Monitoring transmission systems is a huge scientific focus to prevent any anomaly and malfunctioning damaging the system. Several methods were used to investigate the gears behaviour and mainly its state. And until the last century, vibrations signals were the most performing technique in this field. However, nowadays, other alternatives are considered more accurate and accessible such as controlling the motor current signals to study the behaviour of the mechanical system. Within this context, this paper aims to study the electromechanical interaction between a double stage of planetary gearboxes driven by an asynchronous machine. The model used is based on a Park transformation for modelling the asynchronous machine and a torsional model to describe the dynamic behaviour of the double-stage planetary gearbox. Through this approach, the numerical simulations illustrate the impact of the tooth gear defect on the signature of the motor current. The results obtained from the simulations will be presented in the time domain and the frequency domain using the fast Fourier transform and the Hanning window to highlight the mechanical frequencies in the phase current spectrum. This work will be distinguished by validating the numerical results using experimental measurements, which will be displayed in order to justify the sensitivity of the model developed.

Revised:

Accepted:

Published online:

Safa Boudhraa ^{1, 2};
Alfonso Fernandez del Rincon ^{1};
Fakher Chaari ^{2};
Mohamed Haddar ^{2};
Fernando Viadero ^{1}

@article{CRMECA_2021__349_2_275_0, author = {Safa Boudhraa and Alfonso Fernandez del Rincon and Fakher Chaari and Mohamed Haddar and Fernando Viadero}, title = {Tooth defect detection in planetary gears by the current signature analysis: numerical modelling and experimental measurements}, journal = {Comptes Rendus. M\'ecanique}, pages = {275--298}, publisher = {Acad\'emie des sciences, Paris}, volume = {349}, number = {2}, year = {2021}, doi = {10.5802/crmeca.84}, language = {en}, }

TY - JOUR AU - Safa Boudhraa AU - Alfonso Fernandez del Rincon AU - Fakher Chaari AU - Mohamed Haddar AU - Fernando Viadero TI - Tooth defect detection in planetary gears by the current signature analysis: numerical modelling and experimental measurements JO - Comptes Rendus. Mécanique PY - 2021 SP - 275 EP - 298 VL - 349 IS - 2 PB - Académie des sciences, Paris DO - 10.5802/crmeca.84 LA - en ID - CRMECA_2021__349_2_275_0 ER -

%0 Journal Article %A Safa Boudhraa %A Alfonso Fernandez del Rincon %A Fakher Chaari %A Mohamed Haddar %A Fernando Viadero %T Tooth defect detection in planetary gears by the current signature analysis: numerical modelling and experimental measurements %J Comptes Rendus. Mécanique %D 2021 %P 275-298 %V 349 %N 2 %I Académie des sciences, Paris %R 10.5802/crmeca.84 %G en %F CRMECA_2021__349_2_275_0

Safa Boudhraa; Alfonso Fernandez del Rincon; Fakher Chaari; Mohamed Haddar; Fernando Viadero. Tooth defect detection in planetary gears by the current signature analysis: numerical modelling and experimental measurements. Comptes Rendus. Mécanique, Volume 349 (2021) no. 2, pp. 275-298. doi : 10.5802/crmeca.84. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.84/

[1] Modeling of local damages in spur gears and effects on dynamics response in presence of varying load conditions, Proc. Surveill., Volume 6 (2011), pp. 1-19

[2] Dynamic analysis of a planetary gear failure caused by tooth pitting and cracking, J. Fail. Anal. Prev., Volume 6 (2006) no. 2, pp. 73-78 | DOI

[3] Effect of cracks and pitting defects on gear meshing, Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., Volume 226 (2012) no. 11, pp. 2805-2815

[4] Enhanced model of gear transmission dynamics for condition monitoring applications: effects of torque, friction and bearing clearance, Mech. Syst. Signal Process., Volume 85 (2017), pp. 445-467 | DOI | Zbl

[5] New procedure for gear fault detection and diagnosis using instantaneous angular speed, Mech. Syst. Signal Process., Volume 85 (2017), pp. 415-428 | DOI

[6] Detection and localization of tooth breakage fault on wind turbine planetary gear system considering gear manufacturing errors, Shock Vib., Volume 2014 (2014), 692347

[7] Planetary gearbox vibration signal characteristics analysis and fault diagnosis, Shock Vib., Volume 2015 (2015), 126489

[8] An accelerated life test model for solid lubricated bearings based on dependence analysis and proportional hazard effect, Acta Astronaut., Volume 95 (2014), pp. 30-36 | DOI

