- Details
- Category: Contens №6 2019
- Last Updated on 01 January 2020
- Published on 23 December 2019
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**Authors:**

**О.М.Pihnastyi**, Dr. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0002-5424-9843, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

**Purpose. **Development of algorithms for controlling the speed of the conveyor belt, based on the distributed model of the transport system, containing partial differential equations

**Methodology. **To calculate the parameters of a conveyor line with a variable speed of material motion, an instrument of mathematical physics is used.

**Findings. **Comparative analysis of conveyor transport system models is performed. Application of partial differential equations for simulating transport systems of conveyor type, which are complex dynamic distributed systems, is substantiated. A non-dimensional model of a conveyor system in instantaneous approximation with the use of partial-derivative equations is presented. A system of characteristic equations is recorded and a solution is developed which defines the value of material flow and material density at an arbitrary point of time for the given point of the transportation route. An expression is obtained which defines the value of material delay in the transport system depending on the velocity defect law for conveyor belt movement. Transition period time is determined during which the output material flow is defined by linear density of material disposition along the transportation route. Dependences for the material linear density and material flow for the steady state condition are defined. The performance criterion of control of flow parameters of the conveyor system is recorded and a solution of the problem of optimal control of conveyor belt speed providing the relay control mode with the minimum power consumption for material movement is found. An example of control algorithm development is given.

**Originality. **PDE-models of transport systems of conveyor type and energy-saving algorithms for controlling such systems have been improved.

**Practical value.**The proposed method for calculating the parameters of the conveyor line, which is a dynamic distributed system, can be used to design systems for optimal control of flow parameters of transport systems of conveyor type

**References.**

**1**. Siemens (2017). *SIMINE for conveyors*. Retrieved from https://goo.gl/Ku90xp.

**2**. Semenchenko, A., Stadnik, M., Belitsky, P., Semenchenko, D., & Stepanenko, O. (2016). The impact of an uneven loading of a belt conveyor on the loading of drive motors and energy consumption in transportation. *Eastern-European Journal of Enterprise Technologies,* (82), 42-51. https://doi.org/10.15587/1729-4061.2016.75936.

**3**. Monastyrskii, V. F., Maksiutenko, V. F., & Kiriia, R. V. (2010). Efficiency of belt conveyor performance at mining enterprises. *Geotehnicheskaia mekhanika,* (88), 185-191.

**4**. Prokuda, V. N., Mishanskii, Yu. A., & Protsenko, S. N. (2012). Research on and estimation of cargo traffic in linehaul conveyor transport of PSP “Shakhta “Pavlogradskaia” PAO DTEK “Pavlogradugol”. *Gornaia elektromehhanika,* (88), 107-111.

**5**. Stavitskii, V. N., & Ogolobchenko, A. S. (2013). Mathematical modeling of transport system of a production unit. *Nauchnyie trudy Donetskogo natsionalnogo tekhnicheskogo universiteta*, (1), 53-63. Retrieved from http://science.donntu.edu.ua/aup/velyada/library/article2.pdf.

**6**. Reutov, A. A. (2017). Simulation modeling of discontinuous speed variation of the conveyor. *Problemy nedroispolzovaniia*, (2), 26-32. https://doi.org/10.18454/2313-1586.2017.02.026.

**7**. Kondrahin, V. P., Stadnik, N. I., & Belickij, P. V. (2013). Statistical analysis of performance parameters of shaft belt conveyor. *Nauchnyie trudy Donetskogo natsionalnogo tekhnicheskogo universiteta*, (2), 140-150. Retrieved from http://nbuv.gov.ua/UJRN/Npdntu_gir_2013_2_15.

**8**. Stavickii,V. N. (2012). Dynamics of load of variable-speed drive of a belt conveyor. *Nauchnyie trudy Donetskogo natsionalnogo tekhnicheskogo universiteta*, (23), 49-53. Retrieved from https://goo.gl/UD95Hj.

**9**. Rebenkov, E. S. (2016). Synthesis of fuzzy regulator of frequency-controlled drive of a conveyor with spring linkage. *Mining informational and analytical bulletin,* (4), 68-75.

**10**. Zatonskii, A. V. (2017). Dynamic dimensional model of a multidrive belt conveyor. *Vestnik Of Astrakhan State Technical University*, (4), 99-110. https://doi.org/10.24143/2072-9502-2017-4-99-110.

**11**. Markarian, L. V., & Selnitsyna, M. V. (2016). Analysis and modelling of occasional mining cargo traffic on linehaul assembly conveyor. *Mining informational and analytical bulletin*, (5), 67-74.

**12**. Zaika, V. T., Razumnyi, Yu. T., & Prokuda, V. N. (2015). Regulated drives influence on coal flow and energy efficiency of mine conveyor transport system. *Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu,* (3), 82-88.

**13**. Lauhoff, H. (2005). Speed Control on Belt Conveyors – Does it Really Save Energy? *Bulk Solids Handling Publ*., (25/6), 368-377.

**14**. Pihnastyi, O. M. (2015). *Analysis of Models of Transient Controlled Production Processes. Scientific Bulletins of the Belgorod State University,* (35/1), 133-144. https://doi.org/10.5281/zenodo.2595561.

**15**. Pihnastyi O. M. (2018). *Statistical theory of control systems of the flow production.* LAP LAMBERT Academic Publishing, ISBN: 978-613-9-95512-1.

**16**. DIN 22101:2002-08 (2002). *Continous conveyors. Belt conveyors for loose bulk materials. **Basics for calculation and dimensioning*. Normenausschuss Bergbau (FABERG) im Deutsches Institut für Normung. Retrieved from https://www.din.de/en/wdc-beuth:din21:145598666.

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