载体感应磁场的改进积分方程法

针对几何结构复杂的载体感应磁场计算问题，提出采用面单元和体单元分别对铁磁物体薄壳体结构、非薄壳体结构剖分，并实现了感应磁场的积分方程法计算。球-球体模型解析算例表明，所提方法数值精度可靠，其平均相对误差不超过0.27%；船舶模型仿真算例表明，该方法在单元量规模较小时计算精度较好，体现了方法在载体感应磁场建模方面的优势。将该方法分别应用于潜艇主舱段-设备模型和潜艇主舱段模型磁场计算时，数值结果与实验结果平均相对误差均小于2%，数值和实验结果比较表明，铁磁设备对模型磁场影响显著。仿真和实验算例均表明所提方法可有效应用于载体的感应磁场计算，具有一定的工程实用价值。
Aimed at meshing the ferromagnetic objects with both surface elements and volume elements, a magnetic integral equation method was proposed to solve the induced magnetic field of complex-geometry carriers. Numerical results of the shell sphere and solid sphere model obtained by the proposed method can match its analytical solution well, and the ARE (average relative error) is less than 0.27%; the induced magnetic field of the ship model can be modeled well with few hybrid elements, which demonstrates the advantage of the proposed method. Based on the proposed method, the AREs between numerical and experimental results of the simple submarine equipment mockup model and the submarine mockup model are both less than 2%. Magnetism deviations caused by the equipment model are displayed by the comparison between computational results of the simple submarine equipment mockup model and the simple submarine mockup model. Thus carrier′s induced magnetic field can be calculated by the proposed method effectively, which is practically valuable.