Multidimensional dynamic model of an asynchronous electric motor in drives of technological equipment

Improving the quality indicators of machines and their components — drive systems — requires taking into account the dynamic processes that inevitably arise in the operation of technological machines when designing. These processes manifest themselves in the form of oscillations of inertial masses on the elastic elements of the drive, causing an increase in loads in the links and kinematic pairs, reducing the reliability characteristics and economic indicators of the machine. This is especially important in metalworking machines with a three-phase asynchronous electric motor, where vibrations in the working parts of the machines reduce the quality of the surface being processed, reduce the durability of the tool and, consequently, affect productivity. Most mechanical drives of technological equipment are multi-link. In the general case, to assess the dynamics of the developed drive design, it is necessary to use motion equations with a large number of generalized coordinates. The use of simplified two- and three-mass reduced dynamic models of drives of technological equipment will not provide sufficient information for improving the design.
EDN: BBGSPS, https://elibrary/bbgsps

References

[1] Samoylov D.K., Tuvin A.A. Mathematical model of analysis of two-mass dynamic model of mechanical system weaving machine - electric motor. Molodye uchenye — razvitiyu Natsionalnoy tekhnologicheskoy initsiativy, 2024, no. 1, pp. 1301–1303. (In Russ.).

[2] Shestakov A.V. Modeling and experimental analysis of dynamic characteristics of asynchronous motor. ICIEAM, 2019, doi: https://doi.org/10.1109/ ICIEAM. 2019.8743061 .

[3] Kral M., Gono R. Dynamic model of asynchronous machine. 18th Int. Sci. Conf. on EPE, 2017, doi: https://doi.org/10.1109/EPE.2017.7967320

[4] Afonichev D.N., Aksenov I.I., Pilyaev S.N. [Mathematical model of an asynchronous electric motor in the SimInTech software package]. Energoeffektivnost i energosberezhenie v sovremennom proizvodstve i obshchestve. Mat. mezhd. nauch.-prakt. konf. [Energy Efficiency and Energy Saving in Modern Production and Society. Proc. Int. Sci.-Pract. Conf.]. Voronezh, VGAU Publ., 2024, pp. 63–69. (In Russ.).

[5] Fedorov A.N. Analysis of a model of an asynchronous electric drive for modeling in open-phase modes with coupled and decoupled phases. Aspirant, 2022, no. 8, pp. 30–34. (In Russ.).

[6] Kolovskiy M.Z. Dinamika mashin [Dynamics of machines]. Leningrad, Mashinostroenie Publ., 1989. 263 p. (In Russ.).

[7] Dache C.R., Rosu E., Gaiceanu M. et al. Linearized model of the variable flux induction motor drive. Int. Sci. Conf. on EPE, 2016, pp. 658–663, doi: https://doi.org/10.1109/ICEPE.2016.7781421

[8] Reshetov D.N. Rabotosposobnost i nadezhnost detaley mashin [Performance and reliability of machine parts]. Moscow, Vysshaya shkola Publ., 1974. 206 p. (In Russ.).

[9] Malyar V.S., Malyar A.V., Andreishin A.S. A method for calculating mechanical characteristics of induction motors with squirrel-cage rotor. Elektrotekhnika i elektromekhanika [Electircal Engineering & Electromechanics], 2019, no. 2, pp. 9–13. (In Russ.).

[10] Veyts V.L., Gidaspov I.A., Tsarev G.V. Dinamika privodov s zamknutymi kinematicheskimi tsepyami [Dynamics of drives with closed kinematic chains]. Saransk, Izd-vo Mordov. un-ta Publ., 1991. 178 p. (In Russ.).

[11] Kreynin G.V., ed. Dinamika mashin i upravlenie mashinami [Dynamics of machines and machine control.]. Moscow, Mashinostroenie Publ., 1988. 240 p. (In Russ.).

[12] Reshetov D.N. Detali i mekhanizmy metallorezhushchikh stankov. T. 2 [Parts and mechanisms of metal-cutting machines. Vol. 2]. Moscow, Mashinostroenie Publ., 1972. 520 p. (In Russ.).

[13] Limarenko G.N., Shevchugov M.V., Shchepin A.N. Dinamicheskaya model dvigatelya pri krutilnykh i poperechnykh kolebaniyakh [Dynamic model of the engine with torsional and transverse vibrations]. V: Vestnik KGTU. Vyp. 36. Mashinostroenie [In: Vestnik of KSTU. Iss. 36. Mechanical Engineering]. Krasnoyarsk, IPTs KGTU Publ., 2004, 168 p. (In Russ.).

[14] Vulfson I.I. Dinamicheskie raschety tsiklovykh mekhanizmov [Dynamic calculations of cyclic mechanisms]. Leningrad, Mashinostroenie Publ., 1976. 328 p. (In Russ.).

[15] Guay P., Frikha A. Ball bearing stiffness. A new approach offering analytical expressions. Proc. 16th European Space Mechanisms and Tribology Symposium, 2015, pp. 23–25.

[16] Brungardt A.V., Shchepin A.N., Brungardt M.V. et al. Assessing the spindle dynamic quality. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2024, no. 7, pp. 29–39. EDN: UTPDYA (in Russ.).