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A Novel Variable Scale Grid Model for Temperature Self‐Adaptive Control: An Application on Plate Cooling Process after Rolling
Author(s) -
Zhang Tian,
Xie Qian,
Wang Bingxing,
Wu Zhiqiang,
Wang Zhaodong,
Wang Guodong
Publication year - 2016
Publication title -
steel research international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 49
eISSN - 1869-344X
pISSN - 1611-3683
DOI - 10.1002/srin.201500344
Subject(s) - process (computing) , dimensionless quantity , dimension (graph theory) , scale factor (cosmology) , variable (mathematics) , centroid , finite element method , grid , scale (ratio) , euclidean distance , mathematical optimization , computer science , euclidean space , control theory (sociology) , mathematics , engineering , control (management) , mathematical analysis , structural engineering , mechanics , geometry , artificial intelligence , physics , cosmology , quantum mechanics , metric expansion of space , dark energy , pure mathematics , operating system
Plate cooling is a complex process so that it cannot be described by a fixed model. So, the mathematical model requires self‐adaptive ability to comply with the various parameters such as gauges and temperatures of plates. Considering the effect of influence factors on cooling process, an online variable scale grid (VSG) model for cooling is developed. VSG model builds a multi‐dimension space system where each dimension is determined by the effect of each factor on heat transfer. Every plate can find a corresponding point in the space, according to its own process conditions. To guarantee the higher precision of temperature control, it adopts dimensionless treatment for all the factors to avoid the errors caused by different physical units. In order to reduce the computational cost, the technologies of finite element meshing and centroid calculation have been applied. When a new plate comes, the correlations between the new one and historical samples, centroids are described by Euclidean distance. Finally, the target value is estimated through the distance‐weighted average method. The results of experiments and applications with real industrial data show that the proposed VSG is effective in the plate cooling control and has a wide application prospect.