船舶磁场的面磁荷建模方法及稳定性分析

Stability analysis with magnetic modeling of ships based on equivalent surface magnetic charges

为提高等效面磁荷磁场推算模型的稳定性及实用性,从其系数矩阵出发进行了稳定性分析研究,提出了面磁荷参数优化选择方法及测量点优化分布方案.为进一步抑制测量误差对推算结果的影响,应用Tikhonov正则化方法对反演模型进行了求解,基于上述方法从总体上改善了面磁荷磁场推算模型的稳定性.设计了两型船模磁场测量实验来检验其有效性.结果表明,船模磁场推算值与测量值吻合较好、稳定性高,可应用于实际工程.

Due to their wide use in magnetic silencing,researchers have studied how to formulate a magnetic model.But analysis of the stability of magnetic models is always neglected,making magnetic models somewhat impractical in engineering.The field extrapolation model based on equivalent surface magnetic charges not only eliminates the theoretical disadvantages of traditional equivalent sources,but also retains the advantage of requiring little measured information.In order to improve the robustness of the field extrapolation model based on equivalent surface magnetic charges,techniques for choosing the parameters of equivalent surface magnetic charges and optimization of the distribution of the measurement points were studied using condition number analysis of the coefficient matrix.To further reduce the influence of measurement error on the extrapolated results,the Tikhonov regularization method was applied to solve the field extrapolation inverse problem.The robustness of field extrapolation models was improved greatly based on the above techniques.Finally,two mock-ups were used to verify the proposed method.There was very good agreement between the extrapolated magnetic field and the measured one.Stability was also greatly enhanced.The techniques referred to could be applied to practical magnetic field extrapolation problems in marine vessels.