Mathematical modelling of starting modes of induction motors with squirrel-cage rotor
Keywords:induction motor, mathematical models, starting static characteristics, transients, saturation of the magnetic core, current displacement, compensation of reactive power
Purpose. Development of methods and algorithms for calculation of starting modes of the induction motors with the squirrel-cage rotor. Methodology. Mathematical modelling of starting modes of asynchronous electric drives in various coordinate systems with the use of numerical methods for solving boundary problems for systems of differential equations and nonlinear systems of final equations and calculation with their use of static characteristics. Results. Methods and algorithms for numerical analysis of the starting modes of asynchronous electric drive have been developed, which make it possible to calculate the static characteristics and transients in fixed three-phase and orthogonal two-phase coordinate systems. Academic novelty. Known in the literature methods of calculation of starting modes have in their basis classical equivalent circuits with different approximate methods of calculating the parameters taking into account the saturation of a magnetic core and current displacement in a rotor winding. This approach requires a special solution of the adequacy problem for each problem. The methods described in the article for the saturation accounting use real magnetization characteristics of the main magnetic flux and leakage fluxes separately, and the skin effect phenomenon is taken into account by representing the squirrel-cage rotor winding as multilayer. Such mathematical model of the motor is universal and makes it possible to take into account the saturation and current displacement in any dynamic mode, including the start-up process. Mathematical models developed on the basis of the proposed methods provide the adequacy of results with a minimum amount of calculations and make it possible to perform optimization calculations. Practical value. Created on the basis of developed algorithms calculation programs allow to carry out with high reliability calculation of starting modes both in three-phase and two-phase axes of coordinates that gives the chance to analyze not only symmetric, but also asymmetric modes and to predict special features of functioning of system of the electric drive in the set technological conditions of operation and to form requirements to development and adjustment of starting systems with the purpose of maintenance of power effective and reliable operation of system of asynchronous electric drives.
Chernyiy, A.P., Gladyir, A.I., Osadchuk, Yu.G., Kurbanov, I.R., Voshun, A.N. Starting systems of unregulated electric drives. Kremenchug: PF Shcherbatykh A.V., 2006, 280 p. (Rus).
Abhishek Garg, Arun Singh Tomar. Starting time calculation for induction motor. International Journal of Engineering Research and Applications, May 2015, vol. 5, iss. 5, pp. 56-60. Available at: http://www.ijera.com/papers/Vol5_issue5/Part%20-%203/J505035660.pdf (accessed 12.10.2020).
Hashimov A.M., Rahmanov R.N. Starting-Up Impact of Powerful Asynchronous Motors Used at Gas-Compressor Units on GRID Mode. ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations. 2012, no. 1, pp. 17-22. (Rus).
Belyaev V.P., Skakun V.V. Dynamics of processes of start-up of the asynchronous electric drive. Proceedings of BSTU, 2015, no. 9 (182), pp. 34-40. Available at: https://elib.belstu.by/bitstream/123456789/17345/1/dinamika-processov-puska-asinxronnogo-ehlektroprivoda-dynamics-of-processes-of-start-up-of-the-asynchronous-electric-drive-v.-p.-belyaev-v.-v.-skakun-v.-p.-belyaev-v.-v.-skakun.pdf (accessed 12.10.2020). (Rus).
Khrebtova О. Forming the induction motor torque when starting. Technical Electrodynamics, 2020, no. 5, pp. 40-44. doi: https://doi.org/10.15407/techned2020.05.040.
Aflyatunov I.F. Asinkhronnyi elektroprivod s kondensatornym pusko-reguliruiushchim ustroistvom: dis. kand. tekhn. nauk [Asynchronous electric drive with capacitor start up regulator device. Cand. tech. sci. diss.]. Ulyanovsk, UlGTU Publ., 2016. 150 p. Available at: https://www.dissercat.com/content/asinkhronnyi-elektroprivod-s-kondensatornym-pusko-kompensiruyushchim-ustroistvom (accessed 12.10.2020). (Rus).
Vishnevskiy L.V., Muha N.I., Pavlenko S.S. Pusk asinkhronnykh elektrodvigatelei s kompensatsiei reaktivnoi moshchnosti: monografiia [Start of asynchronous motors with reactive power compensation]. Odessa, NU OMA Publ., 2016. 160 p. (Rus).
Gorbachevskiy N.I., Aflyatunov I.F. Investigation of starting an induction motor with capacitors in series in the stator circuit. Bulletin of the Kazan Technological University, 2013, vol. 16, no. 12, pp. 112-114. Available at: https://www.elibrary.ru/download/elibrary_19141286_43355538.pdf (accessed 12.10.2020). (Rus).
Malyar V., Hamola O., Maday V., Vasylchyshyn I. Mathematical modeling of processes in asynchronous motors with capacitors connected in series. 2015 16th International Conference on Computational Problems of Electrical Engineering (CPEE), Lviv, Ukraine, 2015, pp. 107-109. doi: https://doi.org/10.1109/cpee.2015.7333350.
Diachenko G.G., Aziukovskyi O.O. Review of methods for energy-efficiency improvement in induction machines. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2020, no. 1, pp. 80-88. doi: https://doi.org/10.33271/nvngu/2020-1/080.
Khrisanov V.I. Analysis of starting transients of squirrel-cage induction motor. The start-off stage. Russian Electrical Engineering, 2010, vol. 81, no. 3, pp. 109-114. doi: https://doi.org/10.3103/S1068371210030016.
Kocman S., Orsag P., Pecinka P. Simulation of Start-Up Behaviour of Induction Motor with Direct Online Connection. Advances in Electrical and Electronic Engineering, 2018, vol. 15, no. 5, pp. 754-762. doi: https://doi.org/10.15598/aeee.v15i5.2342.
Zamchalkin A.S., Tyukov V.A. Numerical modeling of process of start-up of the induction motor. Proceedings of TUSUR University, 2012, no. 1 (25), part 1, pp. 171-177. Available at: https://journal.tusur.ru/storage/45503/171.pdf?1466640193 (accessed 12.10.2020). (Rus).
Kulagin D.O. The mathematical model of asynchronous traction motor taking into account the saturation of magnetic circuits. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2014, no. 6, pp. 103-110. Available at: https://nvngu.in.ua/index.php/en/component/jdownloads/finish/50-06/1538-2014-6-kulagin/0 (accessed 12.10.2020). (Ukr).
Malyar V.S. Main provisions of the spline method for calculating the periodic operation modes of electric circuits. Electronics and Communications, 1998, no. 5, pp. 11-14. (Rus).
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