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COMPARISON OF METHODS FOR SOLVING INVERSE PROBLEMS TO ESTIMATE THE WEAR LINE IN A BLAST FURNACE HEARTH

Magnago, Luiz Claudio Silva; Catabriga, Lucia;

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A key part to the iron-making blast furnace is the hearth. How well it functions significantly affects the performance of the whole furnace and, ultimately, the hot metal quality. The hostile conditions of the hearth lead to the erosion of the refractory lining; the extent of the erosion is known as the wear line. The wear line is usually the main factor limiting the length of a furnace’s campaign. To measure the wear line while the furnace is in regular operation is of course impossible, yet such information would be useful in operation planning. Estimating the wear line in a blast furnace hearth is as close as we can get to obtaining this information, and this paper presents a model for doing just that. The procedure is based on the solution of a nonlinear inverse heat transfer problem. The observations are temperature measurements at points inside the blast furnace hearth and the unknown is the location of the 1150oC isotherm. This work considers: (i) the finite elements to solve the direct problem, (ii) the fixed-point iteration method to solve the non-linearity of the direct problem due the thermal conductivity depending on the temperature, (iii) three methods to solve the inverse problem. We estimate, using all three methods, the wear line of a hearth with characteristics similar to those of Blast Furnace 3 at steelmaker Arcelor Mittal Tubarão1. The methods, the performance and accuracy of which this paper compares, are the Levenberg-Marquardt, the iteratively regularized Gauss-Newton, and the conjugate gradient. We validate the solution using simulated measurements with different noise levels.

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Palavras-chave: Blast Furnace, Wear, Inverse Problem, Heat Transfer,

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DOI: 10.5151/meceng-wccm2012-19359

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Como citar:

Magnago, Luiz Claudio Silva; Catabriga, Lucia; "COMPARISON OF METHODS FOR SOLVING INVERSE PROBLEMS TO ESTIMATE THE WEAR LINE IN A BLAST FURNACE HEARTH", p. 3364-3379 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19359

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