Stator current spectrum analysis of a double cage induction motor with rotor asymmetry

• Autorzy: Tulicki Jarosław , Sobczyk Tadeusz Jan , Sułowicz Maciej

Identyfikatory

DOI

10.24425/aee.2023.145413

• Języki publikacji: EN

Abstrakty

EN

This study presents a method to directly calculate the stator current Fourier spectra in double-cage induction motors to diagnose faults in rotor cages. A circuit model is developed for this purpose, allowing the modelling of any asymmetry in the outer and inner rotor cages. The model extends the conventional model of a cage motor by considering the higher space harmonics generated by the stator windings. The asymmetry of the cages is modelled by growing the resistance of any of the rotor bars. This results in various model equations, to be solved by looking for diagnostic signals. Motor current signature analysis is typically used to diagnose cage motors based on the Fourier spectra of the stator currents during steady-state operation. This study determines these spectra for double cage motors using the harmonic balance method, omitting the transient calculations. The calculation results confirmed the sensitivity of the stator current Fourier spectra as a diagnostic signal to distinguish faults in the outer and inner cages.

Słowa kluczowe

EN

cage asymmetry; double cage induction motor; harmonic balance method; steady-state analysis; stator current Fourier spectra

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2023
• Tom: Vol. 72, nr 2
• Strony: 357--371
• Opis fizyczny: Bibliogr. 28 poz., rys., tab., wz.

Twórcy

autor

Tulicki Jarosław

• Department of Electrical Engineering Faculty of Electrical and Computer Engineering Cracow University of Technology 24 Warszawska str., 31-155 Kraków, Poland

• https://orcid.org/0000-0003-1720-3448

autor

Sobczyk Tadeusz Jan

• Department of Electrical Engineering Faculty of Electrical and Computer Engineering Cracow University of Technology 24 Warszawska str., 31-155 Kraków, Poland

autor

Sułowicz Maciej

• Department of Electrical Engineering Faculty of Electrical and Computer Engineering Cracow University of Technology 24 Warszawska str., 31-155 Kraków, Poland

