• Optics and Precision Engineering
  • Vol. 32, Issue 20, 3026 (2024)
Jisen YANG1,2,3,*, Fu XIU1,3, Jing ZHANG4, Junsong YUAN1,3, and Xiaolong ZHANG1,3
Author Affiliations
  • 1Engineering Research Center of Mechanical Testing Technology and Equipment, Ministry of Education, Chongqing University of Technology, Chongqing400054, China
  • 2Key Laboratory of Advanced Manufacturing Technology for Automobile Parts, Ministry of Education, Chongqing400054, China
  • 3Chongqing Key Laboratory of Time-Grating Sensing and Advanced Testing Technology, Chongqing400054, China
  • 4School of Electrical and Electronic Engineering, Chongqing University of Technology, Chongqing0005, China
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    DOI: 10.37188/OPE.20243220.3026 Cite this Article
    Jisen YANG, Fu XIU, Jing ZHANG, Junsong YUAN, Xiaolong ZHANG. Absolute planar two-dimensional time-grating displacement sensor with multi-frequency magnetic field coupling[J]. Optics and Precision Engineering, 2024, 32(20): 3026 Copy Citation Text show less
    Mathematical model of magnetic field distribution of single pitch rectangular coil
    Fig. 1. Mathematical model of magnetic field distribution of single pitch rectangular coil
    Numerical simulation of magnetic field distribution of a single pitch rectangular coil
    Fig. 2. Numerical simulation of magnetic field distribution of a single pitch rectangular coil
    Magnetic field distribution of different coil widths
    Fig. 3. Magnetic field distribution of different coil widths
    Schematic diagram of incremental two-dimensional time-gating sensor
    Fig. 4. Schematic diagram of incremental two-dimensional time-gating sensor
    Schematic diagram of winding and arrangement of incremental two-dimensional time-grating coils
    Fig. 5. Schematic diagram of winding and arrangement of incremental two-dimensional time-grating coils
    Numerical simulation diagram of magnetic field distribution of double pitch double excitation coil
    Fig. 6. Numerical simulation diagram of magnetic field distribution of double pitch double excitation coil
    Incremental two-dimensional time-graing signal processing block diagram
    Fig. 7. Incremental two-dimensional time-graing signal processing block diagram
    Absolute two-dimensional time-grating displacement sensor measurement model
    Fig. 8. Absolute two-dimensional time-grating displacement sensor measurement model
    Schematic diagram of winding and arrangement of absolute two-dimensional time-grating coils
    Fig. 9. Schematic diagram of winding and arrangement of absolute two-dimensional time-grating coils
    Two-dimensional time-sharing incentive drive scheme flow chart
    Fig. 10. Two-dimensional time-sharing incentive drive scheme flow chart
    Two-dimensional absolute position solution block diagram
    Fig. 11. Two-dimensional absolute position solution block diagram
    Flow chart of solving the absolute position of the two dimensional time-grating for the polar prime
    Fig. 12. Flow chart of solving the absolute position of the two dimensional time-grating for the polar prime
    Induced traveling wave signal and counting diagram
    Fig. 13. Induced traveling wave signal and counting diagram
    Induction travelling wave signal graph
    Fig. 14. Induction travelling wave signal graph
