2019
DOI: 10.23939/mmc2019.01.069
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Optimal control of the electrical mode of an arc furnace on the basis of the three-dimensional vector of phase currents

Abstract: In the paper, based on the Fokker-Planck-Kolmogorov equation and the statistical control theory, a mathematical model for the operative synthesis of optimal controlling influences for stabilization of the electric mode of an electric arc furnace in a two-contour structure with a high-speed electric circuit for regulating the arc currents is suggested.

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Cited by 8 publications
(5 citation statements)
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“…The change in dynamic resistance R d obtained on the basis of experimental voltampere characteristics and its approximation using (16) for I arc = 10 mm at a 11 = 9.4, a 21 = 0.38, a 31 = 18, a 41 = 2 and σ = 51, 000 are given in Figure 4b. To take into account the asymmetry of the Volt-Ampere characteristic of the arc, it is necessary to separately determine the coefficients a 11 , a 21 , a 31 , a 41 and σ at I arc < 0 and I arc ≥ 0.…”
Section: Mathematical Model Of Arc Space Of Electrical Arc Furnacementioning
confidence: 99%
See 1 more Smart Citation
“…The change in dynamic resistance R d obtained on the basis of experimental voltampere characteristics and its approximation using (16) for I arc = 10 mm at a 11 = 9.4, a 21 = 0.38, a 31 = 18, a 41 = 2 and σ = 51, 000 are given in Figure 4b. To take into account the asymmetry of the Volt-Ampere characteristic of the arc, it is necessary to separately determine the coefficients a 11 , a 21 , a 31 , a 41 and σ at I arc < 0 and I arc ≥ 0.…”
Section: Mathematical Model Of Arc Space Of Electrical Arc Furnacementioning
confidence: 99%
“…Depending on the class of tasks, researchers often use simplified models of individual subsystems. In particular, in the synthesis of EAF electrodes movement control systems, the model of the power supply system is ignored as a whole, using only Volt-Ampere characteristics at different arc lengths [14][15][16]. On the other hand, when studying the influence of EAF on the electrical network, the processes in the EAF electrode movement are not taken into account, using Volt-Ampere characteristics of arcs at given values of arc length or given laws of its change [1][2][3]8,[17][18][19].…”
Section: Introductionmentioning
confidence: 99%
“…All of these parameters are interrelated in a complex way, and therefore there are many interpretations to understand "optimal" control strategies [3]. An important aspect of all optimal strategies is power consumption and losses [4][5][6]. Analysing the energy consumption of EAFs, factors related to the technological mode, in particular the power transferred to the arc gap, is traditionally considered.…”
Section: Introductionmentioning
confidence: 99%
“…The use of the control structure type MIMO (multiple inputs, multiple outputs) can improve the quality of control [14]. The synthesis of control effects in such a control system requires the use of a system model that allows one to take into account the mutual influences between the phases.…”
Section: Introductionmentioning
confidence: 99%