MATHEMATICAL MODELING OF AN INDUCTION MOTOR DRIVEFOR A WINDING MACHINE

Authors

DOI:

https://doi.org/10.35546/kntu2078-4481.2026.2.2

Keywords:

winding machine, induction motor drive, control system, mathematical modeling, frequency control, transient processes

Abstract

The article considers the process of mathematical modeling of an asynchronous electric drive of a winding device, which is a key component of a technological line for the production of cable products. The main attention is paid to the peculiarities of the operation of the electric drive in conditions of variable system dynamics associated with changes in the moment of inertia, winding radius and load during the operating cycle. The need to maintain stable cable tension and synchronize winding speed with other stages of the production line is outlined, which determines the quality and reliability of the finished product. A generalized mathematical model of an electromechanical system is proposed, built on the basis of equations in α–β coordinates, taking into account the principles of vector control and modern approaches to frequency and torque control. The model allows taking into account the interaction of electrical and mechanical parameters of the system, which ensures reliable reproduction of real operating modes and creates a basis for further optimization of the control system. During the study, transient processes of starting the electric drive, changes in modes at the moment of transition between winding layers, as well as the behavior of the system throughout the entire operating cycle were obtained. An analysis of the influence of variable loads and drum parameters on speed, torque, and stator currents was conducted. The constructed graphs of changes in the main parameters of the system over time made it possible to evaluate the dynamic properties of the drive. It is shown that the use of an adaptive speed controller allows maintaining stable operating characteristics, minimizing overloads and ensuring energy efficiency of the system operation. The simulation results confirm the feasibility of using the developed model for practical solutions in high-precision technological processes, where constant control of cable tension is required. At the same time, the possibility of integrating the model into modern digital control systems is emphasized, which opens up prospects for the modernization of existing production lines and the creation of new energy-efficient solutions.

References

Fang H., Tang W. Research and design of AC winder control system. 2010 2nd IEEE international conference on information management and engineering. Chengdu, China. 2010. P. 50–52. URL: https://doi.org/10.1109/icime.2010.5477541.

Jones M., Dujic D., Levi E. A five-phase two-motor centre-driven winder with series-connected motors. IECON 2007 – 33rd annual conference of the IEEE industrial electronics society. Taipei, Taiwan. 2007. P. 1324–1329. URL: https://doi.org/10.1109/iecon.2007.4459982.

Seshadri A., Pagilla P. R. Modeling and control of a rotating turret winder used in roll-to-roll manufacturing. Control engineering practice. 2015. Vol. 41. P. 164–175. URL: https://doi.org/10.1016/j.conengprac.2015.04.009.

Kytaev А., Yakymchuk H. Selection of an asynchronous motor for a variable frequency drive winder. Electrical and computer systems. Kyiv: Tekhnika. 2019. No. 27. P. 52–56. URL: https://eltecs.op.edu.ua/journal/article/1114.

Polilov E. Synthesis of relay tension bar of the indirect action of the electric drive winder, taking into account the elasticity of the kinematic links in the space of the original coordinates. Electrical and computer systems. Kyiv: Tekhnika. 2023. No. 61. P. 11–16. URL: https://eltecs.op.edu.ua/journal/article/2191.

Larin V. Y. Methods of monitoring motion parameters of winders. Eastern-European journal of enterprise technologies. 2014. Vol. 4, no. 9(70). P. 10–14. URL: https://doi.org/10.15587/1729-4061.2014.26272.

Cazac V., Nuca I. The control system modeling of winder with hybrid Fuzzy-PID controller. 2016 international conference and exposition on electrical and power engineering (EPE). Iasi, Romania. 2016. P. 492–497. URL: https://doi.org/10.1109/icepe.2016.7781389.

Wang B., Zheng X., Bao J., Li J. A neural network-based energy consumption prediction model for feature selection and paremeter optimization of winders. 2020 IEEE international conference on networking, sensing and control (ICNSC). Nanjing, China. 2020. P. 1–5. URL: https://doi.org/10.1109/icnsc48988.2020.9238073.

Приймак Б. І. Деякі особливості задачі максимізації моменту векторно-керованих асинхронних двигунів у режимі ослаблення поля. Праці Інституту електродинаміки Національної академії наук України. № 46, 2025. С. 30–42. URL: https://prc.ied.org.ua/proceedings/article/view/256.

Malyar V. S., Hamola O. Y., Maday V. S. Modelling of dynamic modes of an induction electric drive at periodic load. Electrical engineering & electromechanics. 2020. No. 3. P. 9–14. URL: https://doi.org/10.20998/2074-272x.2020.3.02.

Андрющенко О. А., Бойко А. О., Бересан О. О. Математичне моделювання системи електроприводу ТПН– АД у пакеті Matlab Simulink. Математичне моделювання. Дніпродзержинськ: ДДТУ, 2010. С. 39–42. URL: https://www.dstu.dp.ua/Portal/Data/74/66/15st-11.pdf.

Boiko A., Besarab O., Plis V. Peculiarities of mathematical modeling of an induction motor taking into account its nonlinearities. Odes’kyi politechnichnyi universytet pratsi. 2022. Vol. 2, no. 66. P. 32–43. URL: https://doi.org/10.15276/opu.2.66.2022.04.

Толочко О. І. Моделювання електромеханічних систем. Математичне моделювання систем асинхронного електроприводу. Київ, НТУУ «КПІ». 2016. 150 с. URL: https://ela.kpi.ua/bitstream/123456789/15658/1/Modelyuvannia_asunxron_system.pdf.

Семенюк М., Куцик А., Місюренко В. Математичне моделювання частотно-керованого електроприводу з двообмотковою асинхронною машиною з врахуванням просторових гармонік. Електроенергетичні та електромеханічні системи. 2023. Т. 5, № 1. С. 47–59. URL: https://doi.org/10.23939/sepes2023.01.047.

Ansari A., Deshpande D. Mathematical Model of Asynchronous Machine in MATLAB Simulink. International journal of engineering science and technology. 2010. Vol. 2(5). P. 1260–1267. URL: https://www.researchgate.net/publication/50273958.

Sharma G., Parashar D., Chandel A. Analysis of dynamic model of three phase induction motor with MATLAB/ SIMULINK. 2020 international conference on advances in computing, communication & materials (ICACCM), Dehradun, India. 2020. P. 51–58. URL: https://doi.org/10.1109/icaccm50413.2020.9212965.

Published

2026-05-07