Implementation of Simoyu method for modeling of transients of control object

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Resumo

In this paper transients in the control system are investigated on the basis of experimental data. The construction of the transfer function of the control object using Simoyu method is realized by means of Python language. The model of the control system of the object, selection of the regulator and its settings are implemented using SimInTech modeling environment. Within the framework of the conducted research, methodological approaches to the formation of transfer functions of control objects represented in the form of polynomial expressions of various degrees of complexity, starting with polynomials of the first degree in the numerator and the second degree in the denominator, and ending with polynomials of the second degree in the denominator against the third degree in the numerator, have been developed and tested. A procedure for reading data in CSV format was used to build the Python program interface, which helped to simplify the integration of experimental results with analytical tools, providing a powerful platform for subsequent analysis, visualization, and interpretation of the resulting transfer functions. The procedures of debugging and optimization of the technique of visualization of results and estimation of calculation errors have been carried out, which allowed to provide a visual representation of data and high accuracy of the obtained transfer functions. In contrast to the known analytical studies in the field of differential equations describing transient processes, the use of numerical methods implemented by means of Python libraries and programming environments, in particular SimInTech, allows to simplify the analysis of transient processes of control objects.

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Sobre autores

Viktor Artemyev

Plekhanov Russian University of Economics

Autor responsável pela correspondência
Email: electricequipment@yandex.ru
ORCID ID: 0000-0002-0860-6328
Código SPIN: 8912-5825
Scopus Author ID: 58002154300

senior lecturer, Department of Computer Science

Rússia, Moscow

Alexey Maksimov

Russian Biotechnological University (ROSBIOTECH)

Email: maksimov@mgupp.ru
Código SPIN: 7284-7751

Cand. Sci. (Eng.), professor, Department of Informatics and Computer Science of Food Production

Rússia, Moscow

Bibliografia

  1. Dubovikov E.N., Shabalov V.A. Technologies of web application development for the analysis and synthesis of automatic control systems in the Python language. Economics and Management in the XXI Century: Science and Practice. 2017. No. 4. Pp. 262–267. (In Rus.)
  2. Sirotin D.G., Aliev V.K., Pakhomov R.A. Calculation of the transfer function coefficients of the gas flow regulator on the DEG supply line to the absorber at the complex gas treatment unit No. 9 of the Urengoy gas condensate field. Science. Technics. Technologies (Polytechnic Bulletin). 2016. No. 1. Pp. 67–81. (In Rus.)
  3. Stelmashchuk S.V. Determination of the moment of inertia of the electric drive by the acceleration curve using the Simoyu method. Proceedings of Tomsk Polytechnic University. Engineering of Georesources. 2015. Vol. 326. No. 6. Pp. 103–113. (In Rus.)
  4. Xusanov S.N. Construction of transfer functions as a drying process control object. Innovative Technologies. 2023. Vol. 52. No. 4-1. Pp. 88–93.
  5. Mikheev G.M., Efremov L.G., Bataligin S.N., Pulin A.N. Efficiency of application of the cable with cross-linked polyethylene insulation instead of the current conduit from aluminum busbars. Vestnik of Chuvash University. 2010. No. 3. Pp. 235–240. (In Rus.)
  6. Volgin V.V. Methods of calculation of automatic regulation systems. Tutorial. Moscow: MPEI Publishing House, 1972. 192 p.
  7. Remeslennikov D.V., Stafeichuk B.G. Application of the Nelder–Mead method for obtaining a mathematical model of the typical control objects in the programming environment realized in the Python programming language. Chemistry. Ecology. Urbanistics. 2021. Vol. 4. Pp. 300–304. (In Rus.)
  8. Lisienko V.G., Izhevskiy R.P., Chesnokov Yu.N. et al. Construction of mathematical model of technological objects by normalized transient characteristic using different software. In: Thermal engineering and informatics in education, science and production. Collection of reports of IX All-Russian Scientific and Practical Conference of Students, Graduate Students and Young Scientists (TIM’2021) with International Participation (Yekaterinburg, May 13–14, 2021). Ekaterinburg: Ural Federal University named after the first President of Russia B.N. Yeltsin, 2021. Pp. 251–257.

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2. Fig. 1. Acceleration curve of the control object

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3. Fig. 2. Transfer functions and experimental acceleration curve of the control object

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4. Fig. 3. Scheme of the control object: 1 – thermal object; 2 – centrifugal fan; 3 – damper; 4 – scale; 5 – needle; 6 – thermocouple; 7 – LATR; 8 – voltmeter

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5. Fig. 4. Code fragment for reading a file

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6. Fig. 5. Example of output list

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7. Fig. 6. Code fragment for conversion of string elements

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8. Fig.7. Code fragment for calculating areas by Simoyu method

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9. Fig. 8. Example of an array of areas

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10. Fig. 9. Code fragment for calculating the transfer function coefficients

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11. Fig. 10. Fragment for plotting and graph of the acceleration curve

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12. Fig. 11. Fragment for calculating the approximation error

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13. Fig. 12. Model of the control object

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14. Fig. 13. Customizing the properties of the object “transfer function of general form”

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15. Fig. 14. Graph of the acceleration curve of the control object

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16. Fig. 15. PID controller model

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17. Fig. 16. Transients of the control object

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