基于磁荷面分布的舰船磁场预测方法

A method for magnetic field prediction caused by naval vessels using magnetic charge distribution

利用等效源观点,把钢铁建造的舰船船体视为等效磁荷面分布,建立了该分布与磁场传感器测量值之间应满足的第一类Fredholm积分方程,然后利用广义逆矩阵对积分方程离散化后得到的线性方程组进行求解,并以矩阵条件数来衡量方程组的病态程度,最后利用求解得到的磁荷分布来预测舰船在空间中任意点上产生的磁场.数值模拟表明该方法可以准确地识别磁性从而得到精确的磁场预测值.最后利用一个船模实验验证了本方法.

From the viewpoint of equivalent sources, the ferromagnetic hull of naval vessels is regarded as a magnetic charge layer, and a Fredholm integral equation of the first kind relating the layer with the measurements of magnetic field sensors is developed. After the discretization of the integral equation, a system of linear equations is obtained which is solved by generalized inverse matrix, and the condition number is employed to assess whether the system is ill-posed. Then the field caused by the hull at an arbitrary point in the space is predicted by the calculated layer. A numerical simulation shows that our method can precisely identify the magnetization to predict the field. And finally a ship model is used to verify the method.