Analytical Study on the Effect of Rotor Slot Skewing on the Parasitic Torques of the Squirrel Cage Induction Machine

Analytical Study on the Effect of Rotor Slot Skewing on the Parasitic Torques of the Squirrel Cage Induction Machine

Volume 10, Issue 1, Page No 20-36, 2025

Author’s Name: Gábor Kovács

View Affiliations

Ganz Electric Works, 1095 Budapest, Hungary

a)whom correspondence should be addressed. E-mail: gabor.kovacs.ganz@gmail.com

Adv. Sci. Technol. Eng. Syst. J. 10(1), 20-36 (2025); a  DOI: 10.25046/aj100104

Keywords: Induction motor, Squirrel cage, Rotor slot skewing, Parasitic torques, Space harmonics

Share

29 Downloads

Export Citations

Skewing of the rotor slot of a squirrel-cage induction machine has been commonly used since the beginning. However, little guidance is given regarding the principle of the working effect of the method, but even in such rare cases, the explanation does not cover the true physical reality. Consequently no formula exists for calculation of the effect. In this study, the principle of the working effect of the rotor’s skewing is derived in accordance with the true physics of the phenomenon, for both the synchronous and the asynchronous parasitic torque. The calculation regarding synchronous parasitic torque is based on comparing the stepped MMF curve of the straight rotor slot and the trapezoidal MMF curve of the skewed slot. New formulas are provided for both type of parasitic torques. Practical cases are investigated in details. Knowing the theory and the formula of slot skewing, the skew can now be applied on a targeted manner and in some cases, can completely eliminate the dangerous torque and noise components. Consequently, a theorem is formulated on when to skew according to the stator and when acc. to the rotor slot pitch; another theorem was found regarding residual synchronous parasitic torque after skewing. The investigation is then extended to include differential leakage attenuation calculations. With this in mind, from the point of view of rotor slot skew, the topic has been reviewed in its entirety.

Received: 2o November 2024 Revised: 05 January 2025 Accepted: 06 January 2025 Online: 24 January 2025

  1. Lang Wang, Xiaohua Bao, Chong Di, Yang Zhou, Qinfen Lu, “Analysis of synchronous parasitic torque in dual skew cage rotor induction motors with equivalent slot number”, IET Electr. Power Appl., 11(8), 1357-1365, 2017 DOI: 10.1049/iet-epa.2016.0565 www.ietdl.org
  2. G. Joksimović, A. Kajević, S. Mujović, T. Dlabač, V. Ambrožič, A. Tessarolo, “Rotor bars skewing impact on electromagnetic pulsations in
    cage induction motor”, Proc. IcETRAN, 292-296, 2019.
  3.  C. Guérin, R. Ruiz, Y. Le Floch, P. Lombard, M. Vilcot, J.P. Ducreux, A. Abakar, L. Sadi-haddad, “Two Techniques for Modeling an Induction Motor with Skewed Slots with a TimeStepping 2D-3D Finite Element Method”, IEEE International Conference on Electric Machines and Drives, 2005. DOI: 10.1109/IEMDC.2005.195845
  4. B. Asad, T. Vaimann, A. Belahcen, A. Kallaste, A. Rassolkin, H. van Khang, P. S. Ghahfarokhi, M. U. Naseer, M. Iqbal, “The Modeling and
    Investigation of Slot Skews and Supply Imbalance on the Development of Principal Slotting Harmonics in Squirrel Cage Induction Machine, DOI 10.1109/ACCESS.2021.3134331
  5. Carbonieri, M.; Bianchi, N. “A Complete and Fast Analysis Procedure for Three-Phase Induction Motors Using Finite Element, Considering Skewing and Iron Losses”. Appl. Sci. 2021, 11, 2428. DOI:10.1109/IEMDC.2019.8785364
  6. R. Pile, E. Devillers, Z. Zahar, J. Besnerais, “Fast Calculation of Electromagnetic Vibrations Induced by Longitudinally Varying Excitations
    in Skewed Electrical Machine”, ICEM 2022, Valencia, Spain, DOI: 10.1109/ICEM51905.2022.9910809
  7. K. Gyftakis, J. Kappatou, “A new technique for the skewing consideration in the 2-D FEM un-skewed induction motor time-dependant
    electromagnetic characteristics” 2016 19th International Conference on Electrical Machines and Systems (ICEMS), 2016.
  8. G. Joksimovic, M. Durovic, A. Obradovic: “Skew and linear rise of MMF across slot modeling – winding function approach”, IEEE Transactions on Energy Conversion, 14(3), September 1999 DOI: 10.1109/60.790876
  9. G. Kovács: “Harmonics in the Squirrel Cage Induction Motor; Analytic Calculation; Part I.: Differential Leakage, Attenuation and Asynchronous Parasitic Torques”. CES (China Electrotechnical Society) Transactions on Electrical Machines and Systems, 7(3), 320-329, 2023, DOI 10.30941/CESTEMS.2023.00034
  10. G. Kovács: “Harmonics in the Squirrel Cage Induction Motor; Analytic Calculation; Part II.: Synchronous Parasitic Torques, Radial Magnetic
    Forces”. CES (China Electrotechnical Society) Transactions on Electrical Machines and Systems, 7(4), 404-421, 2023, DOI 10.30941/CESTEMS.2023.00035
  11. G. Kovács, “Harmonics in the Squirrel Cage Induction Motor; Analytic Calculation; Part III.: Influence on the Torque-Speed Characteristic”, CES (China Electrotechnical Society) Transactions on Electrical Machines and Systems, 8(1), 86 – 102, March 2024, DOI: 10.30941/CESTEMS.2024.00006
  12. Richter, R.: Elektrische Machinen, Vierter Band, Die Induktionsmaschine, Springer Verlag 1936., 1950.
  13. Liska J.: Villamos gépek III. Szinkron gépek. (in Hungarian) Tankönyvkiadó, Budapest, 1966
  14. Liska J.: Villamos gépek IV. Aszinkron gépek. (in Hungarian) Tankönyvkiadó, Budapest, 1960
  15. Heller, B., Hamata, V.: „Harmonic Field Effects in Induction Machines” ELSEVIER Scientific Publishing Company Amsterdam, Oxford, New
    York 1977
  16. Möller, H.: „Über die Drehmomente beim Anlauf von Drehstrommotoren mit Käfigankern”. Archiv für Elektrotechnik 1930. p. 400-424.
    https://katalog.slub-dresden.de/en/id/0-1161496939

Citations by Dimensions

Citations by PlumX

Crossref Citations

This paper is currently not cited.

No. of Downloads Per Month

ASTESJ_100104 L
No. of Downloads Per Country

Special Issues

Special Issue on Innovation in Computing, Engineering Science & Technology
Guest Editors: Prof. Wang Xiu Ying
Deadline: 15 November 2025

Special Issue on Computing, Engineering and Multidisciplinary Sciences
Guest Editors: Prof. Wang Xiu Ying
Deadline: 30 April 2025