MODELING THE MOVEMENT OF THE MAGNETIC FIELD OF AN ASYNCHRONOUS ELECTRIC MOTOR
UDC 621.313.333: 621.317.329
Belyaev Valeri Pavlovich – PhD (Engineering), Associate Professor, Assistant Professor, the Department of Printing Equipment and Information Processing Systems. Belarusian State Technological University (13a Sverdlova str., 220006, Minsk, Republic of Belarus). Email: beliaev@belstu.by
DOI: https://doi.org/ 10.52065/2520-6729-2025-291-1.
Key words: asynchronous electric motor, magnetic field, modeling, resultant magnetic induction, sinusoidal current.
For citation: Belyaev V. P. Modeling the movement of the magnetic field of an asynchronous electric motor. Proceedings of BSTU, issue 4, Print- and Mediatechnologies, 2025, no. 1 (291), pp. 5–11 (In Russian). DOI: 10.52065/2520-6729-2025-291-1.
Abstract
The article indicates the expediency of providing an integral description of the conditions when describing the processes of creating a rotating magnetic field of an induction electric motor. References to educational and technical literature indicate that it does not provide a clear explanation of the process of creating the rotation of the magnetic field in the stationary magnetic core of the stator of a three-phase induction motor. A detailed consideration of the formation of a rotating magnetic field in the stator magnetic core is proposed with a demonstration of this process by drawings on the example of a three-phase winding, in which all the turns of each phase are concentrated in one coil lying in two diametrically located grooves. Each single-phase winding, when a sinusoidal current passes through it, will create a pulsating magnetic field that is stationary in space and changes in time with the frequency of the mains current. The flow of three-phase sinusoidal currents in the phase windings occurs simultaneously. The result of their simultaneous interaction to create a common magnetic field is the sum of these stationary magnetic fields in the stator magnetic core. The mobility of this magnetic field arises as a result of the fact that the resulting magnetic induction Вres acquires a definite temporal location in the body of the magnetic core. This location changes by a certain angle in the cylindrical volume of the magnetic core in accordance with the current changes in the values of sinusoidal currents in the phase windings. Simulation of the angle of rotation of the vector of the resulting magnetic induction is performed on the basis of a mathematical model using the MathCAD computing environment. The simulation result showed that the displacement (rotation) of the resulting magnetic induction vector either uniformly accelerates or uniformly slows down during each halfcycle of sinusoidal current oscillations. The work is illustrated with graphs, mathematical apparatus, drawings explaining the conduct of the proposed scientific research.
References
- Kostenko M. P., Piotrovskiy L. M. Elektricheskiye mashiny [Electrical machines], part 2, Alternating current machines. Leningrad, Energiya Publ., 1958. 648 p. (In Russian).
- Voldek A. I. Elektricheskiye mashiny [Electrical machines]. Leningrad, Energiya Publ., 1966. 782 p. (In Russian).
- Bespalov V. Yа., Kotelenets N. F. Elektricheskiye mashiny [Electrical machines]. Moscow, Akademiya Publ., 2006. 320 p. (In Russian).
- Voldek A. I. Elektricheskiye mashiny [Electrical machines]. Leningrad, Energiya Publ., 1978. 832 p. (In Russian).
- Kitayev V. Ye., Korkhov Yu. M., Svirin V. K. Elektricheskiye mashiny [Electrical machines], part II, Alternating current machines, Moscow, Vysshaya shkola Publ., 1978. 184 p. (In Russian).
- Katsman M. M. Elektricheskiye mashiny i transformatory [Electrical machines and transformers]. Moscow, Vysshaya shkola Publ., 1971. 416 p. (In Russian).
- Radin V. I., Bruskin D. E., Zorokhovich A. Ye. Elektricheskiye mashiny. Asinkhronnyye mashiny [Electrical Machines. Asynchronous Machines]. Moscow, Vysshaya shkola Publ., 1988. 328 p. (In Russian).
- Bruskin D. E., Zorokhovich A. Ye., Khvostov V. S. Elektricheskiye mashiny i mikromashiny [Electrical machines and micromachines]. Moscow, Vysshaya shkola Publ., 1990. 528 p. (In Russian).
- Kopylov I. P. Elektricheskiye mashiny [Electrical machines]. Moscow, Yurayt Publ., 2020. 267 p. (In Russian).
- Belyaev V. P. About the magnetic field of an asynchronous electric. Novaya nauka: sovremennoye sostoyaniye i puti razvitiya: materialy Mezhdunarodnoy nauchno-prakticheskoy konferentsii [New science: current state and development paths: materials of the Internacional scientific and practical conference]. Neftekamsk, 2024, pp. 11–20 (In Russian).
- Rotating magnetic field. Operating principle of asynchronous and synchronous motors. Available at: https://www.upsinfo.ru/for_partners/library/teoretichekie_osnove_ilektrotehniki_dlya_ibp_ups_/vrashchayushcheesya_ magnitnoe pole_printsip_deystv (accessed 10.03.2024) (In Russian).
- But D. A. Osnovy elektromekhaniki [Fundamentals of Electromechanics]. Moscow, MAI Publ., 1996.
468 p. (In Russian).
15.11.2024