基于磁梯度张量与Levenberg-Marquardt优化的磁矩计算方法

针对目前磁矩计算方法中出现的对磁性目标出厂参数精度要求较高且计算繁琐、受地磁场影响较大、反演精度较差等问题,提出了一种基于磁梯度张量概念与Levenberg-Marquardt优化算法结合的磁矩计算方法。该方法采用磁梯度张量概念消除了地磁背景场的干扰,使用Levenberg-Marquardt算法优化解算过程,消除了反演过程中出现的奇异点。对新方法进行地磁背景场、测量系统位置、环境噪声等影响因素的验证仿真,并实验验证该方法的可操作性。仿真与实验证明,相比于以往方法,新方法的磁矩反演精度有大幅度的提高,抗噪声能力更强,具有更高的鲁棒性。

Magnetic Moment Calculation Method Based on Magnetic Gradient Tensor and Levenberg-Marquardt optimization

The existing magnetic moment calculation methods have some problems,such as high requirement for the precision of the delivery parameters of magnetic targets,complicated calculation,great influence of geomagnetic field,and poor inversion accuracy.To solve these problems,a magnetic moment calculation method based on magnetic gradient tensor and Levenberg-Marquardt optimization algorithm is proposed.This method uses the concept of magnetic gradient tensor to eliminate the interference of geomagnetic background field,and uses Levenberg-Marquardt algorithm to optimize the solution process and eliminate the singularities in the inversion process.The performance of the new method is verified and simulated by geomagnetic background field,measurement system position,environmental noise and other influencing factors,and the feasibility of the method is verified by experiments.The simulation and experiment results show that,compared with the previous methods,the new method improves the precision of magnetic moment inversion greatly,and has stronger anti-noise capability and higher robustness.