Implementation of Simoyu method for modeling of transients of control object

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Abstract

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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About the authors

Viktor S. Artemyev

Plekhanov Russian University of Economics

Author for correspondence.
Email: electricequipment@yandex.ru
ORCID iD: 0000-0002-0860-6328
SPIN-code: 8912-5825
Scopus Author ID: 58002154300

senior lecturer, Department of Computer Science

Russian Federation, Moscow

Alexey S. Maksimov

Russian Biotechnological University (ROSBIOTECH)

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

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

Russian Federation, Moscow

References

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Supplementary files

Supplementary Files
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1. JATS XML
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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