Design and analysis of a multiphysical model of a three-phase electromagnetic exciter of low-frequency oscillations with a four-circuit power module

The creation of a reversible AC electric machine with rotary motion based on a four-circuit power module of an electromagnetic exciter of low-frequency mechanical oscillations, i.e., an electric machine of reciprocating (oscillatory) motion, represents a relevant research task. The research object includes a three-phase electromagnetic exciter of low-frequency mechanical oscillations, whose power module consists of four paired identical resonant circuits. The circuits include an inductor and a capacitor connected in series in the power supply circuit. The design of this electric machine was carried out using the COMSOL MULTIPHYSICS software environment. In order to convert the frequency of the supply voltage (50 Hz) in the input circuit to the low-frequency range of mechanical oscillations at the output of each power module, the parameters of the series-connected inductance of the coil and capacitor were adjusted to achieve voltage resonance. In order to generate an increased torque, the paired circuits of the power modules alternately acted on the anchor located in the center by analogy with electric machines of rotary motion. The animations depicting the processes of beating of the input high-frequency signals inside a slowly changing sinusoid of the traction force obtained as a result of computer simulation demonstrate the possibility of their smooth modulation in the low-frequency region at the output. The obtained data also demonstrate the possibility of creating a reversible rotary motion of the electromagnet anchor when changing the polarity (direction of movement of electric currents) of the corresponding pairs in the resonant circuits, performed taking into account the assumption of conditioned linearity of passive elements in the resonant circuits of the alternating current electric circuit and the linearization of the dependence of active parameters on passive ones. The following areas of application of electromagnetic exciters of low-frequency mechanical vibrations can be recommended: (1) in the motor mode of operation, as an actuator in technological processes of mixing and preparing liquid products to a homogeneous consistency; (2) in the generator mode, as a converter of energy from renewable sources into electrical energy.

1. Nitusov Yu.E. On a circuit of an electromagnetic vibrator. Elektrichestvo. 1956;5:81-84. (In Russ.).

2. Tumanov I.E. Parametric electromagnetic exciter of low-frequency mechanical vibrations for systems for monitoring, measuring and multi-fraction liquid product mass batching. Russian Internet Journal of Electrical Engineering. 2013;8:48-51. (In Russ.). EDN: QIRCRJ.

3. Tumanov I.E. Electromagnetic exciter of low-frequency mechanical vibrations. questions of theory, modeling, development and application significance. Smart Electrical Engineering. 2021;1:83-92. (In Russ.). https://doi.org/10.46960/2658-6754_2021_1_83. EDN: FKFEXX.

4. Tumanov I.E., Orynbayev S.A., Baibutanov B., Kruglikov A., Kaceico P. Modeling of physical subsystem using an example of electromagnetic exciter of low-frequency oscillations. Applied Mechanics and Materials. 2015;736:97-102. https://doi.org/10.4028/www.scientific.net/AMM.736.97.

5. Nurimbetov A., Bekbayev A., Orynbayev S., Baibutanov B., Tumanov I., Keikimanova M. Optimization of windmill’s layered composite blades to reduce aerodynamic noise and use in construction of “green” cities In: International scientific Conference Urban civil Engineering and Municipal facilities (Spbucemf-2015): Procedia Engineering. 2015;117:273-287. https://doi.org/10.1016/j.proeng.2015.08.162. EDN: UZYEBZ.

6. Karzhavov B.N. Approximators of sinusoidal functions in electric drives with controlled torque in actuators. Elektrichestvo. 2015;9:39-47. (In Russ.).

7. Nazarov A.I., Ibadullaev M.I., Tillyahodzhaev M.M. Structural diagram of an electromagnetic vibration exciter with amplitude-frequency control. Problems of energy and sources saving. 2016;3-4:55-59. (In Russ.).

8. Afanasyev A.I., Zakamennykh A.Yu. Analysis of power consumption by resonance vibrotransport machines. Minerals and Mining Engineering. 2008;8:107-109. (In Russ.). EDN: KVXSWF.

9. Nuraliev A.K., Esenbekov A.Zh., Ibadullaev M.I. Mathematical model of an electromagnetic vibrator with an inverterbased power source. Bulletin of Moscow Power Engineering Institute. 2022;1:94-97. (In Russ.). https://doi.org/10.24160/1993-6982-2022-1-94-97.

10. Ibadullaev M.I., Nuraliev A.K., Esenbekov A.Zh., Nazarov A.I. A resonant electromagnetic vibration exciter of oscillations with a feedback Bulletin of Moscow Power Engineering Institute. 2020;1:62-66. (In Russ.). https://doi.org/10.24160/1993-6982-2020-1-62-66. EDN: GAVDKN.

11. Tumanov I.E. Parametric synthesis of the mechanical characteristic of an electromagnetic exciter of lowfrequency oscillations based on analytical geometry methods and its multiphysical modeling. Chief Mechanical Engineer. 2023;11:642-647. (In Russ.).

12. Harris M.R., Lawrenson P.J., Stefenson J.M. Per-unit systems: with special reference to electrical machines. Cambridge University Press, 1970. (Russ. ed.: Sistemy otnositel’nyh edinic v teorii elektricheskih mashin. Moscow: Energiya; 1975, 120 р.)

13. Ibadullaev M.I., Tillyahodzhaev M.M., Abdullaev D.A. Determination of computer structural circuits with automatic resonance tuning. Problems of energy and sources saving. 2011;1-2:136-140. (In Russ.).

14. Bogolyubov N.N., Mitropol’skij Yu.A. Asymptotic methods in the theory of nonlinear oscillations. Available from: http://lib.ysu.am/open_books/37978.pdf [Accessed 30th September 2024]. (In Russ.).

15. Krasil’nikov P.S., Bajkov A.E., Churkina T.E. Applied methods for studying nonlinear oscillations. Izhevsk: Izhevsk Institute of Computer Science; 2015, 528 р. (In Russ.). EDN: VEYXHP.

16. Bogolyubov N.N., Krylov N.M. Collection of Scientific Works. Vol. 2: Mathematics and Nonlinear Mechanics. Nonlinear Mechanics. Moscow: Nauka; 2005, 828 р. (In Russ.).

17. Borisov A.V., Mamaev I.S. Solid body dynamics. Izhevsk: Regulyarnaya i haoticheskaya dinamika; 2001. 378 р. (In Russ.). EDN: TLWBKL.

18. Bezglasnyj S.P. On control of motion of a parametric pendulum. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics. 2015;15(1):67-73. (In Russ.). https://doi.org/10.18500/1816-9791-2015-15-1-67-73. EDN: TMMCLN.

19. Bardin B.S. On nonlinear motions of a Hamiltonian system in the case of external resonance. Reports on Mathematical Physics. 2002;49(2-3):133-142. https://doi.org/10.1016/S0034-4877(02)80013-1. EDN: LHGJDD.

20. Akulenko L.D., Nesterov S.V. The stability of the equilibrium of a pendulum of variable length. Journal of Applied Mathematics and Mechanics. 2009;73(6):893-902. (In Russ.). EDN: KXXQTX.

21. Antipov V.I., Efremenkov V.V., Ruin A.A., Subbotin K.Yu. Improving vibration mechanisms efficiency by excitation of low-frequency resonant oscillation mode. Glass and Ceramics. 2007;80(5):13-16. (In Russ.).