Abstract
In annealing, steel coils should be heated and consequently cooled according to the technological prescription defined for the annealed type of steel. It is appropriate to develop the systems and methods for estimation of the steel coil inner temperature for that reason. The proposal for such a system of indirect measurement of inner temperature is described in this study. This system, in the form of the mathematical model, is developed based on the theory of heat transfer and needs thermophysical parameters as inputs. In many cases, the thermophysical properties are difficult to access or unknown for the specific composition of the material being processed. In this paper, two optimization methods were applied to estimate two thermophysical properties. The application of the iterative dynamic programming method is aimed to estimate optimal thermal diffusivity. The verification of this method was performed on 11 laboratory measurements. The algorithm of the gradient method was used for estimating thermal conductivity and was verified on seven operational measurements. Results show that the optimized values of thermophysical properties increased the accuracy of the steel coil inner temperature estimation in the locations nearer to the steal coil central axis.
Highlights
In the production of steel sheets, the steel is cold rolled into sheets and coiled into coils, which are supplied to customers
The paper dealt with the application of optimization methods to estimate thermophysical parameters such as thermal diffusivity and thermal conductivity, to improve the accuracy of temperatures’ indirect measurement in the annealing process
The proposed solution differs from these methods as it applied two optimization methods (i.e., iterative dynamic programming (IDP) method and gradient method) for multi-dimensional optimization
Summary
In the production of steel sheets, the steel is cold rolled into sheets and coiled into coils, which are supplied to customers. The subsequent annealing process is a method of heat treatment of alloys. This process aims to change the mechanical properties of the material by changing its microscopic structure at a high temperature (i.e., according to the technological prescription) because the cold rolling process makes the steel hard, brittle, and difficult for further processing. The coils are heated to the desired temperature, maintained at this temperature until the coldest place of the coil reaches this temperature, and the coils are cooled in the annealing process. This entire process is called the annealing regime. Heating is often used in connection with the steel and cast iron, but it is possible to use it for other alloys as well
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