https://oldena.lpnu.ua/handle/ntb/46158| Title: | Optimal control of the electrical mode of an arc furnace on the basis of the three-dimensional vector of phase currents |
| Other Titles: | Оптимальне керування електричним режимом дугової печі на основі тривимірного вектора струмів дуг |
| Authors: | Лозинський, О. Лозинський, А. Паранчук, Я. Білецький, Ю. Lozynskyi, O. Lozynskyi, A. Paranchuk, Y. Biletskyi, Y. |
| Affiliation: | Національний університет “Львівська політехніка” Lviv Polytechnic National University |
| Bibliographic description (Ukraine): | Optimal control of the electrical mode of an arc furnace on the basis of the three-dimensional vector of phase currents / O. Lozynskyi, A. Lozynskyi, Y. Paranchuk, Y. Biletskyi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 69–76. |
| Bibliographic description (International): | Optimal control of the electrical mode of an arc furnace on the basis of the three-dimensional vector of phase currents / O. Lozynskyi, A. Lozynskyi, Y. Paranchuk, Y. Biletskyi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 69–76. |
| Is part of: | Mathematical Modeling and Computing, 1 (6), 2019 |
| Issue: | 1 |
| Issue Date: | 26-Feb-2019 |
| Publisher: | Lviv Politechnic Publishing House |
| Place of the edition/event: | Львів Lviv |
| UDC: | 681.513 621.365 62-83-52 |
| Keywords: | дугова сталеплавильна піч електричний режим трифазний вектор струмів фаз дельта–функція дисперсія оптимізація адаптація arc furnace electric mode three-dimensional vector of phase currents stochastic control delta function dispersion optimization adaptation |
| Number of pages: | 8 |
| Page range: | 69-76 |
| Start page: | 69 |
| End page: | 76 |
| Abstract: | У роботі на основі рівняння Фоккера–Планка–Колмогорова та статистичної теорії
керування отримано математичну модель оперативного синтезу оптимальних керуючих
впливів для стабілізації електричного режиму дугової сталеплавильної печі в
двоконтурній структурі з швидкодіючим електричним контуром регулювання струмів дуг. 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. |
| URI: | https://ena.lpnu.ua/handle/ntb/46158 |
| Copyright owner: | CMM IAPMM NAS © 2019 Lviv Polytechnic National University |
| References (Ukraine): | 1. LozynskyiO., MaruschakYa. Three-dimensional stochastic model of the electric mode regulation of an arc furnace. Automation of production processes in mechanical engineering and instrumentation. 31, 7–11 (1993). 2. LozynskyiO., ParancukYa., LozynskyiA. Optimization of dynamic regimes of interconnected electromechanical systems. Visnyk of Lviv Polytechnic National University: “Electrical and electromechanical systems”. 421, 98–103 (2001). 3. NikolaevA., Povelitsa E., KornilovG., AnufrievA. Research and Development of Automatic Control System for Electric Arc Furnace Electrode Positioning. Appl. Mech. Mater. 785, 707–713 (2015). 4. Ghiormez L., PˇanoiuM. Curent control of a 3-phase electric arc furnace using fuzzy logic. ANNALS of Faculty Engineering Hunedoara. Inter. J. Engineering. XIII (4), 237–242 (2015). 5. NikolaevA.A., Tulupov P.G. Method of setting optimum asymmetric mode of operation of electric arc furnace. 2016 11th France–Japan & 9th Europe-Asia Congress on Mechatronics (MECATRONICS) 17th International Conference on Research and Education in Mechatronics (REM), Compiegne. 033–037 (2016). 6. ZhengT., MakramE.B. An Adaptive Arc Furnace Model. IEEE Transaction on power delivery. 15 (3), 931–939 (2000). 7. Rahmatollah Hooshmand, Mahdi Banejad, Mahdi Torabian Esfahani. A New Time Domain Model for Electric Arc Furnace. Journal of Electrical Engineering. 