基于磁偶极子磁场分布特征的磁矩方向估算方法

Magnetic Moment Direction Estimation Based on Characteristic of Magnetic Dipole Distribution

针对以往求解磁矩时需进行非线性优化的问题,提出了基于磁偶极子磁场分布特征的磁矩方向计算方法。该方法分析了磁偶极子的磁场分布特征,利用磁梯度张量奇异点确定特征平面的位置,再根据位置矢量与磁矩矢量、磁场矢量所成的两个夹角之间的关系,确定与磁矩方向一致的特征平面法向量,从而得到磁矩的方向。仿真结果表明,该方法能够有效估算出磁偶极子的磁矩方向,同时避免了非线性优化的问题,估算得到的磁矩方向与设定的磁矩方向基本一致,两者间的偏差角为0.14°。

In order to solve the nonlinear optimization problem in the inversion work of the magnetic dipole magnetic moment,a estimation method of magnetic moment direction based on magnetic field distribution characteristic was proposed.The magnetic field distribution of magnetic dipole was analyzed,and the position of the characteristic plane was determined by the magnetic gradient tensor singularity points.Then according to the relationship of the two angles,which refer to the angle between the position vector and magnetic moment vector and the angle between position vector and magnetic field vector,the characteristic plane normal vector consistent with the direction of the magnetic moment was obtained.The simulation results showed that the method could effectively estimate the magnetic moment direction of the magnetic dipole,and it avoided the problem of nonlinear optimization.The estimated magnetic moment direction was basically the same as the set magnetic moment direction.The deviation to the direction of actual magnetic moment is 0.14 degrees.