Abstract
Introduction
The electric drive system is usually composed of an electric motor and gear transmission system, and widely used for industrial applications. However, the dynamic behaviors of the coupled electromechanical system are still not well understood, especially when there are faults in the system.
Purpose
The faults such as gear spalling fault of the mechanical system or inter-turn short-circuit fault of electrical device will threaten the operation safety of the electric vehicle. Thus, the faulty dynamic analysis for the electric drive system is crucial for avoiding fatal catastrophes.
Method
In this paper, the permeance network motor model with inter-turn short-circuit fault and the dynamic planetary gear transmission model considering spalling faults are proposed, respectively. The electromechanical dynamic model integrating two models mentioned above is employed to acquire the fault characteristics. Then, the vibration characteristics of the electric drive system with and without gear fault or inter-turn fault under the effects of time-varying mesh stiffness, slot effect and magnetic saturation are distinguished at different operation conditions.
Results
The results show that the inter-turn short-circuit fault can trigger conspicuous harmonics within the low frequency domain of the mesh force components, which will predicatively obstruct the detection or diagnosis of the spalling fault. Moreover, the vibration characteristics and vibration mechanism concerning these faults are revealed by the frequency and statistical analysis, which facilitates the condition monitoring for the gear transmission system when the tooth spalling and inter-turn faults are coupled.
Conclusion
The research results bring theoretical reference for the dynamic analysis and vibration-based condition monitoring of the vehicles’ integrated electric drive system.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig8_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig9_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig10_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig11_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig12_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig13_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig14_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig15_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig16_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig17_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig18_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig19_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs42417-022-00770-y/MediaObjects/42417_2022_770_Fig20_HTML.png)
Data availability
The data that support the findings of this study are available within the article or from the corresponding author, upon reasonable request.
References
Liu CZ, Yin XS, Liao YH, Yi YY, Qin DT (2020) Hybrid dynamic modeling and analysis of the electric vehicle planetary gear system. Mech Mach Theory 150:103860
Cherif H, Benakcha A, Laib I, Chehaidia SE, Menacer A, Soudan B, Olabi AG (2020) Early detection and localization of stator inter-turn faults based on discrete wavelet energy ratio and neural networks in induction motor. Energy 212:118684
Gangsar P, Tiwari R (2020) Signal based condition monitoring techniques for fault detection and diagnosis of induction motors: a state-of-the-art review. Mech Syst Signal Pr 144(4):106908
Ning J, Chen Z, Wang Y, Li Y, Zhai W (2021) Vibration feature of spur gear transmission with non-uniform depth distribution of tooth root crack along tooth width. Eng Fail Anal 129:105713
Mirafzal B, Povinelli RJ, Demerdash N (2006) Interturn fault diagnosis in induction motors using the pendulous oscillation phenomenon. IEEE Trans Energy Conver 21:871–882
**ang L, An CH, Zhang Y, Hu AJ (2021) Failure dynamic modelling and analysis of planetary gearbox considering gear tooth spalling. Eng Fail Anal 125:105444
Luo Y, Baddour N, Liang M (2019) Dynamical modeling and experimental validation for tooth pitting and spalling in spur gears. Mech Syst Signal Process 119:155–181
Shi L, Wen J, Pan B, **ang Y, Lin C (2020) Dynamic characteristics of a gear system with double-teeth spalling fault and its fault feature analysis. Appl Sci 10(20):7058
Yang L, Baddour N, Ming L (2018) Dynamical modeling and experimental validation for tooth pitting and spalling in spur gears. Mech Syst Signal Process 119:155–181
Nandi S (2006) Detection of stator faults in induction machines using residual saturation harmonics. IEEE Trans Ind Appl 42(5):1201–1208
Wu Q, Nandi S (2010) Fast single-turn sensitive stator interturn fault detection of induction machines based on positive- and negative-sequence third harmonic components of line currents. IEEE Trans Ind Appl 46(3):974–983
