Multi-frequency Compensation for Active Magnetic Bearing-Flexible Rotor System Based on Adaptive Least Mean Square Algorithm with a Phase Shift

doi:10.3901/JME.2021.17.110

Abstract

Abstract: For multi-frequency vibration in active magnetic bearing (AMB)-flexible rotor system, a modified notch filter based on adaptive least mean square (LMS) algorithm with a phase shift is proposed to achieve multi-frequency compensation. First, the dynamic model of the AMB-flexible rotor system is built, and the closed-loop system transfer function for the feedback compensation control is obtained; then, the pulse transfer function for the notch filter based on the phase shift adaptive LMS algorithm is obtained, which is used to analyze the influence of different values of the phase shift angle on the frequency characteristics of phase shift adaptive LMS notch filter and the stability of the closed-loop system. By analyzing the system root locus in different rotational speed regions, the value of phase shift angle is obtained, which is able to keep the closed loop system stable in the full rotational speed region. Finally, the numerical simulations under unbalance excitation and multi-frequency excitation are carried out respectively to show the possibility of the notch filter based on phase shift adaptive LMS algorithm to suppress the multi-frequency vibration of the AMB-flexible rotor system.

Key words: multi-frequency vibration, flexible rotor, least mean square algorithm, phase shift, vibration control, active magnetic bearing

CLC Number:

TG156

WANG Xiaobo, ZHU Changsheng. Multi-frequency Compensation for Active Magnetic Bearing-Flexible Rotor System Based on Adaptive Least Mean Square Algorithm with a Phase Shift[J]. Journal of Mechanical Engineering, 2021, 57(17): 110-119.

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