Nonlinear dynamic characteristics analysis of active magnetic bearing system based on cell mapping method with a case study

Sun, Zhe; Zhang, Xiaoshen; Fan, Tianpeng; Yan, Xunshi; Zhao, Jingjing; Zhao, Lei; Shi, Zhengang

doi:10.1016/j.ymssp.2018.07.030

Cited by 20 publications

(5 citation statements)

References 40 publications

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“…Wojna et al [44] gave the numerical and experimental study of a double physical pendulum with the magnetic interaction. Sun et al [45] investigated the nonlinear dynamic characteristics of the active magnetic bearing system based on the cell-mapping method with a case study.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Zhang

2020

Shock and Vibration

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The asymptotic perturbation method is used to analyze the nonlinear vibrations and chaotic dynamics of a rotor-active magnetic bearing (AMB) system with 16-pole legs and the time-varying stiffness. Based on the expressions of the electromagnetic force resultants, the influences of some parameters, such as the cross-sectional area Aα of one electromagnet and the number N of windings in each electromagnet coil, on the electromagnetic force resultants are considered for the rotor-AMB system with 16-pole legs. Based on the Newton law, the governing equation of motion for the rotor-AMB system with 16-pole legs is obtained and expressed as a two-degree-of-freedom system with the parametric excitation and the quadratic and cubic nonlinearities. According to the asymptotic perturbation method, the four-dimensional averaged equation of the rotor-AMB system is derived under the case of 1 : 1 internal resonance and 1 : 2 subharmonic resonances. Then, the frequency-response curves are employed to study the steady-state solutions of the modal amplitudes. From the analysis of the frequency responses, both the hardening-type nonlinearity and the softening-type nonlinearity are observed in the rotor-AMB system. Based on the numerical solutions of the averaged equation, the changed procedure of the nonlinear dynamic behaviors of the rotor-AMB system with the control parameter is described by the bifurcation diagram. From the numerical simulations, the periodic, quasiperiodic, and chaotic motions are observed in the rotor-active magnetic bearing (AMB) system with 16-pole legs, the time-varying stiffness, and the quadratic and cubic nonlinearities.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Zhang

2020

Shock and Vibration

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“…AMB can also reduce the excessive vibration of a high-speed rotor system at the critical speed, which helps the motor run over the critical speed stably. These remarkable advantages enable the application of AMB to many fields, such as high speed motors, centrifugal compressors, high-speed flywheels for storage energy, molecular pumps and turbines [23,24,25].…”

Section: Active Magnetic Bearingmentioning

confidence: 99%

Fault Diagnosis of Active Magnetic Bearing–Rotor System via Vibration Images

Yan

Sun

Zhao

et al. 2019

Sensors

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As important sources in fault diagnosis of rotary machinery, vibration signals are usually processed in the time or frequency domain as features to distinguish different classes of faults. However, these kinds of processing methods always ignore the corresponding relations among multiple signals, resulting in information loss. In this paper, a new fault description strategy named vibration image is proposed, based on which three new kinds of features are extracted, containing coupling information between different channels of vibration signals. Additionally, a new feature fusion method called two-layer AdaBoost is designed to train the fault recognition model, which avoids overfitting when the dataset is not large enough. Features based on vibration images combined with two-layer AdaBoost are adopted to diagnose faults of rotary machinery. Taking an active magnetic bearing-rotor system as the experimental platform, a dataset with four classes of faults is collected and our algorithm achieves good performance. Meanwhile, features based on vibration images and two-layer AdaBoost are both proved to be efficient separately.

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“…Due to these advantages, * Author to whom any correspondence should be addressed. nowadays, the AMB system plays a pivotal role in highspeed rotating machineries, such as high-speed motors, energy storage flywheels, centrifuges, and momentum wheels of spacecraft [4,5].…”

Section: Introductionmentioning

confidence: 99%

Synchronous disturbance suppression of active magnetic bearing rotor systems using variable period adaptive control algorithm

Bian,

Shi,

Sun

et al. 2023

Meas. Sci. Technol.

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This paper aims to investigate the issue of suppressing synchronous vibration in active magnetic bearing (AMB) systems. The rotor mass imbalance is a challenging problem for the AMB system, which will cause synchronous vibration and severely aﬀect the system stability and safety. However, existing algorithms based on the iterative feed-forward control strategy ﬁnd it diﬃcult to simultaneously ensure system’s stability and competent convergence performance. They struggle to maintain tolerable robustness within the system operating bandwidth. This paper proposes a variable period adaptive control algorithm to address these challenges. The overall control scheme can achieve current and displacement elimination separately by switching control structures and is applicable to variable speed conditions. This algorithm can adaptively adjust the iteration period based on rotational speed to ensure both splendid convergence performance and system dynamic performance. Furthermore, this work employs the Lyapunov method to analyze the algorithm’s asymptotic stability and provides a lookup table for algorithm parameters. This could signiﬁcantly enhance the robustness and stability of the algorithm within the system operating bandwidth. Finally, this methodology has proven to be eﬀective and superior in simulations and experiments.

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Nonlinear dynamic characteristics analysis of active magnetic bearing system based on cell mapping method with a case study

Cited by 20 publications

References 40 publications

Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Fault Diagnosis of Active Magnetic Bearing–Rotor System via Vibration Images

Synchronous disturbance suppression of active magnetic bearing rotor systems using variable period adaptive control algorithm

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