Abstract
Mathematical modeling is conducted to determine optimal solutions for systems controlling processes with distributed parameters in an example of the operation of tube furnaces at oil refineries. A mathematical model is proposed for nonstationary combustion with one-dimensional movement of flows. The efficiency function is formulated as the minimum deviation of the temperature of the flow from the assigned value. Numerical modeling is performed for one meter of actual volume of tube furnace. Linear approximation is selected as a mathematical approach.
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N. D. Demidenko, V. I. Potapov, and Yu. I. Shokin, Modeling and Optimization of Systems with Distributed Parameters [in Russian], Nauka, Novosibirsk (2006).
N. D. Demidenko and L. V. Kulagina, Modeling and Optimization of Technical Systems with Distributed Parameters [in Russian], IPTs Krasnoyarskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Krasnoyarsk (2006).
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Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, No. 6, pp. 15–16, June, 2007.
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Kulagina, L.V. Mathematical modeling of control systems for production processes with distributed parameters. Chem Petrol Eng 43, 319–322 (2007). https://doi.org/10.1007/s10556-007-0057-1
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DOI: https://doi.org/10.1007/s10556-007-0057-1