Abstract
In hot rolling process, rolled plate is cooled by spraying water so that plate temperature distribution is uniformed and reaches to the desired one. Through this process, quality of finished plate can be improved to high level. However, in water cooling process, measuring points of plate temperature are limited because of existence of the water mist. Further, a plate is suffered from complex phenomena such as heat transfer variation in high temperature between plate surface and cooling water. Therefore, there exist a lot of difficulties in controlling plate temperature distribution by a simple feedback control method. The objective of our research is to construct mathematical descriptions for a water cooling control. In this paper, LQ control system for plate temperature control in water cooling process is proposed based on the mathematical model of plate temperature, which adjusts cooling rate given to plate. The model was derived using finite element modeling method of heat transfer in lateral direction. Cooling speed of plate temperature during water cooling can be regulated adjusting weighting matrices in LQ control scheme. The practicability of the proposed method was checked through numerical experiments.
| Original language | English |
|---|---|
| Pages (from-to) | 3169-3181 |
| Number of pages | 13 |
| Journal | International Journal of Innovative Computing, Information and Control |
| Volume | 4 |
| Issue number | 12 |
| Publication status | Published - Dec 2008 |
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Keywords
- Finite difference method
- Finite element method
- Heat transfer model
- LQ control
- Plate rolling
- State equation
- Water cooling
ASJC Scopus subject areas
- Computational Theory and Mathematics
- Information Systems
- Software
- Theoretical Computer Science
Cite this
Optimal water cooling control for plate rolling. / Notsu, Tadafumi; Konishi, Masami; Imai, Jun.
In: International Journal of Innovative Computing, Information and Control, Vol. 4, No. 12, 12.2008, p. 3169-3181.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimal water cooling control for plate rolling
AU - Notsu, Tadafumi
AU - Konishi, Masami
AU - Imai, Jun
PY - 2008/12
Y1 - 2008/12
N2 - In hot rolling process, rolled plate is cooled by spraying water so that plate temperature distribution is uniformed and reaches to the desired one. Through this process, quality of finished plate can be improved to high level. However, in water cooling process, measuring points of plate temperature are limited because of existence of the water mist. Further, a plate is suffered from complex phenomena such as heat transfer variation in high temperature between plate surface and cooling water. Therefore, there exist a lot of difficulties in controlling plate temperature distribution by a simple feedback control method. The objective of our research is to construct mathematical descriptions for a water cooling control. In this paper, LQ control system for plate temperature control in water cooling process is proposed based on the mathematical model of plate temperature, which adjusts cooling rate given to plate. The model was derived using finite element modeling method of heat transfer in lateral direction. Cooling speed of plate temperature during water cooling can be regulated adjusting weighting matrices in LQ control scheme. The practicability of the proposed method was checked through numerical experiments.
AB - In hot rolling process, rolled plate is cooled by spraying water so that plate temperature distribution is uniformed and reaches to the desired one. Through this process, quality of finished plate can be improved to high level. However, in water cooling process, measuring points of plate temperature are limited because of existence of the water mist. Further, a plate is suffered from complex phenomena such as heat transfer variation in high temperature between plate surface and cooling water. Therefore, there exist a lot of difficulties in controlling plate temperature distribution by a simple feedback control method. The objective of our research is to construct mathematical descriptions for a water cooling control. In this paper, LQ control system for plate temperature control in water cooling process is proposed based on the mathematical model of plate temperature, which adjusts cooling rate given to plate. The model was derived using finite element modeling method of heat transfer in lateral direction. Cooling speed of plate temperature during water cooling can be regulated adjusting weighting matrices in LQ control scheme. The practicability of the proposed method was checked through numerical experiments.
KW - Finite difference method
KW - Finite element method
KW - Heat transfer model
KW - LQ control
KW - Plate rolling
KW - State equation
KW - Water cooling
UR - http://www.scopus.com/inward/record.url?scp=63549149123&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=63549149123&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:63549149123
VL - 4
SP - 3169
EP - 3181
JO - International Journal of Innovative Computing, Information and Control
JF - International Journal of Innovative Computing, Information and Control
SN - 1349-4198
IS - 12
ER -