• Optics and Precision Engineering
  • Vol. 30, Issue 11, 1325 (2022)
Qingzhu LI, Zhiyong SHI, Zhining LI*, and Hongbo FAN
Author Affiliations
  • Department of Vehicle and Electrical Engineering, Army Engineering University of PLA, Shijiazhuang050003, China
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    DOI: 10.37188/OPE.20223011.1325 Cite this Article
    Qingzhu LI, Zhiyong SHI, Zhining LI, Hongbo FAN. Estimation method for differential magnetic gradient tensor measurement limits[J]. Optics and Precision Engineering, 2022, 30(11): 1325 Copy Citation Text show less
    Structure of planar-cross MGTS
    Fig. 1. Structure of planar-cross MGTS
    Detection limits of MGTS with variable parameters
    Fig. 2. Detection limits of MGTS with variable parameters
    Theoretical detection limits of MGTS with different sources and variable parameters
    Fig. 3. Theoretical detection limits of MGTS with different sources and variable parameters
    Theoretical error of MGT differential measurement with different baseline distances and observation distances
    Fig. 4. Theoretical error of MGT differential measurement with different baseline distances and observation distances
    Experimental setup of planar-cross MGTS
    Fig. 5. Experimental setup of planar-cross MGTS
    Prepared four magnets with size information
    Fig. 6. Prepared four magnets with size information
    Detection limits estimation and verification experiments
    Fig. 7. Detection limits estimation and verification experiments
    Selection of cutoff frequency of low-pass filter and estimation of MGTS tensor measurement accuracy
    Fig. 8. Selection of cutoff frequency of low-pass filter and estimation of MGTS tensor measurement accuracy
    Magnets magnetic moment estimation experiments
    Fig. 9. Magnets magnetic moment estimation experiments
    Estimated magnitude and direction of magnetic dipole moment of four magnets
    Fig. 10. Estimated magnitude and direction of magnetic dipole moment of four magnets
    Detection limits estimation of MGTS for four magnets
    Fig. 11. Detection limits estimation of MGTS for four magnets
    Measured MGTS detection limit distance (rmax) of four magnets in direction parallel to magnetic moment
    Fig. 12. Measured MGTS detection limit distance (rmax) of four magnets in direction parallel to magnetic moment
    指 标BxxBxyBxzByxByyByz估计值
    RMSE3.2190.9161.3981.5773.1262.6761.844
    ME2.6470.7201.1271.2282.5292.1351.484
    Q±8.285±3.804±4.392±5.152±8.177±6.903±8.285
    Table 1. Estimated accuracy (maximum absolute error Q) and precision (RMSE and ME) of MGTS readings (nT/m)
    磁铁

    尺寸

    /cm

    真实位置

    /cm

    估计位置

    /cm

    估计m/

    (A·m2

    估计M/

    (A·m2

    是否有效
    m1

    ϕ2.0×

    2.0

    (50,50,-50)(66.5,67.0,-52.8)(1.68, 2.41, -6.61)7.24
    (100,100,-50)(100.0,100.3,-49.9)(0.04,0.08,-4.13)4.13
    m2

    ϕ6.0×

    1.3

    (50,50,-50)(66.9,65.1,53.0)(4.98, 2.76, -11.82)13.12
    (100,100,-50)(100.0,99.6,-50.7)(0.45, 0.36, -6.67)6.69
    m3

    6.0×

    4.0×1.0

    (50,50,-50)(69.8,62.7,-55.7)(7.74, 2.44, -15.75)17.72
    (100,100,-50)(102.7,103.6,-50.4)(-0.63, -0.81, -11.46)11.51
    m4

    10.0×

    3.0×1.0

    (50,50,-50)(64.6,67.4,-56.4)(-3.44, 10.05, -32.57)34.26
    (100,100,-50)(101.3,104.5,-50.7)(-2.84, -0.27, -22.77)22.9467
    Table 2. Estimated magnet position and magnetic dipole moment in magnet positioning experiments
    d/mq/nTθ/(°)磁铁m/(A·m2M/(A·m2估计rmax/m实测rmax/m
    0.5±2.10 or 180m1(0,0.1,-4.1)4.16.25.8
    m2(0.4,0.4,-6.7)6.77.06.6
    m3(-0.6,-0.8,-11.5)11.58.07.7
    m4(-2.8,-0.3,-22.8)23.09.59.2
    Table 3. Detection limits estimation and its necessary parameters of MGTS
    Qingzhu LI, Zhiyong SHI, Zhining LI, Hongbo FAN. Estimation method for differential magnetic gradient tensor measurement limits[J]. Optics and Precision Engineering, 2022, 30(11): 1325
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