- Details
- Category: Information Technologies
- Last Updated on 29 June 2019
- Published on 16 June 2019
- Hits: 1690

**Authors:**

**Yu.H.Kachan**, Dr. Sc. (Tech), Prof., orcid.org/0000-0001-9984-3646, Zaporozhye National Technical University, Ukraine, Zaporizhzhia, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

**V.Yu.Mishchenko**, orcid.org/0000-0003-0673-2504, Zaporozhye National Technical University, Ukraine, Zaporizhzhia, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

**Abstract:**

**Purpose. **Creation of a mathematical model of the process of energy input into an ore-thermal furnace and its distribution in volume taking into account both the electrical and occurring thermal phenomena and the representation of the bath as a set of elementary components. The latter ones, due to electrical resistance, consume electricity which is converted into heat, and then it is redistributed in volume through heat transferring. This will enable to obtain 3D changing picture in the temperature field of the working space and to solve various issues and practical problems related to energy efficiency improvement in the process of obtaining ferroalloys and in the short power supply of the furnace.

**Methodology. **The mathematical model creation is based on a real sequence of processes occurring in the furnace working space and the continuous interconnection between thermal and electrical transformations. This approach makes it possible to implement the description of the process in the form of an algorithm, whose calculated blocks are constructed on the basis of the following methods: the theory of electric circuits; the description of the volume space based on cylindrical coordinates; the analysis of the processes of heat removing in materials with different aggregate state due to heat transferring.

**Findings. **A 3D picture of the temperature field in the furnace bath in the process is created, which in real time allows determining the temperature state of elemental volumes and the moments of melt appearance in them as well separating furnace zones, which require additional energy input to calculate the volume and dynamics of the finished melt formation and the time of its discharging. Due to the information obtained about the physical condition of the charge at any place of the furnace working space, it was possible to track the changing dynamics of the material surface relief and to determine the place of the charge filling in dynamics.

**Originality. **A possibility of energy distribution in the bath of ore-thermal furnace in dynamics and calculation of the temperature field in it was determined. A mathematical model of the smelting ferroalloys process where the relationship of electrical and thermal processes in the volume of the charge can be considered was proposed. All these allow determining the indicators which affect the power efficiency melting.

**Practical value. **The use of the suggested model allows calculating the amount of energy input at any elemental volume of the ore-furnace bath over a certain period of time, and solving the practical problems of power efficiency process.

**References.**

**1. **Fedina, I. V. (2014). Energy saving in the production of ferrous and non-ferrous metals*. Information technology in education, science and production, 4*(9), 152-159.

**2. **Hryshchenko, S. H., Hasyk, M. I., Kutsyn, V. S., Soloshenko, P. A., & Kudriavtsev, S. L. (2014). State, problems and prospects of development of the ferroalloy industry in Ukraine. *Metallurgy, 2*(2), 14-17.

**3. **Kutsyn, V. S. (2013). Newest energy-saving technologies of manganese ferroalloys production in electric furnaces. *New materials and technologies in metallurgy and machine-building, 3*, 168-183.

**4. **Kolesnyk, V. M. (2014). Assessment of the production of ferroalloy products as an important component of the metallurgical complex of Ukraine. *Economic space: Collection of scientific works,* *89*, 19-28.

**5. **Nekhamin, S. M. (2013). Management of the energy structure of the working space of arc steelmaking and ore-thermal furnaces ‒ the mechanism of increasing the efficiency of their work. *Electrometallurgy*, *11*, 9-16.

**6. **Levchenko, S. A. (2016). Electromagnetic and thermal fields of ore-thermal melting furnace. *Herald NTU “KhPI”. Series: Mechanic-technological systems and complexes*,*17*(1189), 76-80.

**7. **Artiukh, F. S., & Kukharev, A. L. (2014). Ways to improve the energy efficiency of powerful electric furnaces. *Herald NTU “KhPI”. Series: Energy: Reliability and Energy Efficiency*, *56*(1098), 11-21.

**8. **Kachan, Yu. G., & Mishchenko, V. Yu. (2018). About the integrated approach at modeling of work of ore-thermal furnace. *Metallurgy: scientific works of Zaporizhzhia State Engineering Academy*, *1*(39), 94-96.

**9. **Bakyrov, A. H., Zhunusov, A. K., Chekymbaiev, A. F., & Shoshai, Zh. (2018). Investigation of the electrical resistivity of charge mixtures for smelting ferrosilicoaluminium. *Science and technology of Kazakhstan*, *2*, 14-18.

**10. **Kachan, Yu. H., Liush, Yu. B., & Mishchenko, V. Yu. (2018). Algorithm for calculating the temperature field of a bath of an ore-thermal furnace. *Herald of Khmelnytskyi National University*, *3*(261), 19-22.

**11. **Lobov, V. Y., & Kotliar, M. O. (2015). Simulation of temperature distribution in a layer of gas-air evaporators of an air-chamber in conveyor furnaces of the plant of connection. *Scientific bulletin NGU*, *2*, 109-117.

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