APPLICATION OF THE MONTE CARLO METHOD IN CHARGE CALCULATIONS AND REGULATION OF THE CHEMICAL COMPOSITION OF PIG IRON IN THE PROCESS OF ITS SMELTING
Procesi littâ, 2023, Vol 4 (154), 44-57
DOI:
https://doi.org/10.15407/plit2023.04.044Keywords:
foundry, steel, cast-iron, charge, chemical composition, calculations, adjustments, algorithm, programmeAbstract
The use of modern methods of mathematical modelling of foundry technology and current computer capabilities makes it possible to bring the methodology for determining the charge and adjusting the chemical composition of the melt directly in the process of metal melting to a qualitatively new scientific and technical level. The article analyses various approaches to calculating the charge for smelting iron and steel and methods for adjusting the percentage of chemical elements in the melt of these and other alloys directly during their smelting. The advantages and disadvantages of the most commonly used methods of charge calculation are considered. The article evaluates the methods of optimising the composition of the charge for smelting cast iron in induction furnaces, intended for the manufacture of critical foundry products. Examples of solving the problem of calculation and optimisation of the charge are given, provided that the total cost of the charge components is used as an economic criterion for the efficiency of the calculated charge composition and this criterion is minimised. In solving this problem, the simplex linear programming method is most often used. It is shown that one of the main problems in solving the problem under consideration is the uncertain chemical composition of charge materials. This applies primarily to scrap metal and ferroalloys. The known methods and computer programs developed for modelling the procedure of charge selection and controlling the chemical composition of iron or steel melt mostly do not take into account the instability of the chemical composition of charge materials. A promising direction for the development of the methodology for determining the charge and adjusting the melt is the use of approaches that take into account the probabilistic nature of the problem under consideration and the instability of the charge components in the probabilistic aspect. The application of the Monte Carlo method in charge calculations and melt composition adjustment is substantiated in order to take into account probabilistic estimates of the initial data on the ranges of the scatter of chemical elements in the materials from which the charge and melt adjustment ingredients are formed. An algorithm and a computer program for implementing such an ideology in solving the task are presented.
References
Kurdyumov, D.Ya., Tan, E.B., Calculation of optimal charge composition on the computer. M.: Metallurgy. 1984. 73 р. [in Russian].
Ponomarenko, O.I. Optimisation of technological solutions in the conditions of foundry shops reconstruction / Cand. Sci. D. Sci. Kharkiv, Kharkiv, KHPU. 1998. 508 р. [in Russian].
Pelykh, S.G. Quality management of iron-carbon alloy castings on the basis of cybernetic models / Dissertation for the degree of Doctor of Technical Sciences / Lugansk. Volodymyr Dahl East Ukrainian National University. 2004. 375 р. [in Russian].
Yamshynskyi, M. М. Heat resistant and wear resistant iron based casting alloys for work under extreme conditions: The thesis for the degree of Doctor of Technical Sciences. Kyiv, 2019. Physico-technological Institute of Metals and Alloys of National Academy of Sciences of Ukraine. 510 р. [in Ukrainian].
Vozdvizhensky, V.M., Grachev V.A., Spassky V.V. Casting alloys and the technology of their melting in mechanical engineering. Moskva: Mashinostroenie. 1984. 432 p. [in Russian].
Semesenko, M.P., Pelykh, S.G. Computer in foundry processes control. Donetsk, «Donbass». 1975. 96 р. [in Russian].
Pelykh, S.G., Semesenko, M.P. Optimisation of foundry processes. Kiev: «Vishcha Shkola». 1977. 192 р. [in Russian].
Yamshynskyi, M.M., Gryadovskyi, I.O. Software for calculating the charge for steels / V International Conference «New Materials and Technologies in Mechanical Engineering». Kyiv. 28–29 May, 2013. Р. 144–146 [in Russian].
Arkhangelskiy, A.V., Pisarenko, L.Z., Averkin, S.I. Computer programme for calculation of charge composition. Foundry production. 2000. No. 12. Р. 26–27 [in Russian].
Selivorstov, V.Y. Software tool for calculating the charge with regard to the economic efficiency indicator. Scientific works. Computer technologies. Issue 161. Vol. 173. P. 154–157 [in Ukrainian].
Druyan, I.A. Calculation of charge by the method of sequential correction. Foundry production. 1971. No. 2. P. 42–43 [in Russian].
Shitikov, V.S. Computer application for calculation of the optimum charge composition / V.S. Shitikov, L.K. Chebotar, Yu.V. Mastinovsky, V.L. Larichkin. Foundry Production. 1980. No. 9. P. 11–12 [in Russian].