• https://orcid.org/0000-0001-6436-1110

Bibliografia

• [1] Taegen F., Hommes E., Das allgemeine Gleichungssystem des Käfigläufermotors unter Berücksichtigung der Oberfelder, Teil I: Allgemeine Theorie, Archiv für Elektrotechnik, Springer-Verlag, vol. 52, pp. 21–31 (1972), DOI: 10.1007/BF01407854.
• [2] Sobczyk T., Infinitely dimensional linear and quadratic forms of electric machines, Rozprawy Elektrotechniczne, PWN, vol. 29, bull. 1, pp. 697–707 (1983).
• [3] Sobczyk T., Equations of Squirrel-Cage Induction Motors with Symmetrical Design in Steady-State Operation, Rozprawy Elektrotechniczne, PWN, vol. 33, bull. 1, pp. 137–149 (1987).
• [4] Drozdowski P., Sobczyk T.J., On a mathematical model of squirrel-cage induction motor, Archiv fur Elektrotechnik, Springer-Verlag, vol. 70, pp. 371–382 (1987), DOI: 10.1007/BF01574005.
• [5] Williamson S., Abdel-Magied M.A.S., Steady-state analysis of double-cage induction motors with rotor-cage faults, IEE Proceedings B (Electric Power Applications), vol. 134, no. 4, pp. 199–206 (1987), DOI: 10.1049/ip-b.1987.0034.
• [6] Sobczyk T.J., Weinreb K., Analysis of currents and an electromagnetic torque in steady states of induction squirrel-cage motors with asymmetric stator windings, Archiv für Elektrotechnik, Springer-Verlag, vol. 71, pp. 245–256 (1988), DOI: 10.1007/BF01580174.
• [7] Nabeta S.I., Chabu I.E., Cardoso J.R., Foggia A., Double-cage induction motor modelling using finite elements, Electric Machines and Drives Conference, Milwaukee, WI, USA, pp. 1–3 (1997), DOI: 10.1109/IEMDC.1997.604291.
• [8] Rusek J., Categorization of induction machines in current signature analysis, Electrical Engineering, Springer-Verlag, vol. 84, pp. 265–273 (2002), DOI: 10.1007/s00202-002-0131-9.
• [9] Sobczyk T.J., Methodical aspects of mathematical modeling of induction machines, WNT (in Polish), Warsaw (2004).
• [10] Sobczyk T.J., Frequency analysis of faulty machines – possibilities and limitations, IEEE Int. Symp. on Diagnostics for Electric Machines, Power Electronics and Drives, Cracow, Poland, pp. 1–5 (2007), DOI: 10.1109/DEMPED.2007.4393081.
• [11] Pitis C.D., Thermo-mechanical stresses of the squirrel cage rotors in adverse load conditions, Int. Symp. Electrical Insulation, Vancouver, BC, Canada, pp. 1–7 (2008), DOI: 10.1109/ELINSL.2008.4570399.
• [12] Boldea I., Nasad Syed A., The Induction Machines Design Handbook, 2𝑛𝑑 Edition, CRC Press (2009), DOI: 10.1201/9781315222592.
• [13] Park J., Kim B., Lee K., Lee S.B., Wiedenbrug E.J., Teska M., Han S., Evaluation of the detectability of broken rotor bars for double squirrel cage rotor induction motors, IEEE Energy Conversion Congress and Exposition, Atlanta, GA, USA, pp. 2493–2500 (2010), DOI: 10.1109/ECCE.2010.5617950.
• [14] Węgiel T., Weinreb K., Sułowicz M., Main inductances of induction motor for diagnostically specialized mathematical models, Archives of Electrical Engineering, vol. 59, no. 1–2, pp. 51–66 (2010), DOI: 10.2478/s10171-010-0004-1.
• [15] Antonino-Daviu J., Riera-Guasp M., Pons-Llinares J., Park J., Lee S.B., Yoo J., Kral C., Detection of broken outer-cage bars for double-cage induction motors under the startup transient, IEEE Transac- tions on Industry Applications, vol. 5, no. 48, pp. 1539–1548 (2012), DOI: 10.1109/TIA.2012.2210173.
• [16] Gritli Y., Di Tommaso A.O., Filippetti F., Miceli R., Rossi C., Chatti A., Investigation of motor current signature and vibration analysis for diagnosing rotor broken bars in double cage induction motors, Int. Symp. on Power Electronics, Electrical Drives, Automation and Motion, Sorrento, Italy, pp. 1360–1365 (2012), DOI: 10.1109/SPEEDAM.2012.6264465.
• [17] Gritli Y., Di Tommaso A.O., Filippetti F., Miceli R., Rossi C., Vibration signature analysis for rotor broken bar diagnosis in double cage induction motor drives, 4th International Conference on Power Engineering, Energy and Electrical Drives, Istanbul, Turkey, pp. 1814–1820 (2013), DOI: 10.1109/PowerEng.2013.6635893.
• [18] Gyftakis K.N., Athanasopoulos D.K., Kappatou J., Broken bar fault diagnosis in single and double cage induction motors fed by asymmetrical voltage supply, IEEE Int. Symp. on Diagnostics for Electric Machines, Power Electronics and Drives, Valencia, Spain, pp. 402–406 (2013), DOI:10.1109/DEMPED.2013.6645747.
• [19] Pyrhonen J., Jokinen T., Hrabovcova V., Design of rotating electrical machines, 2nd Edition, John Wiley & Sons (2013), DOI: 10.1002/9781118701591.
• [20] Weinreb K., Diagnostics of an induction-motor rotor by the spectral analysis of stator currents, Thermal Engineering, Springer US, vol. 60, no. 14, pp. 1006–1023 (2013), DOI: 10.1134/S0040601513140073.
• [21] Gritli Y., Lee S.B., Filippetti F., Zarri L., Advanced diagnosis of outer cage damage in double-squirrel-cage induction motors under time-varying conditions based on wavelet analysis, IEEE Transactions on Industry Applications, vol. 3, no. 50, pp. 1791–1800 (2014), DOI: 10.1109/TIA.2013.2285958.
• [22] Pons-Llinares J., Antonino-Daviu J., Riera-Guasp M., Lee S.B., Kang T.-J., Yang C., Advanced induction motor rotor fault diagnosis via continuous and discrete time–frequency tools, IEEE Transactions on Industrial Electronics, vol. 62, no. 3, pp. 1791–1802 (2015), DOI: 10.1109/TIE.2014.2355816.
• [23] Mróz J., The model of double-cage induction motor for the analysis of thermal fields in transient operations, Archives of Electrical Engineering, vol. 66, no. 2, pp. 397–408 (2017), DOI: 10.1515/aee-2017-0030.
• [24] Tulicki J., Weinreb K., Sułowicz M., The possibility of distinguishing rotor cage bar faults in double squirrel cage induction motors on the basis of the stator current signal, Int. Symp. on Electrical Machines (SME), Naleczow, Poland, pp. 1–6 (2017), DOI: 10.1109/ISEM.2017.7993563.
• [25] Hmida M.A., Braham A., An on-line condition monitoring system for incipient fault detection in double-cage induction motor, IEEE Transactions on Instrumentation and Measurement, vol. 67, no. 8, pp. 1850–1858 (2018), DOI: 10.1109/TIM.2018.2806009.
• [26] Kim D.H., Choi J.H., Kim K.S., Lee J., Kim W.H., Design process of working bar of double-cage induction motor, IEEE Transactions on Applied Superconductivity, vol. 30, no. 4, pp. 1–5 (2020), DOI: 10.1109/TASC.2020.2976965.
• [27] Kim D.H., Kim K.S., Lee J., Yang I.J., Song S.W., Kim W.H., Study on performance improvement by rotating working bar of double-cage induction motor, IEEE Energy Conversion Congress and Exposition (ECCE), Detroit, MI, USA, pp. 2042–2045 (2020), DOI: 10.1109/ECCE44975.2020.9236269.
• [28] Bouabid N., Moussa M.A., Maouche Y., Khezzar A., The effect of closed loop control on diagnostic indices in different faults of squirrel cage induction motor, Archives of Electrical Engineering, vol. 70, no. 4, pp. 943–958 (2021), DOI: 10.24425/aee.2021.138271.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).