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<p>The motive of the present investigation is to perform dynamic analysis to suppress base excitation on a floating body induced by wave loads. A simplified Jeffcott rotor model, incorporating a rigid disc and an active magnetic bearing (AMB) positioned at the shaft center, is employed to replicate the floating body. The excitation force is modeled to represent the wave potential acting on the base. To address base excitation, the study utilizes an AMB, complemented by a Proportional–Integral–Derivative (PID) controller designed to generate and adjust the current supplied to the AMB. A methodology is proposed to concurrently evaluate the controlling parameters of the magnetic bearing, inherent imbalance, material damping, and excitation force. The linear equations of motion (EOMs) are derived using Newton’s second law and subsequently solved employing the fourth-order Runge–Kutta method to obtain the displacement and current responses. The Fast Fourier Transform (FFT) technique is utilized to convert time-domain signals into the frequency domain. The interaction between the rotor stability and base excitation of the rotor system has been numerically investigated through orbit plots. Additionally, a least squares method is developed to analyze the fault characteristics of the AMB-integrated rotor system. The robustness of the proposed methodology is assessed through verification against various levels of noisy signals and modelling error. The accuracy and effectiveness of the estimated parameters are verified by calculating the standard deviation. The maximum standard deviation estimated for the highly over-determined case is less than 5.</p>

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Characteristic Parameters Assessment of AMB and PID Controller Used in Vibration Control of Base-Excited Rotors

  • 期刊论文

  • 发表日期：

    2026年5月11日

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  • Mohit Lal,
  • Kuppa Sampath Kumar,
  • Atul Kumar Gautam

摘要

The motive of the present investigation is to perform dynamic analysis to suppress base excitation on a floating body induced by wave loads. A simplified Jeffcott rotor model, incorporating a rigid disc and an active magnetic bearing (AMB) positioned at the shaft center, is employed to replicate the floating body. The excitation force is modeled to represent the wave potential acting on the base. To address base excitation, the study utilizes an AMB, complemented by a Proportional–Integral–Derivative (PID) controller designed to generate and adjust the current supplied to the AMB. A methodology is proposed to concurrently evaluate the controlling parameters of the magnetic bearing, inherent imbalance, material damping, and excitation force. The linear equations of motion (EOMs) are derived using Newton’s second law and subsequently solved employing the fourth-order Runge–Kutta method to obtain the displacement and current responses. The Fast Fourier Transform (FFT) technique is utilized to convert time-domain signals into the frequency domain. The interaction between the rotor stability and base excitation of the rotor system has been numerically investigated through orbit plots. Additionally, a least squares method is developed to analyze the fault characteristics of the AMB-integrated rotor system. The robustness of the proposed methodology is assessed through verification against various levels of noisy signals and modelling error. The accuracy and effectiveness of the estimated parameters are verified by calculating the standard deviation. The maximum standard deviation estimated for the highly over-determined case is less than 5.