Andrianov, N.V. Determination of the optimum composition of the charge metal for different grades of steels smelted in DSP-100 No. 3 of RUE «Belarusian Metallurgical Plant» / N.V. Andrianov, A.G. Afanasiadi, I.L. Numeranova, A.V. Demin, N.L. Mandel, D.K. Gribok, O.N. Tyshchenko. Casting and Metallurgy. 2004 (3). P.107–109 [in Russian].
Rafalski, I. V., Dovnar, G.V., Lushchik, P.E. Solving of the problem of the burden composition optimization by means of linear programming. Litiyo i Metallurgiya (Foundry Production and Metallurgy). 2006. No. 2. Vol. P. 154–157 [in Russian].
Leonovich, B.I. Software package for modelling the smelting process of corrosive steel grades / B.I. Leonovich, V.V. Natalchenko, B.V. Oshchepkov, E.A. Trofimov. Bulletin of SUSU. 2010. No. 13. P. 19–23 [in Russian].
Pelykh, S.G. Calculation of optimal charge composition. Foundry production. 1983. No. 6. P. 5–7 [in Russian].
Karpov, P.M. Approximate calculation of metal charges by graphoanalytical method. Foundry production. 1962. No. 10. P. 39 [in Russian].
Gorbunov, A.I. Calculation of charge for melting of metals / A.I. Gorbunov, V.P. Saburov, A.A. Rodin et al. // Omsk: OPI. 1975. 77 p. [in Russian].
Ponomarenko, O.I., Pelikh, V.F., Nikiforov, A.V. Methods of charge calculation for foundry alloys smelting. System approach. K.: ISIO of Ukraine. 1993. 74 p. [in Russian].
Rybak, V.M., Chornozem, D.S. Calculation of the charge using the MS EXCEL solution search package. Proceedings of the IX International Scientific and Practical Conference «Special Metallurgy: Yesterday, Today, Tomorrow». Kyiv, NTUU «KPI». 2011. P. 308–321 [in Ukrainian].
Kirichenko, V.M. Calculation of optimal composition of charge materials by methods of linear programming.http://masters.donntu.ru/2007/kita/kirichenko/library/b7.html [in Russian].
Sokolov, D.D., Prikhodko, O.V. Algorithm and programme for calculating and correcting the components of the charge when producing high-strength cast iron for foundries. Bulletin of the Donbass State Machine-Building Academy. 2017. No. 2 (41). P. 145–149 [in Russian].
Rubinstein, E.G., Zaitsev, M.V. Optimisation of charge composition and properties of highstrength cast iron. Foundry. 1989. No. 10. P. 14–15 [in Russian].
Malykhin, I.A., Vdovin, K.N., Milyukov, S.V. Computer calculation of the optimum charge composition. Foundry production. 1980. No. 10. P. 15–16 [in Russian].
Sirenko, K. A., Mazur, V. L. Assessment of stability of chemical composition and mechanical properties of industrial lots of synthetic iron. Casting Processes. 2021. No. 4 (146). P. 66–75 https://doi.org/10.15407/plit2021.04.066 [in Ukrainian].
Mazur, V.L. Tasks of foundries in the restoration of the infrastructure of Ukraine / V.L. Mazur, E.S. Popov, S.I. Klimenko, K.A. Sirenko. Metal and Met. lit’e Ukr. 2023. Vol. 31. № 1 (332). P. 64–69 [in Ukrainian].
Sirenko, K. A., Mazur, V. L. Ideology of adjustment of the chemical composition of synthetic cast iron in the manufacturing process of casting. Met. lit’e Ukr. 2021. Vol. 29. No. 4 (327). P. 44–54. https://doi.org/10.15407/plit2021.04.066 [in Ukrainian].
Sirenko, K. A. Improvement of technology of adjustment of chemical composition of iron during melting in crucible induction furnaces. Casting Processes, 2022. No. 1 (147). P. 3–10. https://doi.org/10.15407/plit2022.01.003 [in Ukrainian].
Sirenko, K. A. Development of the method of determining the composition of the charge for smelting cast iron in induction crucible furnaces. Met. lit’e Ukr. 2022. Vol. 30. No. 2 (329). P. 20–29. https://doi.org/10.15407/scin15.04.005 [in Ukrainian].
Ponomarenko, O.I. Simulation and probabilistic models of moulding systems of foundry. Information technologies: science, technique, technology, education, health: Collection of scientific works of KHPU. Vol. 6. Part. 2. Kharkov: Kharkiv State Polytechnic Institute. 1988. P. 516–519 [in Russian].
(url) http://www.embarcadero.com/products/cbuilder/
(url) https://www.python.org/
(url) https://www.rfc-editor.org/rfc/rfc4180
Sirenko, K.A., Mazur, V.L. Advantages and disadvantages of methods for calculating the charge for smelting synthetic iron in the foundry. Casting Processes, 2023. No. 3 (153). P. 49–60. https://doi.org/10.15407/plit2023.03.049 [in Ukrainian].
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