Copyright date
2019ISSN
0888-5885eISSN
1520-5045Publisher version
Language
- en