基于磁场积分法和Tikhonov正则化的船舶固定磁场重建与分解技术

Remanent Magnetic Field Modeling of Naval Vessels Based on Integral Method and Tikhonov Regularization Method

船舶铁磁材料磁化历史的复杂性及其不可预知性使得船舶固定磁场计算一直是船舶磁隐身中的技术难题。针对船舶固定磁场重建与分解问题,提出了一种基于磁场积分法和Tikhonov正则化方法的铁磁物体固定磁场重建与分解新方法。首先通过测量得到了船舶下方空间若干场点处的磁场值,并以正问题形式计算得到了地磁场作用下船舶在测量场点处的感应磁场值;后基于测量场点处的磁场测量数据和所计算的感应磁场数据,建立船舶固定磁场反演计算模型,并采用Tik-honov正则化方法对反演模型进行求解,以克服反演模型病态性的影响。设计船舶固定磁场的计算实例,结果证明该方法具有较好地计算精度,能够有效实现船舶固定磁场的重建与分解。

Due to the complexity and unpredictability of the magnetization history of ship ferromagnetic material, the remanent magnetic field modeling of ships is always a technical issue in ship magnetic silen- cing. A new reconstruction method of the remanent magnetic field of ship was proposed based on an inte- gral method and Tikhonov regularization method. Firstly, the magnetic field below a ship was measured, and the induced magnetic field caused by geomagnetic field at the measuring points was calculated. Then, a remanent magnetic field inverse model was given based on the measured data of magnetic field and the calculated induced magnetic field. Tikhonov regularization method was adopted to solve the above inverse model to eliminate the ill-conditioning influence of the inverse model. A mockup was designed to verify the proposed method. The results show that the calculation accuracy is satisfying and the remanent magnetic field can be reconstructed efficiently by the proposed method.