Nonlinear Vibration Analysis of a Rigid Rotating Shaft Supported by the Magnetic Bearing (Influence of the Integral Feedback in the PID Control of the Vertical Shaft)

Inoue, Tsuyoshi; Sugawara, Yasuhiko

doi:10.1299/jsdd.4.471

Cited by 3 publications

(1 citation statement)

References 8 publications

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“…The electromagnet parameters are shown in Table 1. Since F x and F y are nonlinear forces as shown in equation (2), feedback linearization (Inoue and Sugawara, 2010;Chen and Knospe, 2005) is employed to compensate for their nonlinearity. The transfer function and from the force (F x , F y ) to the position (x, y) are defined as P x (s) and P y (s).…”

Section: Dynamics Of the Experimental Systemmentioning

confidence: 99%

Development of optimal controller design method to compensate for vibrations caused by unbalanced force in rotor system based on Nyquist diagram

Yabui

Inoue

2018

Journal of Vibration and Control

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In this paper, an optimal controller design method is proposed to compensate for vibrations caused by unbalanced force in the rotor system. The vibrations caused by unbalanced force are the major root cause of excessive whirling vibration in the rotor system, and it is important to compensate for the vibration to maintain its stable operation. The proposed design method can optimize a performance of the controller based on the vector locus of open loop characteristics on the Nyquist diagram. To verifiy the effectiveness, the proposed design method was employed for three typical active vibration control methods. The experimental results show that the proposed method can design the optimal parameters to compensate for the whirling vibrations of the rotor system.

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Section: Dynamics Of the Experimental Systemmentioning

confidence: 99%

Development of optimal controller design method to compensate for vibrations caused by unbalanced force in rotor system based on Nyquist diagram

Yabui

Inoue

2018

Journal of Vibration and Control

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Nonlinear Analysis for Influence of Parametric Uncertainty on the Stability of Rotor System With Active Magnetic Bearing Using Feedback Linearization

Kato

Inoue

Takagi

et al. 2018

Journal of Computational and Nonlinear Dynamics

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Active magnetic bearing (AMB) is the device to support and control rotating shaft. Feedback linearization is one of the methods to compensate the system nonlinearity, and it is often used in the control of AMB. Some parameters in the electromagnetic force model have often been ignored or their parametric uncertainty from the nominal values has been calibrated; however, their influence on the stability has not been investigated. In this paper, the influence of the parametric uncertainty in the electromagnetic force model on the stability of AMB is investigated. The equilibrium positions and their stability are investigated and clarified analytically. Furthermore, the choice of the parameter value for improving the stability of AMB with feedback linearization is proposed, and its effectiveness is explained analytically. It is shown that the proposed choice of the parameter value also reduces the remained nonlinearity significantly. The validity of theoretical results and proposed choice of the parameter value are confirmed by experiment.

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Configuration angle effect on the control process of an oscillatory rotor in 8-pole active magnetic bearings

Kandil,

Hou,

Sharaf

et al. 2024

MATH

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<abstract> <p>In an active magnetic bearings (AMBs) model, every pair of opposite poles is aligned at an angle with the horizontal axis. In some configurations, there is a pair of poles which is in line with the horizontal axis. In other configurations, the same pair of poles might make a nonzero angle with the horizontal axis. This paper focused on the effect of changing such a configuration angle on the control process of an oscillatory rotor in an 8-pole active magnetic bearings model. Adopting the proportional-derivative (PD) control algorithm, the radial or Cartesian control techniques were applied. It was found that the rotor's oscillation amplitudes were not affected by the change in the configuration angle, even if its rotation speed and eccentricity were varied in the radial control scheme. However, the amplitudes were severely affected by the change in the configuration angle except at a specific angle in the Cartesian control scheme. The approximate modulating amplitudes and phases of the rotor's oscillations were extracted by the method of multiple-scales and a stability condition was tested based on the eigenvalues of the corresponding Jacobian matrix.</p> </abstract>

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Nonlinear Vibration Analysis of a Rigid Rotating Shaft Supported by the Magnetic Bearing (Influence of the Integral Feedback in the PID Control of the Vertical Shaft)

Cited by 3 publications

References 8 publications

Development of optimal controller design method to compensate for vibrations caused by unbalanced force in rotor system based on Nyquist diagram

Development of optimal controller design method to compensate for vibrations caused by unbalanced force in rotor system based on Nyquist diagram

Nonlinear Analysis for Influence of Parametric Uncertainty on the Stability of Rotor System With Active Magnetic Bearing Using Feedback Linearization

Configuration angle effect on the control process of an oscillatory rotor in 8-pole active magnetic bearings

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