    Simulation error curves for different installation gaps
    Fig. 15. Simulation error curves for different installation gaps
    Simulation error spectra of different installation gaps
    Fig. 16. Simulation error spectra of different installation gaps
    Absolute position solution simulation traveling wave signal diagram
    Fig. 17. Absolute position solution simulation traveling wave signal diagram
    Simulation validation of two-dimension absolute position solving scheme
    Fig. 18. Simulation validation of two-dimension absolute position solving scheme
    Sensor prototyping
    Fig. 19. Sensor prototyping
    Two-dimensional precision experimental platform
    Fig. 20. Two-dimensional precision experimental platform
    Sensor raw amplified sensing signal
    Fig. 21. Sensor raw amplified sensing signal
    Experimental accuracy in polar
    Fig. 22. Experimental accuracy in polar
    Two different installation states
    Fig. 23. Two different installation states
    Sensor stability testing
    Fig. 24. Sensor stability testing
    Raw error curve in the effective measuring range
    Fig. 25. Raw error curve in the effective measuring range
    [in Chinese]
    Fig. 26. [in Chinese]
    X/Yx2/y2X/YQx/Qy
    0*L/N0[0*L/(M*N)-δ,0*L/(M*N)+δ]0
    1*L/N0[5*L/(M*N)-δ,5*L/(M*N)+δ]1
    2*L/N0[3*L/(M*N)-δ,3*L/(M*N)+δ]2
    3*L/N0[1*L/(M*N)-δ,1*L/(M*N)+δ]3
    4*L/N0[6*L/(M*N)-δ,6*L/(M*N)+δ]4
    5*L/N0[4*L/(M*N)-δ,4*L/(M*N)+δ]5
    6*L/N0[2*L/(M*N)-δ,2*L/(M*N)+δ]6
    Table 1. Precision counter polar meter
    仿真参数参数值
    激励电流幅值/A0.1
    X激励电流频率/kHz500
    Y激励电流频率/MHz1
    粗机激励线圈节距W1/mm10.5
    精机激励线圈节距W2/mm8
    激励线圈高度/mm60
    激励线圈直径/mm0.1
    激励线圈阻抗/MΩ1
    激励线圈匝数/匝1
    粗机感应线圈宽度/mm21
    粗机感应线圈高度/mm10.4
    精机感应线圈宽度/mm16
    精机感应线圈高度/mm7.9
    感应线圈直径/mm0.1
    感应线圈阻抗/MΩ1
    感应线圈匝数/匝1
    基体材料Steel_1008
    线圈材料Copper
    安装间隙/mm0.8
    粗测通道仿真距离/mm10.5
    粗测通道仿真步长/mm0.25
    精测通道仿真距离/mm8
    精测通道仿真步长/mm0.2
    X方向仿真时长/μs2
    X方向仿真时间步长/μs0.05
    Y方向仿真时长/μs1
    Y方向仿真时间步长/μs0.025
    运动方向y=x
    Table 2. Sensor simulation parameter setting
    安装间隙/mm精测通道误差峰峰值主要误差频次
    24
    0.6X方向幅值/μm34.5416.230.62
    Y方向幅值/μm35.1216.540.40
    0.7X方向幅值/μm35.7216.490.73
    Y方向幅值/μm35.0016.700.51
    0.8X方向幅值/μm33.1215.390.61
    Y方向幅值/μm33.9716.640.72
    0.9X方向幅值/μm33.0816.180.55
    Y方向幅值/μm35.0016.330.90
    1.0X方向幅值/μm36.6517.820.47
    Y方向幅值/μm34.4816.710.41
    1.5X方向幅值/μm37.1815.590.39
    Y方向幅值/μm36.0115.740.96
    2.0X方向幅值/μm39.8715.900.63
    Y方向幅值/μm32.7815.061.22
    Table 3. Analysis and summary of simulation error of precision measurement channel under different installation gap
    安装间隙/mm精测通道误差峰峰值主要误差频次
    24
    0.1X方向幅值/μm32.4715.910.40
    Y方向幅值/μm34.3016.540.12
    0.2X方向幅值/μm33.0715.870.12
    Y方向幅值/μm33.9216.910.07
    0.3X方向幅值/μm34.4115.260.68
    Y方向幅值/μm32.9016.620.08
    0.4X方向幅值/μm32.9716.080.10
    Y方向幅值/μm35.5316.540.46
    0.5X方向幅值/μm35.0316.090.34
    Y方向幅值/μm34.0116.800.07
    Table 3. Analysis and summary of simulation error of precision measurement channel under different installation gap
    Jisen YANG, Fu XIU, Jing ZHANG, Junsong YUAN, Xiaolong ZHANG. Absolute planar two-dimensional time-grating displacement sensor with multi-frequency magnetic field coupling[J]. Optics and Precision Engineering, 2024, 32(20): 3026
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