Rotor dynamics of impeller in a magnetic suspension bearingless centrifugal pump

doi:10.3785/j.issn.1008-973X.2023.08.020

Journal of ZheJiang University (Engineering Science)

2023, Vol. 57

Issue (8): 1680-1688 DOI: 10.3785/j.issn.1008-973X.2023.08.020

Rotor dynamics of impeller in a magnetic suspension bearingless centrifugal pump

Xiao-dan CHEN(

),Ao WU,Rui-jie ZHAO*(

),En-xiang XU

Fluid Machinery Engineering Technology Research Center, Jiangsu University, Zhenjiang 212013, China

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Abstract

The effect of flow-induced force on the stability of impeller rotor in a magnetic suspension bearingless centrifugal pump was studied in order to achieve stable suspension performance at high rotation speed. For the motor system, a mathematical model based on the principle of virtual displacement method was developed to calculate the magnetic suspension force of the motor when the rotor was eccentric, and the finite element method (FEM) was used to verify the proposed model. Meanwhile, for the centrifugal pump system, the flow field was simulated based on the computational fluid dynamics (CFD) method. The hydralic excitation force characteristics of the impeller in different axial and radial hovering positions were studied, and the operating characteristics of the impeller at different speed conditions were also explored. Finally, combined with vector control methods in modern control theory, the dynamic stable suspension of the impeller in magnetic suspension bearingless centrifugal pump was conducted on the Matlab/Simulink software platform. Results show that the radial vibration of the impeller rotor was controlled below 250 μm, which was far smaller than the 4 mm of air gap between the rotor and stator when the motor rotated at 0~6000 r/min with the designed conditions of volume flow rate of 14 m³/h and head of 20 m. It is indicated that the magnetic suspension bearingless centrifugal pump system can achieve high-reliability suspension operation with high reliability.

Key words： bearingless centrifugal pump magnetic suspension finite element method (FEM) computational fluid dynamics(CFD) flow-inducted vibration vector control

Received: 12 October 2022 Published: 31 August 2023

CLC:	TH 311
	TM 351

Fund: 国家自然科学基金资助项目(52176038)；江苏省重点研发计划资助项目(BE2021073)

Corresponding Authors: Rui-jie ZHAO E-mail: 2212011003@stmail.ujs.edu.cn;rjzhao@ujs.edu.cn

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Cite this article:

Xiao-dan CHEN,Ao WU,Rui-jie ZHAO,En-xiang XU. Rotor dynamics of impeller in a magnetic suspension bearingless centrifugal pump. Journal of ZheJiang University (Engineering Science), 2023, 57(8): 1680-1688.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2023.08.020 OR https://www.zjujournals.com/eng/Y2023/V57/I8/1680

磁悬浮无轴离心泵叶轮转子动力学特性

为了实现磁悬浮无轴离心泵在高速工况下的稳定悬浮，探究离心泵水力激振力对叶轮转子悬浮特性的影响. 对于电机系统，采用虚位移方法构建电机处于转子偏心状态下的悬浮力数学模型并采用有限元法(FEM)进行验证；对于离心泵系统，应用计算流体力学(CFD)方法进行离心泵内部流场数值模拟，重点探究叶轮处于不同轴向、径向悬停位置下的水力激振力特性，同时探究叶轮在不同转速工况下的运行特性；结合现代控制理论中的矢量控制策略，在Matlab/Simulink环境下实现磁悬浮无轴离心泵叶轮转子的动态稳定悬浮. 研究结果表明：在体积流量14 m³/h和扬程20 m的工况下，当电机在转速0~6000 r/min运行时，叶轮转子径向偏移小于250 μm，远小于转子和定子间气隙4 mm，可见所建立的磁悬浮无轴离心泵系统能实现高可靠性的悬浮运行.

关键词： 无轴离心泵, 磁悬浮, 有限元法(FEM), 计算流体力学(CFD), 水力激振, 矢量控制

Fig.1 Structure schematic of magnetic suspension bearingless centrifugal pump

Fig.2 Principle of generation of radial suspension force

Fig.3 Controlling system in magnetic suspension bearingless centrifugal pump system

Tab.1 Design parameters of centrifugal pump structures

Fig.4 Hydraulic model and mesh modeling of centrifugal pumps

Fig.5 Grid independence study

Tab.2 Design parameters of motor structure

Fig.6 Distribution of magnetic fields in BPMSM

Tab.3 Comparison of total suspension force between finite element simulation and theoretical calculation

Fig.7 Comparison of component suspension force between finite element simulation and theoretical calculation

Fig.8 Schematic of impeller offset direction

Fig.9 Distributions of internal flow in centrifugal pump

Fig.10 Efficiency and head lift of modeling pump

Fig.11 Time-domain distribution of radial flow-induced forces F_r of impeller

Fig.13 Time-frequency domain distribution of radial flow-induced force F_y of impeller

Fig.12 Time-frequency domain distribution of radial flow-induced force F_x of impeller

Fig.14 Distribution of efficiency and radial force at different rotation speeds

Fig.15 Time histories of torque and rotation speed of impeller

Fig.16 Simulation results of radial displacement of system with centrifugal pump not loaded

Fig.17 Simulation results of radial displacement of system with centrifugal pump loaded


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