• Infrared and Laser Engineering
  • Vol. 53, Issue 2, 20230543 (2024)
Wenhe Zhao1、2, Yangyang Bai1、2, Jinkai Wang1、2, and Lizhong Zhang1、2
Author Affiliations
  • 1College of Mechanical and Electrical Engineering, Changchun University of Science and Technology, Changchun 130022, China
  • 2National and Local Joint Engineering Research Center of Space and Optoelectronics Technology, Changchun University of Science and Technology, Changchun 130022, China
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    DOI: 10.3788/IRLA20230543 Cite this Article
    Wenhe Zhao, Yangyang Bai, Jinkai Wang, Lizhong Zhang. Accuracy analysis of a three-dimensional angle measurement sensor based on dual PSDs[J]. Infrared and Laser Engineering, 2024, 53(2): 20230543 Copy Citation Text show less
    Schematic diagram of 2D PSD structure
    Fig. 1. Schematic diagram of 2D PSD structure
    Schematic diagram of dual PSD 3D angle measurement
    Fig. 2. Schematic diagram of dual PSD 3D angle measurement
    PSD signal processing circuit diagram
    Fig. 3. PSD signal processing circuit diagram
    Schematic diagram of the relative positions of two PSD
    Fig. 4. Schematic diagram of the relative positions of two PSD
    Two PSD calibration experiments
    Fig. 5. Two PSD calibration experiments
    Two PSD calibration point positions
    Fig. 6. Two PSD calibration point positions
    Extracted analog signal noise signal
    Fig. 7. Extracted analog signal noise signal
    (a) Noise fitting curve; (b) Curve after filtering with a 34th order FIR filter
    Fig. 8. (a) Noise fitting curve; (b) Curve after filtering with a 34th order FIR filter
    Curve plot of input signal frequency at (a) 1.00 Hz, (b) 10.00 Hz, (c) 100.00 Hz and (d) 1.00 kHz
    Fig. 9. Curve plot of input signal frequency at (a) 1.00 Hz, (b) 10.00 Hz, (c) 100.00 Hz and (d) 1.00 kHz
    Curve plot of input signal frequency at (a) 184 Hz and (b) 1.31 kHz
    Fig. 10. Curve plot of input signal frequency at (a) 184 Hz and (b) 1.31 kHz
    Comparison diagram between collected data and filtered data
    Fig. 11. Comparison diagram between collected data and filtered data
    Comparison diagrams of (a) yaw angle measurement values, (b) pitch angle measurement values, (c) roll angle measurement values before and after filtering
    Fig. 12. Comparison diagrams of (a) yaw angle measurement values, (b) pitch angle measurement values, (c) roll angle measurement values before and after filtering
    Angle measurement experimental system
    Fig. 13. Angle measurement experimental system
    SpecificationsDual autocollimation instrument typeMCCR instrument typeThree PSD grating type
    Angle measurement range±2'±10°±360"
    Yaw angle measurement error2.2"394.16"0.013"
    Pitch angle measurement error2.5"455.36"0.012"
    Roll angle measurement error8.7"319.57"0.009"
    Table 1. Performance indicators of each three-axis angle measurement methods
    PerformanceTypical value/μmPerformanceTypical value/μrad
    X, Y accuracy±0.6$ {\theta } $X, $ {\theta } $Y accuracy±3
    Z accuracy±0.2$ {\theta } $Z accuracy±9
    X, Y resolution ratio0.3$ {\theta } $X, $ {\theta } $Y resolution ratio3
    Z resolution ratio0.2$ {\theta } $Z resolution ratio5
    Table 2. Performance indicators of six axis hexapod nano displacement table
    Yaw angle measurement error $ {\sigma _{{x}}} $/(°)Pitch angle measurement error $ {\sigma _{{y}}} $/(°)Roll angle measurement error $ {\sigma _{{z}}} $/(°)
    No filtering: Yaw angle0.0050.0120.021
    No filtering: Pitch angle0.0050.0110.020
    No filtering:Roll angle0.0070.0150.026
    No filtering: Combined measurement0.0130.0200.039
    Filtering: Yaw angle0.0030.0070.013
    Filtering:Pitch angle0.0020.0070.015
    Filtering: Roll angle0.0040.0070.017
    Filtering: Combined measurement0.0060.0090.021
    Table 3. Angle measurement error
    Yaw angle translation influence ${\sigma }_{{x} }^{\prime}$/(°)Pitch angle translation influence ${\sigma }_{{y} }^{\prime}$/(°)Roll angle translation influence ${\sigma }_{{z} }^{\prime}$/(°)
    Move forward 2 mm0.0010.0010.007
    Move back 2 mm0.0040.0010.003
    Move up 2 mm0.0030.0010.004
    Move down 2 mm0.0020.0010.005
    Move left 2 mm0.0020.0010.004
    Move right 2 mm0.0010.0020.005
    Table 4. Experimental results of the effect of translation on angle measurement
    Wenhe Zhao, Yangyang Bai, Jinkai Wang, Lizhong Zhang. Accuracy analysis of a three-dimensional angle measurement sensor based on dual PSDs[J]. Infrared and Laser Engineering, 2024, 53(2): 20230543
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