Active Vibration Control of the Flexible Rotor in High Energy Density Magnetically Suspended Motor With Mode Separation Method

Tang, Enqiong; Fang, Jiancheng; Han, Bangcheng

doi:10.1115/1.4029372

Cited by 8 publications

(3 citation statements)

References 36 publications

(42 reference statements)

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“…Mode separation method is proposed to establish the rotor mathematical model and then PID controller is introduced with phase lead compensator and notch filter to successfully make the rotor pass the first bending critical speed in a magnetically suspended motor. 12 In Fang et al 13 and Tang et al, 14 the optimal damping and optimal phase angle are derived in detail based on the order reduced rotor model with modal truncation, and the design process of the optimal phase compensator is introduced in detail. In Wei and So¨ffker, 15 multiobjective genetic algorithm is employed to optimize the parameters of PID controller with commonly used filters to suppress the resonance vibration of the flexible rotor, which saves much hand-tuning time.…”

Section: Introductionmentioning

confidence: 99%

Design, modeling, and robust control of the flexible rotor to pass the first bending critical speed with active magnetic bearing

Ran

2018

Advances in Mechanical Engineering

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Recently, magnetic bearings have been applied to many rotating machines such as turbo-molecular pumps, cooling gas compressor, flywheel energy storage systems. And high-power density is the future development trend of these machines, which demands that the rotor characterizes slender and high rotating speed and operates above the critical speeds. However, it is a big challenge for a flexible rotor to pass the bending critical speeds and operate above the critical speeds steadily and reliably. Based on above reasons, this article presented the design, modeling, and analysis framework of a flexible rotor test rig with active magnetic bearing (AMB). Special attention was paid to the flexible rotor dynamic model development, dynamic analysis, and model-based robust control design. First, the main structure features were illustrated in detail, including the key dimensions and parameters of the AMB components and rotor. Then models of components including power amplifier and displacement sensor were developed. The finite element method based on Timoshenko beam theory was applied to the rotor dynamics model. The dynamic analysis of the rotor is the foundation of the controller design. Hence, modal analysis had been done, obtaining rotor dynamic properties via synthesis of natural frequency, mode shapes, and Campbell plots. Reduced order model was obtained for controller design convenience. A robust H N controller was designed based on the system model and controller performance was validated with numerical simulation. The results indicate that the controller has good vibration suppression performance and makes the flexible rotor pass the first bending critical speed.

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Section: Introductionmentioning

confidence: 99%

Design, modeling, and robust control of the flexible rotor to pass the first bending critical speed with active magnetic bearing

Ran

2018

Advances in Mechanical Engineering

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“…The design of the robust controller is based on the system model, and the order of the controller considering high order modes is high, which decreases the practicability of the controller in engineering. Tang et al (2015) present the mode separation method for controlling a flexible rotor, which avoids the response of second bending mode. Nevertheless, this method relies heavily on the accurate mode shape and does not consider the gyroscopic effects.…”

Section: Introductionmentioning

confidence: 99%

Optimal phase compensation for a rotor-AMB system considering interface contact

Yang

Zhou

Wang

et al. 2023

Journal of Vibration and Control

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Rotor-Active magnetic bearing (rotor-AMB) systems offer significant advantages in power consumption and are increasingly being applied in fluid machinery. However, in such machinery, the impeller and the rotor are commonly connected by bolt fastening. Once a certain pre-tightening force is applied to the bolted connection and the interface contact between the rotor and the impeller is formed, the flexible modal vibration will be excited when the rotor is levitated. The conventional Proportional-Integral-Derivative (PID) controller is limited in this vibration suppression and it is essential to increase the damping at bending mode to inhibit vibration. However, the calculation of the optimal phase compensated is based on the rotor-AMB model considering interface contact. In this work, the effect of the interface contact is equivalent to massless spring units, and the disturbance generated by spring units is acted upon the mechatronic system in the way of positive feedback. The detailed description of the transfer function from the disturbance to rotor deformation at fourth bending mode is obtained by theoretical model and system identification. The optimal phase of the system needed to inhibit the disturbance is determined by minimizing the gain of the transfer function at fourth bending mode. A combination of PID control and phase compensation is implemented in the experiment. The results show that the optimal phase is 50° as the calculation and the optimal phase compensation control can sufficiently inhibit the modal vibration.

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“…Tang [13] used a phase lead compensator and an optimal damping compensator for the 315 kW maglev motor, and in the experiment, the minimum rotor resonance response was obtained when crossing the first bending critical speed, and the maximum damping was provided when the power amplifier current was minimum. Tang [14] also proposed a mode separation method for the 100 kW maglev motor, which separated the first and second bending modes, and reconstructed the displacement near the first bending mode. The critical speed was successfully passed through with a small current in the experiment.…”

Section: Introductionmentioning

confidence: 99%

Critical Vibration and Control of the Maglev High-Speed Motor Based on μ–Synthesis Control

Yang

et al. 2022

Sensors

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The Maglev motor has the characteristics of high-speed and high-power density, and is widely used in compressors, molecular pumps and other high-speed rotating machinery. With the requirements of miniaturization and high speed of rotating machinery, the rotor of the maglev motor will operate above the bending critical speed, and the critical vibration control of the flexible rotor is facing challenges. In order to solve the problem of the critical vibration suppression of the maglev high-speed motor, the system model of the maglev motor is established, the rotordynamics of the flexible rotor are analyzed and the rotor model is modal truncated to reduce the order. Then, the μ–controller is designed, and the weighting functions are designed to deal with the modal uncertainty. Finally, an experimental platform of the maglev motor with the flexible rotor is built to verify the effect of the μ–control on the suppression of the critical vibration of the maglev rotor.

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Active Vibration Control of the Flexible Rotor in High Energy Density Magnetically Suspended Motor With Mode Separation Method

Cited by 8 publications

References 36 publications

Design, modeling, and robust control of the flexible rotor to pass the first bending critical speed with active magnetic bearing

Design, modeling, and robust control of the flexible rotor to pass the first bending critical speed with active magnetic bearing

Optimal phase compensation for a rotor-AMB system considering interface contact

Critical Vibration and Control of the Maglev High-Speed Motor Based on μ–Synthesis Control

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