Improved active disturbance rejection controller for rotor system of magnetic levitation turbomachinery

Tongtong Yu; Zhizhou Zhang; Yang Li; Weilong Zhao; Jinchu Zhang; Tongtong Yu; Zhizhou Zhang; Yang Li; Weilong Zhao; Jinchu Zhang

doi:10.3934/era.2023080

Electronic Research Archive

2023, Volume 31, Issue 3: 1570-1586. doi: 10.3934/era.2023080

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Improved active disturbance rejection controller for rotor system of magnetic levitation turbomachinery

School of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, China

Received: 21 November 2022 Revised: 27 December 2022 Accepted: 03 January 2023 Published: 31 January 2023

The rotor of the magnetic suspension turbomachinery is supported by the magnetic suspension bearing without contact and mechanical friction, which directly drives the high-efficiency fluid impeller. It has the advantages of high efficiency, low noise, less fault and no lubrication. However, the system often has some unknown mutation, time variation, load perturbation and other un-certainties when working, and the traditional Proportion Integration Differentiation (PID) control strategy has great limitations to overcome the above disturbances. Therefore, this paper firstly establishes a mathematical model of the rotor of magnetic levitation turbomachinery. Then, a linear active disturbance rejection controller (LADRC) is presented, which can not only improve the above problems of PID control, but also avoid the complex parameter tuning process of traditional nonlinear active disturbance rejection control (ADRC). However, LADRC is easy to induce the overshoot of the system and cannot filter the given signal. On this basis, an improved LADRC with a fast-tracking differentiator (FTD) is proposed to arrange the transition process of input signals. The simulation results show that compared with the traditional PID controller and single LADRC, the improved linear active disturbance rejection control method with fast tracking differentiator (FTD-LADRC) can better suppress some unknown abrupt changes, time variation and other uncertainties of the electromagnetic bearing-rotor system. At the same time, the overshoot of the system is smaller, and the parameters are easy to be set, which is convenient for engineering application.
- magnetic levitation turbomachinery,
- rotor system,
- tracking differentiator,
- improved LADRC,
- FTD-LADRC,
- anti-disturbance performance
Citation: Tongtong Yu, Zhizhou Zhang, Yang Li, Weilong Zhao, Jinchu Zhang. Improved active disturbance rejection controller for rotor system of magnetic levitation turbomachinery[J]. Electronic Research Archive, 2023, 31(3): 1570-1586. doi: 10.3934/era.2023080

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Abstract

The rotor of the magnetic suspension turbomachinery is supported by the magnetic suspension bearing without contact and mechanical friction, which directly drives the high-efficiency fluid impeller. It has the advantages of high efficiency, low noise, less fault and no lubrication. However, the system often has some unknown mutation, time variation, load perturbation and other un-certainties when working, and the traditional Proportion Integration Differentiation (PID) control strategy has great limitations to overcome the above disturbances. Therefore, this paper firstly establishes a mathematical model of the rotor of magnetic levitation turbomachinery. Then, a linear active disturbance rejection controller (LADRC) is presented, which can not only improve the above problems of PID control, but also avoid the complex parameter tuning process of traditional nonlinear active disturbance rejection control (ADRC). However, LADRC is easy to induce the overshoot of the system and cannot filter the given signal. On this basis, an improved LADRC with a fast-tracking differentiator (FTD) is proposed to arrange the transition process of input signals. The simulation results show that compared with the traditional PID controller and single LADRC, the improved linear active disturbance rejection control method with fast tracking differentiator (FTD-LADRC) can better suppress some unknown abrupt changes, time variation and other uncertainties of the electromagnetic bearing-rotor system. At the same time, the overshoot of the system is smaller, and the parameters are easy to be set, which is convenient for engineering application.

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