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Journal of ZheJiang University (Engineering Science)  2024, Vol. 58 Issue (5): 1072-1079    DOI: 10.3785/j.issn.1008-973X.2024.05.020
    
Design of axial self-inductive displacement sensor based on LC parallel resonance
Hongzhou TANG(),Jin ZHOU*(),Chaowu JIN,Yuanping XU
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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Abstract  

An axial self-inductive displacement sensor based on LC parallel resonance was proposed in order to meet the development demands for higher precision in magnetic bearings. The sensitivity of the sensor was improved by increasing the rate of change of equivalent inductance in the resonance circuit. The working principle of the sensor was analyzed. The relationship between the design parameters of the sensor and its sensitivity was analyzed through finite element simulation. Then a measurement circuit for the sensor was designed, and the influence of LC parallel resonance on the sensitivity of the sensor was analyzed combined with finite element simulation and numerical simulation. An experimental setup was constructed to test the static performance of the sensor. Results show that the proposed sensor exhibits higher sensitivity and lower linearity compared with traditional displacement sensors.



Key wordsdisplacement sensor      parallel resonance      measurement circuit      sensitivity      magnetic bearing     
Received: 10 May 2023      Published: 26 April 2024
CLC:  TP 212  
Fund:  国家自然科学基金资助项目(52075239, 52275537).
Corresponding Authors: Jin ZHOU     E-mail: hztang@nuaa.edu.cn;zhj@nuaa.edu.cn
Cite this article:

Hongzhou TANG,Jin ZHOU,Chaowu JIN,Yuanping XU. Design of axial self-inductive displacement sensor based on LC parallel resonance. Journal of ZheJiang University (Engineering Science), 2024, 58(5): 1072-1079.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2024.05.020     OR     https://www.zjujournals.com/eng/Y2024/V58/I5/1072


基于LC并联谐振的轴向自感式位移传感器设计

为了满足磁悬浮轴承面向更高精度的发展需求,提出基于LC并联谐振的轴向自感式位移传感器. 通过增大谐振回路的等效电感变化率,提高传感器的灵敏度. 分析传感器的工作原理. 通过有限元仿真,研究传感器设计参数与灵敏度之间的关系. 设计传感器的测量电路,结合有限元仿真和数值仿真,分析LC并联谐振对传感器灵敏度的影响. 搭建实验台,对传感器的静态性能进行测试. 结果表明,相对于传统的位移传感器,提出的传感器具有更高的灵敏度与更低的线性度.


关键词: 位移传感器,  并联谐振,  测量电路,  灵敏度,  磁悬浮轴承 
Fig.1 Structure diagram of axial self-sensing displacement sensor
Fig.2 Magnetic circuit diagram of sensor
Fig.3 Finite element simulation model
参数数值
气隙长度lg/mm0.5
重叠长度lo/mm1
激励频率f/kHz25
匝数N420
磁极高度h/mm8
磁极宽度b/mm5.5
磁极轴向长度d/mm3.5
传感器外径r1/mm44
传感器内径r2/mm29.75
磁极间夹角θ/(°)23
Tab.1 Sensor design parameters
Fig.4 Trend of inductance variation rate with rotor displacement
Fig.5 Trend of sensitivity of inductance variation with air gap length     
Fig.6 Trend of sensitivity of inductance variation with overlap length
Fig.7 Trend of sensitivity of inductance variation with excitation frequency
Fig.8 Schematic diagram of measurement circuit
Fig.9 Topology of modulation circuit
Fig.10 Parallel resonance circuit
Fig.11 Variation of output voltage with displacement at different frequencies for circuit A
Fig.12 Variation of output voltage with displacement at different frequencies for circuit B
Fig.13 Variation of output voltage with displacement at different frequencies for circuit C
f/kHzKo/(V·mm?1)RMSE
51.36386.995×10?3
251.50651.667×10?2
501.53642.175×10?2
751.54992.432×10?2
1001.55832.602×10?2
Tab.2 Sensitivity and RMSE at different excitation frequencies
Fig.14 Output voltage variation characteristics at different resonant frequencies
fres/kHzKo/(V·mm?1)RMSE
190.22791.417×10?3
200.30581.875×10?3
210.43312.618×10?3
220.67594.408×10?3
231.27411.123×10?2
Tab.3 Sensitivity and RMSE at different resonant frequencies
Fig.15 Inductance variation test platform
Fig.16 Trend of inductance variation rate with rotor displacement
Fig.17 Static performance test platform
Fig.18 Output characteristics of sensor
Fig.19 Hysteresis curve
传感器类型Ko/(V·mm?1)eL/%
电涡流传感器[26]1.810.26
全桥径向电感式位移传感器[22]15.60
全桥轴向电感式位移传感器[19]2.630.46
本文所设计的传感器24.490.23
Tab.4 Comparison of sensor designed in this paper with other similar sensors
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