Implementation of Model Predictive Control in an Industrial Continuous Annealing Furnace

Author(s):  
Lukas Bitschnau ◽  
Martin Kozek ◽  
Stefan Jakubek ◽  
Florian Leeber
Author(s):  
L. Bitschnau ◽  
S. Jakubek ◽  
M. Kozek

For the design of constrained model predictive control of a continuous annealing furnace both the modeling of an industrial furnace and the structure of an appropriate constrained predictive control scheme are presented. The model of the furnace comprises a partitioning of the furnace into suitable heating zones, a description of the spatially discretized moving steel strip, and a dynamic formulation of the heaters. The final process model is of linear state space form and utilizes the energy flow to the heaters as inputs, the ambient temperatures as disturbances, and the temperatures of the strip elements and the heaters as states. The model can be easily adapted to varying operation conditions since all important design parameters of the furnace and the strip can be modified on-line. Utilizing measurement data from an industrial furnace for the model validation shows excellent agreement. The constrained predictive control scheme explicitly considers the disturbance, allows for the inclusion of reference values for the inputs, and simultaneously guarantees constraints on the maximum temperature of the heaters. This structure is shown in simulations to reliably obey multiple and contradictory technological restrictions of the process without the need for lengthy parameter optimizations.


2011 ◽  
Vol 383-390 ◽  
pp. 379-384
Author(s):  
Yi Ding Xing ◽  
Zhi Wen ◽  
Rui Feng Dou ◽  
Xiao Hong Feng ◽  
Zhi Li ◽  
...  

The phenomenon of buckling is attributed to the non-uniform stress imposed on strip. This paper investigates the occurrence of this non-uniform by calculating the stress distribution in circumferential and axial direction. The results indicate that stress distribution is even in circumferential direction, and the non-uniform happens in the axial direction. Furthermore, this non-uniform is quiet related to the proportion of strip width and the roll flat part length. Meanwhile, the roll flat part length should as long as it could be in the context of insuring the enough centripetal force to prevent the snaking.


2012 ◽  
Vol 19 (12) ◽  
pp. 8-13 ◽  
Author(s):  
Yan Zhang ◽  
Quan Yang ◽  
An-rui He ◽  
Xi-jiang Yao ◽  
De-fu Guo

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