基于全张量磁场梯度的磁偶极子定位及误差分析

The location of magnetic dipole based on full tensor gradient and error analysis

  • 摘要: 为了对磁偶极子进行高精度的磁性定位,文章从磁偶极子模型出发,推导出磁偶极子的空间坐标与其产生的磁场及磁场梯度之间的关系式;针对模型及关系式,设计了一种全张量磁场梯度传感器,能够一次测量出精确定位所需的9个磁场梯度值和3个磁场强度值;对比仿真结果和实验结果,发现二者具有较好的一致性,证明了该理论模型的有效性。对于磁偶极子,用半径为0.05 m的梯度传感器对磁矩为2 A·m2的磁偶极子进行定位测量,在0.5~1 m距离内定位误差不大于10%。文章还对定位测量误差的原因进行了分析,包括梯度测量基线距离及传感器半径对定位误差的影响。

     

    Abstract: In order to locate the magnetic object with a high accuracy for magnetic dipoles, this paper proposes a formula for the space coordinates of the magnetic dipole and the magnetic field gradient based on an equivalent model, and an integrally full gradient tensor magnetic field sensor is designed. Nine magnetic field gradient values and three magnetic fields can be measured at one time. The results of simulation are verified by experiments with good agreement, and the validity of the method is shown when the intensity of the magnetic moment is 2 A·m2, the location error is not more than 10% within 0.5 m to 1 m when the radius of the sensor is 0.05 m. The causes of the location error is analyzed, including the distance between two sensors(i.e. the baseline distance) and their radius on the location of the magnetic field gradient.

     

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