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Research on tuning method of PID controller parameter for hybrid magnetic bearing

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Abstract

The PID controller parameters directly affect the dynamic characteristics of the hybrid magnetic bearing (HMB) system. However, currently, control parameter tuning mainly depends on experience and lacks the support of design theory. In this paper, the control parameter tuning method was studied to solve this problem. First, the expressions of equivalent stiffness and equivalent dam** of the system were established, and the effects of each control parameter on the support characteristics of the system were analyzed separately. Then, based on the dynamic response results of the system, the tuning principles of control parameters were obtained: the proportional gain and derivative gain value ensure that the system works with “natural stiffness” and “natural dam**”. The integral gain and time constant value ensure a positive dam** ratio near the nature frequency. Finally, the method of this paper was applied to complete the PID controller design. The simulation and experiment results show that the rotor can maintain stable operation under different frequency excitations. The results are in good agreement with the theoretical analysis results. The conclusion of this paper provides helpful guidance for tuning control parameters and speeding up the development process of magnetic bearing systems.

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Acknowledgments

This work is supported by the Defense Foundation Enhancement Program (No. 2020-XXJQ-ZD-20X) and Independent research projects of the Naval University of Engineering (No. 202250F010).

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Correspondence to Yan Li.

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**chang Han received the B. Eng. in Process Equipment and Control Engineering from Bei**g University of Chemical Technology, in 2018. He is currently pursuing the Ph.D. in Power Machinery and Engineering with Bei**g University of Chemical Technology. His main research interests include fault diagnosis and vibration active control technology of rotating machinery.

Yan Li received the Ph.D. in power engineering from Naval University of Engineering, Wuhan, 430033, China, in 2015. She is currently a Professor of Naval University of Engineering. Her main research interests include vibration and noise control of ship machinery.

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Han, J., Li, Y., Lin, Y. et al. Research on tuning method of PID controller parameter for hybrid magnetic bearing. J Mech Sci Technol 38, 931–941 (2024). https://doi.org/10.1007/s12206-024-0138-5

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  • DOI: https://doi.org/10.1007/s12206-024-0138-5

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