针对目前广泛使用的基于磁梯度张量不变量的磁性目标定位方法未考虑椭圆系数的变化而导致定位精度降低这一问题, 提出一种新的单位距离矢量求解方法和距离矢量模求解方法。通过分析磁性目标与测量系统之间的位置关系, 构建新的单位距离矢量, 并通过麦克劳林公式和磁梯度张量不变量分别构建新的存在一阶误差与二阶误差的距离矢量模, 避免未考虑椭圆系数变化而导致定位精度降低。仿真试验验证了所提方法较以前方法定位精度有明显提升, 存在一阶误差与二阶误差的距离矢量模对定位精度的影响基本相同。该方法对进行探潜和未爆炸物的检测等方面具有较高的研究和应用价值。

Aiming at the problem that the variation of ellipse coefficient is not considered in the widely used magnetic target locating method based on magnetic gradient tensor invariant, which leads to the decrease of location accuracy, a new method of solving unit distance vector and distance vector modulus is proposed.By analyzing the position relationship between magnetic target and measurement system, a new unit distance vector is constructed, and a new distance vector modulus with first-order error and second-order error is constructed by Maclaurin formula and magnetic gradient tensor invariant respectively, to avoid the reduction of positioning accuracy caused by the change of elliptic coefficient.Simulation results show that the proposed method has better positioning accuracy than the previous method, and the distance vector modulus with first-order error and second-order error has almost the same effect on positioning accuracy.The method has high research and application value for the detection of submarine and unexploded ordance.