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Анотація
Production of carbon electrodes characterized by considerable resource and energy consumption, so important is the task of improving the efficiency of production through the introduction of optimal modes of its component processes. Developed and studied a simplified mathematical model of carbon electrodes graphitization, which differs from the known models almost zero time to calculate it. Constructed simplified mathematical model allows increasing effectiveness research process temperature control graphitization carbon electrodes by reducing the time a study to determine the temperature at any point in the process. Research conducted simplified models accuracy by comparing the temperature values calculated by these models, with temperatures calculated for the original complex model, which in this case is regarded as experimental data. As a result, a simplified mathematical model can be used for the synthesis of process control systems, as well as in the control system real time.
Ключові слова:
Graphitization, carbon electrodes, mathematical model, energy.
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Як цитувати
Жученко, О., & Бевзюк, Л. (2017). СПРОЩЕНА МАТЕМАТИЧНА МОДЕЛЬ ПРОЦЕСУ ГРАФІТУВАННЯ ВУГЛЕЦЕВИХ ЕЛЕКТРОДІВ. Automation of Technological and Business Processes, 8(3). https://doi.org/10.15673/atbp.v8i3.572
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ПИТАННЯ ТЕОРІЇ, МЕТОДИ ТА АЛГОРИТМИ ЕФЕКТИВНОГО АВТОМАТИЧНОГО УПРАВЛІННЯ ОБ’ЄКТАМИ ХІМІКО-ТЕХНОЛОГІЧНОГО ТИПУ
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References
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[18] Zhuchenko O.A. Metod sproshchennya matematychnykh modeley ob"yektiv keruvannya iz rozpodilenymy parametramy /
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[19] Gilat, Amos (2004). MATLAB: An Introduction with Applications 2nd Edition. John Wiley & Sons. ISBN 978-0-471-
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[20] P.I. Bidyuk, O.S. Menyaylenko, O.V. Polovtsev. Metody prohnozuvannya. - Luhans'k: Al'ma-mater, 2008, 308 str.
[21] Box George E. R., Jenkins Gwilym M. Time series analysis, forecasting and control. Holden-day, Inc., 1976.
[22] Eykkhoff P. Osnovi identyfykatsyy system upravlenyya: otsenyva nye parametrov i sostoyanyya / Eykkhoff P. – M. :
Myr, 1975. – 683 s.
[1] Aris, Rutherford (1994). Mathematical Modelling Techniques, New York: Dover. ISBN 0-486-68131-9
[2] Bender, E.A. (2000). An Introduction to Mathematical Modeling, New York: Dover. ISBN 0-486-41180-X
[3] Shevyakov A. A. Upravlenye teplovymy obektamy s raspredelennymy parametramy / A. A. Shevyakov, R. V. Yakovleva.
– Moskva: Enerhoatomyzdat, 1986. – 208 s.
[4] Proyzvodstvo elektrodnoy produktsyy / [A. K. Sannykov, A. B. Somov, V. V. Klyuchnykov y dr.]. — M. : Metallurhyya,
1985. — 129 s.
[5] Chalykh E. F. Tekhnolohyya y oborudovanye elektrodnykh i elektrouhol'nykh predpryyatyy / E. F. Chalykh. — M. :
Metallurhyya, 1972. — 432 s.
[6] Kuznetsov D. M. Protsess hrafytatsyy uhlerodnykh materyalov. Sovremennye metodi yssledovanyya : monohrafyya / D.
M. Kuznetsov, V. P. Fokyn. — Novocherkassk : YuRHTU, 2001. — 132 s.
[7] Physical processes modern investigation methods in power-intensive industrial equipments / E. N. Panov, A. Ya.
Karvatsky, I. L. Shilovich [et al.] // Aluminium of Siberia – 2008 : XIV Intern. conf. exhib., (Krasnoyarsk, Sept. 10—12,
2008) : proceedings of the conf. — Krasnoyarsk : «Verso», 2008. — P. 124—132.
[8] Devyatov B. N. Teoryya y metodi analyza upravlyaemikh raspredelennikh protsessov / B. N. Devyatov, N. D. Demydenko.
– Novosybyrsk: Nauka, 1983. – 271 s.
[9] Butkovskyy A. H. Teoryya optymal'noho upravlenyya systemi s raspredelenniыmy parametramy / A. H. Butkovskyy. –
Moskva: Nauka, 1965. – 474 s.
[10] Vasyl'eva A. B. Asymptotycheskye metodi v teoryy synhulyarnikh vozmushchenyy / A. B. Vasyl'eva, V. F. Butuzov. –
Moskva: Vыsshaya shkola, 1990. – 208 s.
[11] Makovskyy V. A. Dynamyka metallurhycheskykh obektov s raspredelennimy parametramy / V. A. Makovskyy. –
Moskva: Metallurhyya, 1971. – 384 s.
[12] Rey U. Metodi upravlenyya tekhnolohycheskymy protsessamy / U. Rey. – Moskva: Myr, 1983. – 368 s.
[13] Chermak Y. Dynamyka rehulyruemikh system v teploenerhetyke y khymyy / Y. Chermak, V. Paperka, Y. Zavorka. –
Moskva: Myr, 1972. – 623 s.
[14] Shevyakov A. A. Ynzhenernie metodi rascheta dynamyky teploobmennikh apparatov / A. A. Shevyakov, R. V.
Yakovleva. – Moskva: Mashynostroenye, 1968. – 314 s.
[15] Rapoport Э. Ya. Strukturnoe modelyrovanye obektov y system upravlenyya s raspredelennimy parametramy / Э. Ya.
Rapoport. – Moskva: Visshaya shkola, 2003. – 239 s.
[16] Leleka, S. V. Teploelektrycheskoe sostoyanye pechey hrafytyrovanyya Achesona [Tekst]: monohrafyya / S. V. Leleka, E.
N. Panov, A. Ya. Karvatskyy y dr. – K.: NTUU «KPY», 2014. – 238 s
[17] Panov, E. N. Enerhosberezhenye pry proyzvodstve elektrodnoy produktsyy [Tekst]: 3-y mezhdunar. konhr./ E. N. Panov,
S. V. Kutuzov, A. Ya. Karvatskyy y dr. // Tsvetnie metalli. – Krasnoyarsk, 2011.
[18] Zhuchenko O.A. Metod sproshchennya matematychnykh modeley ob"yektiv keruvannya iz rozpodilenymy parametramy /
O. A. Zhuchenko, V. S. Tsapar // Mizhnarodnyy naukovo-vyrobnychyy zhurnal «Avtomatyzatsiya tekhnolohichnykh i
biznes-protsesiv» Vol. 7, issue 1/2015. S. 15-25.
[19] Gilat, Amos (2004). MATLAB: An Introduction with Applications 2nd Edition. John Wiley & Sons. ISBN 978-0-471-
69420-5.
[20] P.I. Bidyuk, O.S. Menyaylenko, O.V. Polovtsev. Metody prohnozuvannya. - Luhans'k: Al'ma-mater, 2008, 308 str.
[21] Box George E. R., Jenkins Gwilym M. Time series analysis, forecasting and control. Holden-day, Inc., 1976.
[22] Eykkhoff P. Osnovi identyfykatsyy system upravlenyya: otsenyva nye parametrov i sostoyanyya / Eykkhoff P. – M. :
Myr, 1975. – 683 s.