59 (4), 195–202 (2008). 8. KrasovskyA.A. Statistical theory of transients in control systems. Moscow, Nauka (1968), (in Russian). 9. LozynskyiO., ParanchukY., Stakhiv P. The study of dynamics of the two-loop arc furnace electric mode ACS on a Simulink-model. Przeglad Elektrotechniczny. 94 (12), 24–27 (2018). 10. LozynskyyO., LozynskyyA., ParanchukY., ParanchukR., MarushchakY., MalyarA. Analysis and synthesis of intelligent system for electric mode control in electric arc furnace. Lecture Notes in Electrical Engineering. 452, 111–130 (2018). 11. LozynskyiO., LozynskyiA., ParanchukY., ParanchukR., Holovach I., TsyapaV. Fuzzy extreme control and electric mode coordinates stabilization of arc steel-melting furnace. 2016 XIth International Scientific and Technical Conference Computer Sciences and Information Technologies (CSIT). 49–54 (2016). |
| References (International): | 1. LozynskyiO., MaruschakYa. Three-dimensional stochastic model of the electric mode regulation of an arc furnace. Automation of production processes in mechanical engineering and instrumentation. 31, 7–11 (1993). 2. LozynskyiO., ParancukYa., LozynskyiA. Optimization of dynamic regimes of interconnected electromechanical systems. Visnyk of Lviv Polytechnic National University: "Electrical and electromechanical systems". 421, 98–103 (2001). 3. NikolaevA., Povelitsa E., KornilovG., AnufrievA. Research and Development of Automatic Control System for Electric Arc Furnace Electrode Positioning. Appl. Mech. Mater. 785, 707–713 (2015). 4. Ghiormez L., PˇanoiuM. Curent control of a 3-phase electric arc furnace using fuzzy logic. ANNALS of Faculty Engineering Hunedoara. Inter. J. Engineering. XIII (4), 237–242 (2015). 5. NikolaevA.A., Tulupov P.G. Method of setting optimum asymmetric mode of operation of electric arc furnace. 2016 11th France–Japan & 9th Europe-Asia Congress on Mechatronics (MECATRONICS) 17th International Conference on Research and Education in Mechatronics (REM), Compiegne. 033–037 (2016). 6. ZhengT., MakramE.B. An Adaptive Arc Furnace Model. IEEE Transaction on power delivery. 15 (3), 931–939 (2000). 7. Rahmatollah Hooshmand, Mahdi Banejad, Mahdi Torabian Esfahani. A New Time Domain Model for Electric Arc Furnace. Journal of Electrical Engineering. 59 (4), 195–202 (2008). 8. KrasovskyA.A. Statistical theory of transients in control systems. Moscow, Nauka (1968), (in Russian). 9. LozynskyiO., ParanchukY., Stakhiv P. The study of dynamics of the two-loop arc furnace electric mode ACS on a Simulink-model. Przeglad Elektrotechniczny. 94 (12), 24–27 (2018). 10. LozynskyyO., LozynskyyA., ParanchukY., ParanchukR., MarushchakY., MalyarA. Analysis and synthesis of intelligent system for electric mode control in electric arc furnace. Lecture Notes in Electrical Engineering. 452, 111–130 (2018). 11. LozynskyiO., LozynskyiA., ParanchukY., ParanchukR., Holovach I., TsyapaV. Fuzzy extreme control and electric mode coordinates stabilization of arc steel-melting furnace. 2016 XIth International Scientific and Technical Conference Computer Sciences and Information Technologies (CSIT). 49–54 (2016). |
| Content type: | Article |
| Appears in Collections: | Mathematical Modeling And Computing. – 2019. – Vol. 6, No. 1 |
| File | Description | Size | Format | |
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| 2019v6n1_Lozynskyi_O-Optimal_control_of_the_69-76.pdf | 733.24 kB | Adobe PDF | View/Open | |
| 2019v6n1_Lozynskyi_O-Optimal_control_of_the_69-76__COVER.png | 419.21 kB | image/png | View/Open |
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