MATHEMATICAL MODELING AND EXPERIMENTAL STUDIES OF A FREQUENCY CONVERTER FOR INDUCTION HEATING SYSTEMS

The article discusses the development and application of induction heating systems in various industries, including agricultural machinery manufacturing, the automotive industry, and metal processing. A comparative analysis of induction installations and conventional heating methods is presented, highlighting their advantages such as high heating rates and efficiency, improved process control, and reduced energy consumption. The mathematical model of the frequency converter for induction heating systems is based on a system of discrete equations describing the dynamics of multidimensional variables. Unlike existing approaches, the proposed model takes into account the optimal operating frequency range, reduces the number of power transistors, and considers the installed power, thereby maintaining high energy efficiency. Within the scope of the study, a prototype frequency converter operating in the 2-20 kHz range with single-phase and three-phase power supply, as well as a 6 kW inductor, were designed and manufactured. Experimental studies confirmed the adequacy of the proposed model and its applicability under real technological conditions. The practical significance of the work lies in the possibility of using the developed model and prototype to select optimal induction heating technologies for mechanical engineering and agricultural machinery, ensuring increased reliability, reduced energy consumption, and lower operational costs. The results demonstrated the sufficiency of the proposed model and confirmed its practical applicability. onic components, which may affect both the converter operation and the power supply network. It was shown that variations in converter parameters have a significant impact on the selection of optimal induction heating modes, which is of practical importance for both educational purposes and industrial implementation.

1. Design and optimization of H-type asymmetric magnetic suspension vibration absorber for ships / B. Zhou et al // Journal of Vibration and Control. – 2025. – № 31. – Р. 344-354.

2. Liao H. High-Precision Composite Control of Driving Current for Non-Contact Annular Electromagnetic Stabilized Spacecraft Subject to Multiple Disturbances / H. Liao, H. Yuan, J. Xie // Aerospace. – 2024. – № 11(8). – Р. 627.

3. Review on Active Vibration Control Method of Magnetically Suspended System / W. Han et al // IEEE Access. – 2023. – № 11. – Р. 108117-108125.

4. Frequency-doubling displacement disturbance suppression of active magnetic bearing based on repetitive control / A.J. Li et al // IEEE 10th International Power Electronics and Motion Control Conference (IPEMC2024-ECCE Asia). – 2024. – Р. 707-711.

5. Isembergenov N.T., Sagyndikova A.Zh., Taysarieva K.N., 03.06.2015. Author's certificate № 91438, Grain drying plant.

6. Isembergenov N. T., Sagyndikova A. Zh. 11.03.2015Author's certificate № 93979 Installation for drying grain using induction heating.

7. Prevention of thrombus formation in blood pump by mechanical circular orbital excitation of impeller in magnetically levitated centrifugal pump / K. Hatakenaka et al // Artificial Organs. – 2023. – № 47(2). – Р. 425-431.

8. Effects of mechanical interfaces on magnetic levitation systems and analysis of self-excited vibration mechanisms in coupled systems / J. Tang et al // Science China Technological Sciences. – 2024. – № 67(12). – Р. 3925-3939.

9. Linear permanent magnet electrodynamic suspension system: Dynamic characteristics, magnetic-mechanical coupling and filed test. / H. Shi et al // Measurement. – 2024. – № 225. – Р. 113960.

10. Мechanics of the Movement of Grain on a Helical Surface in the Induction Dryer / A.J. Sagyndikova et al // Journal of Engineering and Applied Science. – 2015. – № 10(8). – Р. 267- 269.

11. Nonlinear Dynamics of a Micromechanical Non-Contact Induction Suspension. / D.Y. Skubov et al // Mechanics of Solids. – 2023. – № 58(6). – Р. 2011-2023.

12. Ng C. The Thomson Jumping Ring Experiment and Ideal Transformer / C. Ng // The Physics Teacher. – 2022. – № 60(5). – Р. 376-379.

13. Ladera C.L. Unveiling the physics of the Thomson jumping ring / C.L. Ladera, G. Donoso // American Journal of Physics. – 2015. – № 83(4). – Р. 341-348.

14. Tjossem P.J.H. Optimizing Thomson’s jumping ring / P.J.H. Tjossem, E.C. Brost // American Journal of Physics. – 2011. – № 79(4). – Р. 353-358.

15. Taweepong J. Jumping ring experiment: effect of temperature, non-magnetic material and applied current on the jump height / J. Taweepong, K. Thamaphat, S.Limsuwan // Procedia Engineering. – 2012. – № 32. – Р. 982-988.

16. Bolyukh V.F. Influence of an excitation source on the power indicators of a linear pulse electromechanical converter of induction type / V.F. Bolyukh, I.S. Shchukin // Technical Electrodynamicsno. – 2021. – № 3. – Р. 28-36.

17. Bolyukh V.F. Influence of the Form of Pulse of Excitation on the Speed and Power Parameters of the Linear Pulse Electromechanical Converter of the Induction Type / V.F. Bolyukh, I.I. Katkov // Proceedings of the ASME International Mechanical Engineering Congress and Exposition. 2(B): Advanced Manufacturing. – 2019.

18. Bolyukh V.F. Features of excitation of a linear electromechanical converter of inductiontype from an AC source / V.F. Bolyukh, Y.V. Kashansky, I.S. Schukin // Electrical Engineering & Electromechanics. – 2021. – № 1. – Р. 3-9.

19. Physical modeling of the features of anchor acceleration in a pulse electromechanical converter of induction type / Yu.M. Vaskovsky et al // Technical Electrodynamics. – 1986. – № 3. – Р. 66-69.

20. Reduction of auto seismic oscillations of the ballistic laser gravimeter on account of the excitation of the induction-dynamic catapult by a pulse packet / V. Bolyukh et al // Ukrainian Metrological Journal. – 2020. – № 3. – Р. 3-11.