Optimal water cooling control for plate rolling

Tadafumi Notsu, Masami Konishi, Jun Imai

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 languageEnglish
Pages (from-to)3169-3181
Number of pages13
JournalInternational Journal of Innovative Computing, Information and Control
Volume4
Issue number12
Publication statusPublished - Dec 2008

Fingerprint

Cooling water
Cooling
Water
Temperature distribution
Heat transfer
Temperature
Hot rolling
Fog
Spraying
Surface waters
Temperature control
Temperature Distribution
Feedback control
Heat Transfer
Mathematical models
Control systems
Hot Rolling
Temperature Control
Finite Element Modeling
Modeling Method

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 journalArticle

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