[9] A transfer matrix method for free vibration analysis and crack identification of stepped beams with multiple edge cracks and different boundary conditions, Int. J. Mech. Sci., Volume 57 (2012) no. 1, pp. 19-33 | DOI | MR

[10] A study on defect identification of planetary gearbox under large speed oscillation, Math. Probl. Eng., Volume 2016 (2016), 5289698 | DOI

[11] Monitoring gear vibrations through motor current signature analysis and wavelet transform, Mech. Syst. Signal Process., Volume 20 (2006) no. 1, pp. 158-187 | DOI

[12] Investigation of electromechanical coupling vibration characteristics of an electric drive multistage gear system, Mech. Mach. Theory, Volume 121 (2018), pp. 446-459 | DOI

[13] Fault identification on electrical machines based on experimental analysis, Advances in Condition Monitoring of Machinery in Non-Stationary Operations, Springer, Berlin, Heidelberg, 2014, pp. 611-630 | DOI

[14] Models for bearing damage detection in induction motors using stator current monitoring, IEEE Trans. Ind. Electron., Volume 55 (2008) no. 4, pp. 1813-1822 | DOI

[15] Model based current analysis of electrical machines to detect faults in planetary gearboxes, 2014 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (2014), pp. 1616-1621 | DOI

[16] Performance analysis of a three-phase induction motor under mixed eccentricity condition, IEEE Trans. Energy Convers., Volume 17 (2002) no. 3, pp. 392-399 | DOI

[17] Motor bearing damage detection using stator current monitoring, IEEE Trans. Ind. Appl., Volume 31 (1995) no. 6, pp. 1274-1279 | DOI

[18] Gearbox monitoring using induction machine stator current analysis, 2007 IEEE International Symposium on Diagnostics for Electric Machines, Power Electronics and Drives (2007), pp. 149-154 | DOI

[19] Monitoring torsional vibrations of electro–mechanical systems using stator currents, J. Vib. Acoust., Volume 120 (1998) no. 1, pp. 72-79 | DOI

[20] An integrated electro–mechanical model of motor-gear units—applications to tooth fault detection by electric measurements, Mech. Syst. Signal Process., Volume 29 (2012), pp. 377-390 | DOI

[21] Equivalent circuits for the hunting of electrical machinery, Trans. Amer. Inst. Electr. Eng., Volume 61 (1942) no. 5, pp. 290-296 | DOI

[22] Monitoring tooth profile faults in epicyclic gearboxes using synchronously averaged motor currents: mathematical modeling and experimental validation, Mech. Syst. Signal Process., Volume 84 (2017), pp. 78-99 | DOI

[23] Permanent magnet synchronous generator stator current AM–FM model and joint signature analysis for planetary gearbox fault diagnosis, Mech. Syst. Signal Process., Volume 149 (2021), 107331

[24] Fault diagnosis of induction motor drive using motor current signature analysis, ICASISET 2020, 16–17 May 2020, Chennai, India (2021)

[25] Analytical characterization of the unique properties of planetary gear free vibration, J. Vib. Acoust., Volume 121 (1999) no. 3, pp. 316-321 | DOI

[26] Advanced model for the calculation of meshing forces in spur gear planetary transmissions, Meccanica, Volume 50 (2015) no. 7, pp. 1869-1894 | DOI | MR | Zbl

[27] Modélisation électro–mécanique de transmissions par engrenages: applications à la détection et au suivi des avaries, Ph. D. Thesis, INSA, Lyon (2012)

[28] Régimes Transitoires des Machines Tournantes Électriques, Eyrolles, Paris, 1987, 209 pages

[29] Mathematical model of asynchronous machine in MATLAB Simulink, Int. J. Eng. Sci. Technol., Volume 2 (2010) no. 5, pp. 1260-1267

[30] Effects of variable loading conditions on the dynamic behaviour of planetary gear with power recirculation, Measurement, Volume 94 (2016), pp. 306-315 | DOI

[31] Early detection of tooth crack damage in gearbox using empirical wavelet transform combined by Hilbert transform, J. Vib. Control, Volume 23 (2017) no. 10, pp. 1623-1634 | DOI

[32] Brief review of motor current signature analysis, HDKBR Info Mag., Volume 5 (2015) no. 1, pp. 14-26

[33] On-line current monitoring to detect electrical and mechanical faults in three-phase induction motor drives, Proceedings of International Conference on Life Management of Power Plants, December 1994 (1994), pp. 66-73 | DOI

[34] Advances in diagnostic techniques for induction machines, IEEE Trans. Ind. Electron., Volume 55 (2008) no. 12, pp. 4109-4126 | DOI

*Cited by Sources: *

Comments - Policy