<p>This paper proposes a hybrid vibration suppression strategy that fuses a dual-parameter tunable notch filter with a sigmoid particle swarm optimization (S-PSO) algorithm, aiming to address the challenge of unbalanced vibration suppression in the active magnetic bearings (AMBs)-rigid rotor system. Firstly, a four-degree-of-freedom dynamic model of the AMB-rigid rotor system is established to quantify the gyroscopic effect and unbalanced excitation. Secondly, a dual-parameter notch filter is designed. By independently adjusting the center frequency <i>ω</i><sub>0</sub> and damping coefficient <i>η</i>, this filter dynamically eliminates the synchronous vibration components in the displacement feedback signal, achieving zero-gain characteristics in the target frequency band. Concurrently, the S-PSO algorithm adaptively optimizes controller parameters based on real-time fitness feedback, mitigating the premature convergence issue of standard PSO. Finally, the effectiveness of the proposed strategy is validated through both simulations and experiments. Simulation results demonstrate that, at the rigid-body critical speed, the peak values of displacement, current, and electromagnetic force are reduced by 14.3–36.4%, respectively. The acceleration experiment verifies that the amplitude of voltage fluctuations across all four degrees of freedom remains below 1.20&#xa0;V, while the control current stabilizes below 0.2 A. This achievement ensures robust stability across a wide rotational speed range from 0 to 24,000&#xa0;rpm.</p>

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Hybrid vibration control strategy for AMBs-rigid rotor system with double-parameter notch filter and S-PSO

  • Lei Gong,
  • Junsong Tao,
  • Baoquan Liu,
  • Jingwen Chen

摘要

This paper proposes a hybrid vibration suppression strategy that fuses a dual-parameter tunable notch filter with a sigmoid particle swarm optimization (S-PSO) algorithm, aiming to address the challenge of unbalanced vibration suppression in the active magnetic bearings (AMBs)-rigid rotor system. Firstly, a four-degree-of-freedom dynamic model of the AMB-rigid rotor system is established to quantify the gyroscopic effect and unbalanced excitation. Secondly, a dual-parameter notch filter is designed. By independently adjusting the center frequency ω0 and damping coefficient η, this filter dynamically eliminates the synchronous vibration components in the displacement feedback signal, achieving zero-gain characteristics in the target frequency band. Concurrently, the S-PSO algorithm adaptively optimizes controller parameters based on real-time fitness feedback, mitigating the premature convergence issue of standard PSO. Finally, the effectiveness of the proposed strategy is validated through both simulations and experiments. Simulation results demonstrate that, at the rigid-body critical speed, the peak values of displacement, current, and electromagnetic force are reduced by 14.3–36.4%, respectively. The acceleration experiment verifies that the amplitude of voltage fluctuations across all four degrees of freedom remains below 1.20 V, while the control current stabilizes below 0.2 A. This achievement ensures robust stability across a wide rotational speed range from 0 to 24,000 rpm.