Analysis of electromechanical coupling modal and dynamic response characteristics of permanent magnet gear transmission system considering variable load condition

Abstract

In order to study the influence of electromagnetic (EM) effect and load change on the modal characteristics and dynamic response of gear transmission system driven by permanent magnet synchronous motor (PMSM), a electromechanical coupling dynamic model is established. The composite air gap permeability coefficient is introduced, and the formula of permanent magnet flux linkage under the influence of space harmonic and cogging effect is derived. The variation laws of gear meshing stiffness and bearing support stiffness under the influence of load change are simulated and analyzed. The natural frequency and vibration modal under different load, flux linkage and PI controller gain are revealed. On this basis, the influence of EM effect and load change on the resonance domain is analyzed through frequency sweep analysis and time domain simulation. Results indicate that the 1st order natural frequency and resonance amplitude will increase with the load, and the influence of PMSM EM excitation will gradually dominate. The increase of the flux linkage and speed loop controller gain K_pω will reduce the 1st order natural frequency. When K_pω=123, a new mode appears, and there is a modal transition between the new mode and mode 1 when K_pω=161. The research results can provide theoretical guidance for improving the transmission performance and structure optimization design of the permanent magnet gear transmission system.

Keywords:

• Gear transmission system
• PMSM
• EM effect
• modal
• dynamic response

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (Grant No. 52374162 52375250), and the China Postdoctoral Science Foundation (No. 2023M733155).

Notes on contributors

Song Jiang

Song Jiang was born in 1995. He received the B.E. and Ph.D. degree from the School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, China, in 2017 and 2022. He is now a lecturer in the School of Mechanical Engineering, Jiangsu University. His research interests include dynamics and reliability studies of permanent magnet transmission system.

Wei Li

Wei Li was born in 1964. He received the M.E. and Ph.D. degrees from the China University of Mining and Technology, Xuzhou, China, in 1989 and 2004, respectively. He is now a professor at School of Mechatronic Engineering with the China University of Mining and Technology. His research interests include structure transmission system structure design, electromechanical coupling dynamics, coordinated positioning of moving targets, etc.

En Lu

En Lu was born in 1990. He received the B.E. and Ph.D. degree from the School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, China, in 2013 and 2018, respectively. He is now an associate researcher at School of Agricultural Engineering with the Jiangsu University. His research interests include permanent magnet motor speed control and road trajectory planning.

Lianchao Sheng

Lianchao Sheng was born in 1990. He received the B.E. and Ph.D. degree from the School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, China, in 2014 and 2019, respectively. He is now an associate professor at School of Mechatronic Engineering with the Jiangsu Normal University. His research interests include optimization design and nonlinear dynamics analysis and control of gear transmission system.