一种舰船高精度感应磁场快速正演建模方法  

A Fast Forward Modeling Method for High Precision Induced Magnetic Field of Ships

作　　者：何保委 孙兆龙 刘月林 周国华[1] 唐烈峥 He Baowei;Sun Zhaolong;Liu Yuelin;Zhou Guohua;Tang Liezheng(School of Electrical Engineering Naval University of Engineering,Wuhan 430033 China)

机构地区：[1]海军工程大学电气工程学院,武汉430033

出　　处：《电工技术学报》2024年第6期1589-1601,共13页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(51377165,52207020)。

摘　　要：为了解决矢量积分方程法计算舰船感应磁场时效率较低和计算量较大的问题,提出一种基于简化标量磁位的积分方程正演模型,并引入多层自适应交叉近似(MLACA)算法,不仅能够保证磁场计算精度,还能大幅减少计算机的内存需求和计算时间。数值仿真表明,使用基于MLACA的标量积分方程法能够快速获取高精度的铁磁物体感应磁场。针对舰船铁磁材料的磁性参数不易获取的问题,基于磁场实测值和正演耦合模型,以磁场拟合度、磁化率先验分布和光滑约束条件为目标函数建立磁化率反演模型,并采用模拟退火(SA)算法优化得到等效磁化率的空间分布。球壳数值仿真和船模试验结果表明,磁化率反演优化模型有效可行,其中球壳磁场的预测误差为2.2%,船模磁场的预测误差约为4.8%。Mastering the distribution of a ship’s induced magnetic field is an important issue for implementing magnetic stealth technology,and the integral equation method is one of the main methods to calculate the ship’s induced magnetic field.The integral equation method only needs to discretize the ferromagnetic region and does not need to consider the boundary conditions,so it has been widely concerned and applied.The traditional vector integral equation for modeling induced magnetic fields has the problems of low efficiency and an enormous computational burden.Considering that there are many discrete elements of large ferromagnetic objects such as ships,the coupling coefficient between elements forms a huge asymmetric dense matrix.As a result,the computing time and memory requirement will increase sharply with the increase of the number of elements.Therefore,a scalar magnetic potential integral equation method based on surface elements is proposed.Since the integral equation method needs to obtain the magnetic susceptibility of ferromagnetic materials,the equivalent magnetic susceptibility inversion model is established based on a multi-level adaptive cross approximation(MLACA)algorithm.Firstly,the scalar magnetic potential integral formula based on triangular surface elements is derived.According to the principle of linear interpolation,the scalar magnetic potential of the center point of discrete elements is expressed by interpolation function and node scalar magnetic potential,and the elements’coupling coefficient matrix is obtained by establishing a local coordinate system.Therefore,the scalar integral method of surface elements is obtained for solving the ship’s induced magnetic field.Secondly,the MLACA algorithm is introduced to guarantee the accuracy of magnetic field calculation and reduce the memory requirement and computing time of the computer.Finally,aiming at the problem that the magnetic parameters of ferromagnetic materials of ships are not easy to obtain,a magnetic susceptibility inversion mod

关 键 词：舰船磁场 简化标量磁位 多层自适应交叉近似 模拟退火法 等效磁化率 

分 类 号：TM153[电气工程—电工理论与新技术]