期刊
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
卷 68, 期 3, 页码 2575-2586出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2020.2973894
关键词
Gears; Integrated circuit modeling; Stators; Induction motors; Rotors; Circuit faults; Analytical models; Induction motor; localized tooth defect; magnetic equivalent circuit (MEC); planetary gearbox; stator current model; torsional response
资金
- National Natural Science Foundation of China [11872222]
- State Key Laboratory of Tribology [SKLT2019B09]
This article conducts stator current modeling for defective planetary gearboxes based on MEC, establishing a torsional model and presenting an iterative numerical integration method to solve the nonlinear issues. Verification is done through finite element analysis and dynamic tests.
Stator current modeling for defective planetary gearboxes based on magnetic equivalent circuits (MEC) is conducted in this article. A lumped parameter torsional model of the motor-planetary gearbox coupling system is established to obtain the nonlinear time-variable torsional response of the rotor numerically. An MEC model of an induction motor is established by connecting the equivalent flux tubes with nodes. After considering the time-variable rotor torsional response, the nonlinear magnetic field intensity of the iron material, and magnetic saturation, an iterative numerical integration method is presented to solve the MEC model. Both a finite element analysis and dynamic tests on a planetary gearbox driven by an induction motor are carried out for verification. Based on these, the fault characteristic components in the stator current spectra are, respectively, identified when the tooth chipping defect appears at sun/planet/ring gears. Fault-related frequencies are essentially represented by the combinations between the meshing frequency, sun/planet/ring gear fault passing frequency, its harmonics, and the power supply frequency. Owing to the electromechanical coupling effect, high-order harmonics of the power supply frequency also participate in the fault-related frequencies of the planet and ring gears. By quantitatively analyzing the influence of chipping size on the amplitudes of fault characteristic frequencies, suitable spectra for planetary gearbox condition monitoring are recommended.
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