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Vol: 56(70) No: 4 / December 2011 Temperature Simulation of the Billets from a Furnace with Rotary Hearth, Using Taylor Series V. Muresan Department of Automation, Technical University of Cluj-Napoca, 26-28 Bariţiu Street, 400027 Cluj-Napoca, Romania , phone: +40-264-401220, e-mail: Vlad.Muresan@aut.utcluj.ro M. Abrudean Department of Automation, Technical University of Cluj-Napoca , 26-28 Bariţiu Street, 400027 Cluj-Napoca, Romania, e-mail: Mihai.Abrudean@aut.utcluj.ro T. Coloşi Department of Automation, Technical University of Cluj-Napoca , 26-28 Bariţiu Street, 400027 Cluj-Napoca, Romania, e-mail: Tiberiu.Colosi@aut.utcluj.ro Keywords: furnace with rotary hearth, billet, equations with partial derivatives, Taylor series, numerical simulation Abstract The paper presents an application of using the method of analogical modelling through the matrix of partial derivatives of the state vector (Mpdx) associated with Taylor series. The application is based on the study of the thermal processes from a metallurgical furnace with rotary hearth. In the present paper the technical processes are viewed like distributed parameters processes and their work is modelled through equations with partial derivatives. A large section from the paper is dedicated to the presentation of the simulation results. The simulations were made in order to show the behaviour of the thermal processes in the most relevant cases and to show the performances of the numerical simulation method. References [1] I. Penţa, D. Szeredai, F. Major, “The technology of preparing the loading of the CVR and perforating the blocks in the Mannesmann perforator”, Bucharest, 1987, 157 pages. [2] Mureşan V., M. Abrudean, “Temperature Control in the Furnace with Rotary Hearth“, Proceedings of 2010 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR 2010) – TOME I, THETA 17th edition, May 28-30, 2010, Cluj-Napoca, România, pp. 225-230. [3] Coloşi T., M.-L. Ungureşan, E. Dulf, R. C. Cordoş, “Introduction to Analogue Modeling and Numerical Simulation with (Mpdx) and Taylor Series Distributed Parameters Processes”, GALAXIA GUTENBERG Publishing house, Cluj-Napoca, 2009 , 361 pages. [4] Abrudean, M., “Systems theory and automatic regulation“, MEDIAMIRA Publishing house, Cluj-Napoca, 1998, 170 pages. [5] User Guide, Matlab 7.5.0 (R2007b). [6] Mureşan V., Abrudean M., Coloşi T., Numerical Simulation of the Billet’s Temperature in a Furnace with Rotary Hearth, Proceedings of 6th IEEE International Symposium on Applied Computational Intelligence and Informatics (SACI 2011), Timisoara, Romania, 2011, 6 pp. [7] Different technical papers of Tenaris Silcotub Zalău. |