Mathematical modeling of the ceramic tile burning process

L. I. Chumak, V. O. Uzelovsky, V. O. Chernenko


The results of investigations of the mathematical model of the process of firing ceramic tiles in a slot furnace are given, taking into account the dynamics of the thermal process for determining the parameters of the equipment and the rational temperature control law. The implementation of the model in the MATLAB Simulink environment made it possible to optimize the system. Purpose. Develop and conduct a study of the mathematical model, taking into account the dynamics of the thermal process for determining the parameters of equipment and the rational law of temperature control, which will improve the quality of ceramic tiles and reduce energy intensity. Methodology. As an object for the study, a slot furnace for baking ceramic tiles was adopted. The influence of controlling and disturbing factors on the temperature in the furnace was investigated. On the basis of the obtained data, the equation of the object dynamics and the transfer function of the slit furnace with the control action are determined. To perform optimization of the firing process control system, a block diagram of the process model implemented in the Simulink environment of the MATLAB 6.5 software package was developed. Findings. As a result of the mathematical modeling of the ceramic tile firing process in the slot furnace, the equations of the object dynamics, the transfer function of the furnace with the control action are determined, the dynamic parameters of the system are calculated and then modeled using the Simulink simulation package of the MATLAB 6.5. Optimization of the system was carried out. Originality. An imitation model of a roasting kiln was created, taking into account external factors and rational rational parameters of the elements of the system, equipment and rational temperature control law were determined. Practical value. The block diagram of the mathematical model of the ceramic tile firing process and its simulation model developed and implemented with the help of MATLAB 6.5 software allows to determine the rational and desired time of the transient process at the design and debug stage, optimize the system, improve the quality of the firing process, and reduce the coolant flow.


mathematical model; firing; ceramic tile; optimization


Martynenko I.I. and Lysenko V.F. Proektirovanie sistem avtomatiki [Design of automation systems].ed. 2. Moskva: Agropromizdat, 1990, 243 p. (in Russian).

Ralko A.V., Krupa A.A. and Plemyannikov N. N. Teplovye processy v texnologii silikatov [Thermal processes in silicate technology]. Kiev: Vyshha shk., 1986, 232 p. (in Russian).

Kubancev V.I., Tarasov A.K., Kalinin A.N., Matveev G.V. and Sokolov A.S. A. s. 857074 SSSR, MKI3 S 04 V 33/32. Sposob avtomaticheskogo regulirovaniya processa obzhiga keramicheskix izdelij v shhelevoj pechi [Сertificate of authorship 857074 USSR, MKI3 S 04 V 33/32. A method for automatically regulating the process of firing ceramic products in a slot furnace]. No. 2836737/29-33, tastement 06.11.1979, published on 23.08.1981, no. 31, 3 p. (in Russian).

Kochetova V.S. Avtomatizaciya proizvodstvennyx processov i ASUP promyshlennosti stroitel'nyx materialov [Automation of production processes and automated control systems of the building materials industry].ed. 2. Leningrad: Strojizdat, 1981, 456 p. (in Russian).

Bejko I.V., Bublik B.N. and Zin'ko P.N. Metody i algoritmy resheniya zadach optimizacii [Methods and algorithms for optimization problems solving]. Kiev: Vysshaya shkola, 1983, 512 p. (in Russian).

D'yakonov V. Simulink 4: Special'nyj spravochnik [Simulink 4: Special reference book]. Sankt-Peterburg: Piter, 2002, 528 p. (in Russian).

D'yakonov V. Mathcad 2000: uchebnyj kurs [Mathcad 2000: training course]. Sankt-Peterburg: Piter, 2000, 592 p. (in Russian).

Popovich M.G. and Kovalchuk O.V. Teorіia avtomatychnoho keruvannia [The theory of automatic control].ed. 2. Kyiv: Lybid, 2007, 656 p. (in Ukrainian).

GOST Style Citations