The analytic-field method for calculating the squirrel-cage induction motor parameters

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Authors:

V. Finkelshtein, Dr. Sc. (Tech.), Prof., Professor of the Department of Power Supply and Power Consumption of Cities, orcid.org/0000-0002-8016-9214, O. M. Beketov National University of Urban Economy in Kharkiv, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O. Iegorov, Cand. Sc. (Tech.), Assoc. Prof., Assistant Professor of the Department of Alternative Electricity and Electrical Engineering, orcid.org/0000-0003-2599-1624, O. M. Beketov National University of Urban Economy in Kharkiv, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O. Petrenko, Dr. Sc. (Tech.), Prof., Assistant Professor of the Department of Electric Transport, orcid.org/0000-0003-4027-4818, O. M. Beketov National University of Urban Economy in Kharkiv, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O. Koliada, Cand. Sc. (Tech.), Assoc. Prof., Assistant Professor of the Department of Power Supply and Power Consumption of Cities, orcid.org/0000-0003-3925-0499, O. M. Beketov National University of Urban Economy in Kharkiv, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

 

Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2020, (3): 67-72

https://doi.org/10.33271/nvngu/2020-3/067

 

повний текст / full article

 

 

Abstract:

Purpose. In the existing methods for calculating induction motors, such parameters as the coefficient of flattening of the of the air-gap field curve, the differential scattering coefficient and the saturated values of the inductive scattering resistances are calculated according to empirical formulas, the calculated values of which differ significantly from the experimental ones. The aim of the article is to develop methods (based on field calculations) which take into account eccentricity, saturation, and higher harmonics and is necessary when designing asynchronous motors.

Methodology. By expanding the Fourier series of the magnetic induction distribution curve in the air gap of a saturated squirrel-cage induction motor obtained by calculating the field by the finite element method, higher harmonics are determined taking into account the saturation and the rotor axis eccentricity relative to the stator axis and the exact values of inductive resistances.

Findings. A technique has been developed that increases the accuracy of the calculation of an induction motor, which eliminates errors from empirical formulas and takes into account eccentricity, saturated values of differential and groove scattering, saturation harmonics, and a flattening of the field curve in the gap, and ultimately improves the energy performance of induction motors.

Originality. The proposed technique for improving the calculation of induction motors in starting conditions allows determining the values of starting currents and torques on the motor shaft, which differ from the experimental ones by no more than the measurement error. The research results create the prerequisites for the development of an improved methodology for calculating an induction motor in all modes of its operation, which will allow us to design highly efficient motors that meet world requirements.

Practical value. Application of the proposed methodology for calculating the parameters of induction motors can increase the efficiency of electromagnetic calculations, reduce design errors, and reduce additional costs in the manufacture of prototypes.

References.

1. Finkelshtein, V. B. (2019). Computer program for checking the calculation of three-phase induction motors. Certificate of copyright registration for work No. 84510. Ukraine.

2. Magdanova, K. R. (2017). The effect of rotor eccentricity on the energy characteristics of an induction motor. Nauka-rastudent, 06(042). Retrieved from http://nauka-rastudent.ru/42/4274/.

3. Kumar, Mr J. Ravi, & Basavaraja Banakara (2017). Finite element analysis in the estimation of air-gap torque and surface temperature of induction machine. Materials science and engineering conference series, (225), 46-56. https://doi.org/10.1088/1757-899X/225/1/012116.

4. Bespalov, V. Ya., Kovarskij, M. E., & Sidorov, A. O. (2018). The study of pulsations of the electromagnetic moment of synchronous machines with permanent magnets with integer and fractional q values. Elektrichestvo, (5), 45-51.

5. Iegorov, O., Iegorova, O., & Kundenko, M. (2019). The Influence of the Phase Angle Between the Rotor Magnetic Axis and the Stator Winding Current Vector on the Synchronous Reluctance Motor Efficiency. IEEE International Conference on Modern Electrical and Energy Systems (MEES), (pp. 62-65). https://doi.org/10.1109/MEES.2019.8896480.

6. Milykh, V. I. (2016). The numerical-field analysis of the magnetic field and the electrical quantities in the turbogenerator stator under autonomous unbalanced loading. Elektrotehnika i elektromehanika, (5), 16-22. https://doi.org/10.20998/2074-272X.2016.1.05.

7. Koti, H. N. (2019). On Shortening the Numerical Transient in Time-Stepping Finite Element Analysis of Induction Motors: Method Implementation. IEEE International Electric Machines & Drives Conference (IEMDC), (pp. 1157-1162). https://doi.org/10.1109/IEMDC.2019.8785306.

8. Duan, F. (2016). Induction motor parameter estimation using sparse grid optimization algorithm. IEEE Transactions on Industrial Informatics, 12(4), 1453-1461. https://doi.org/ 10.1109/TII.2016.2573743.

9. Milykh, V. I. (2018). Numerical-field analysis of the adequacy of design data for three-phase asynchronous motors and a method for their refinement on this basis. Tekhnichna Elektrodynamika, (1), 47-55. https://doi.org/10.15407/techned2018.01.047.

10. Finkelshtein, V. B., Yegorov, O. B., Yegorova, O. Yu., & Gyetya, A. M. (2018). Schedule in the Fourier series of the curve of the distribution of magnetic induction in the air gap of electric machines. Certificate of copyright registration for work No. 83322, Ukraine.

11. Tikhonova, O., Malygin, I., & Plastun, A. (2017). Electromagnetic calculation for induction motors of various designs by ANSYS Maxwell. International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), (pp. 224-226). https://doi.org/10.1109/ICIEAM.2017.8076294.

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