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Vol: 56(70) No: 2 / June 2011 Numerical Simulation of the Temperature in a Rotary Hearth Furnace, using Taylor Series Vlad Mureşan Department of Automation, Technical University of Cluj-Napoca, Faculty of Automation and Computer Science, 26-28 G. Baritiu Street, 400027, Cluj-Napoca, Romania, phone: +40-264-401220, e-mail: Vlad.Muresan@aut.utcluj.ro Keywords: rotary hearth furnace, numerical simulation, mathematical modelling, Taylor series, equations with partial derivatives (PDE), disturbance Abstract – In this paper the temperature control system in a rotary hearth furnace is approached. The main goal of the paper is the numerical simulation of the temperature evolution from the furnace, using Taylor series. In order to clarify the application hypothesis, the paper contains a complex description of the whole equipment. An important part is dedicated to the mathematical modelling of both the thermal processes and the automatic control systems of the temperature from the furnace. The modelling problem is a complex one because in the case of the furnace, the thermal processes are processes with distributed parameters. In this case the equations with partial derivatives are introduced. A very important term that is used is the matrix of partial derivatives of the state vector (M ). In the simulation part, the author presents different application cases of the numerical simulation method. The performances of the numerical simulation method and of the automatic control systems are followed. The very good results of the numerical simulation show that the method which was used is a very precise one. Also the control system is tested both in the presence and in the absence of the disturbances. In the conclusion chapter the main advantages of this method are presented. References [1] V. Mureşan and M. Abrudean, “The control of the step for the furnace with rotary hearth in the technologic flow for manufacturing pipes without welding”, in Proc. 2008 IEEE International Conference on Automation, Quality and Testing, Robotics, Cluj-Napoca, Romania, 2008, vol. II, pp. 258-266. [2] I. Penţa, D. Szeredai, and F. Major, “The technology of preparing the loading of the CVR and perforating the blocks in the Mannesmann perforato”, Mannesmann, Bucharest, 1987. [3] M. Abrudean, Systems Theory and Automatic Regulation, Mediamira Publishing House, Cluj-Napoca, 1998 (in Romanian). [4] T. Coloşi, M. Abrudean, E. Dulf, and M.-L. Ungureşan, Numerical Modelling and Simulation Method for Lumped and Distributed Parameters Processes with Taylor Series and Local Iterative Linearization, Mediamira Publishing House, Cluj-Napoca 2008. [5] T. Coloşi, M.-L. Ungureşan, E. Dulf, and R. C. Cordoş, Introduction to Analogical Modeling and Numerical Simulation with (M ) and Taylor Series Distributed Parameters Processes, Galaxia Gutenberg Publishing House, Cluj-Napoca, 2009. [6] V. Mureşan, PhD Thesis, in process of sustaining, 2010. [7] V. Mureşan, “Mathematical modelling and numerical simulation of the temperature control system in a furnace with rotary hearth”, in Proc. IEEE International Joint Conferences on Computational Cybernetics and Technical Informatics (ICCC-CONTI 2010), Timisoara, Romania, 2010, 203-208. |