Cruz S, Cardoso A (2004) Diagnosis of stator inter-turn short circuits in DTC induction motor drives. IEEE Trans Ind Appl 40(5):1349–1360
Patel D, Chandorkar M (2014) Modeling and analysis of stator interturn fault location effects on induction machines. IEEE Trans Ind Electron 61(9):4552–4564
Berzoy A, Mohamed A, Mohammed O (2017) Impact of inter-turn short-circuit location on induction machines parameters through FE computations. IEEE Trans Magn 53(6):1–4
Sadeghi R, Samet H, Ghanbari T (2018) Detection of stator short-circuit faults in induction motors using the concept of instantaneous frequency. IEEE Trans Industr Inf 15(8):4506–4515
Forstner G, Kugi A, Kemmetmuller W (2020) A magnetic equivalent circuit based modeling framework for electric motors applied to a PMSM with winding short circuit. IEEE Trans Power Electron 35(11):12285–12295
Eldeeb HH, Zhao H, Mohammed OA (2020) Detection of TTF in induction motor vector drives for EV applications via Ostu’s-based DDWE. IEEE Trans Transp Electr 7(1):114–132
Chen P, **e Y, Hu S (2021) Electromagnetic performance and diagnosis of induction motors with stator interturn fault. IEEE Trans Ind Appl 57(2):1354–1364
El Badaoui M, Antoni J, Guillet F, Daniere J, Velex P (2001) Use of the moving cepstrum integral to detect and localise tooth spalls in gears. Mech Syst Signal Process 15(5):873–885
Jia SX, Howard I (2006) Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations. Mech Syst Signal Process 20(2):332–349
Chaari F, Baccar W, Abbes MS, Haddar M (2008) Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission. Eur J Mech A-Solid 27(4):691–705
Ma R, Chen YS, Cao QJ (2012) Research on dynamics and fault mechanism of spur gear pair with spalling defect. J Sound Vib 331(9):2097–2109
Saxena A, Parey A, Chouksey M (2016) Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects. Eng Fail Anal 70:200–211
Ma H, Li ZW, Feng MJ, Feng RJ, Wen BC (2016) Time-varying mesh stiffness calculation of spur gears with spalling defect. Eng Fail Anal 66:166–176
Elyousfi B, Soualhi A, Medjaher K, Guillet F (2020) New approach for gear mesh stiffness evaluation of spur gears with surface defects. Eng Fail Anal 116(4):104740
Huangfu YF, Chen KK, Ma H, Li X, Han HZ, Zhao ZF (2020) Meshing and dynamic characteristics analysis of spalled gear systems: a theoretical and experimental study. Mech Syst Signal Process 139:106640
Bai W, Qin D, Wang Y, Lim TC (2018) Dynamic characteristics of motor-gear system under load saltations and voltage transients. Mech Syst Signal Process 100:1–16
Bai W, Zeng Q, Wang Y, Feng G, Bao G (2021) Vibration feature evaluation of the motor-gear system with gear tooth crack and rotor bar error. Iran J Sci Technol Trans Mech Eng 45(3):841–850
Asghari B (2012) Experimental validation of a geometrical nonlinear permeance network based real-time induction machine model. IEEE Trans Ind Electron 59(11):4049–4062
Sudhoff SD, Kuhn BT, Corzine KA, Branecky BT (2007) Magnetic equivalent circuit modeling of induction motors. IEEE Trans Energy Conver 22(2):259–270
Bai W, Qin D, Wang Y, Lim TC (2018) Dynamic characteristic of electromechanical coupling effects in motor-gear system. J Sound Vib 2018(423):50–64
Cusido J, Romeral L, Ortega JA, Rosero JA, Espinosa AG (2008) Fault detection in induction machines using power spectral density in wavelet decomposition. IEEE Trans Ind Electron 55(2):633–643
Lashkari N, Poshtan J, Azgomi HF (2015) Simulative and experimental investigation on stator winding turn and unbalanced supply voltage fault diagnosis in induction motors using Artificial Neural Networks. ISA Trans 59:334–342
Acknowledgements
This research was funded by the National Natural Science Foundation of China (Grant No. 52105127), the Natural Science Foundation of Zhejiang Province (Grant No. LGG22E050025), the Open Foundation of State Key Laboratory of Mechanical Transmission, P. R. China (Grant No. SKLMT-MSKFKT-202112). The authors declare no conflict of interest, and, are thankful for the advice and recommendation of the reviewers and editors.
Funding
The National Natural Science Foundation of China (Grant no. 52105127); Natural Science Foundation of Zhejiang Province (Grant no. LGG22E050025); Open Foundation of State Key Laboratory of Mechanical Transmission (Grant no. SKLMT-MSKFKT-202112).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Bai, W., Zhou, X., Wang, Y. et al. Vibration Analysis of the Electric Drive System with Inter-turn Short-Circuit and Gear Spalling Faults. J. Vib. Eng. Technol. 11, 3595–3605 (2023). https://doi.org/10.1007/s42417-022-00770-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42417-022-00770-y