In this paper,the stability of the ship's corrosion related electric field model of the electric dipole array is discussed. The SVD algorithm is applied to the solving process of the model matrix equation. The stability of the model can be increased by cutting off the little singular value of the kernel matrix. The numerical tests show that the turbulence of the model parameters originating from the measured data error can be reduced significantly by use of the SVD algorithm relative to the least-squares method. The modeling results of a certain ship's real data also verify the validity of the SVD algorithm.%基于线性反演理论,讨论了舰船腐蚀相关电场电偶极子模型的稳定性问题,在此基础上将奇异值分解算法应用于建模,通过摒弃模型矩阵方程核矩阵的小奇异值,来改善核矩阵的病态程度,提高数据方程反演的稳定性.数值试验表明,当反演数据存在一定误差时,奇异值分解算法相对于最小二乘算法可以明显降低数据误差引起的模型参数扰动,有效地提高模型的稳定性.实船实测数据建模结果进一步验证了奇异值分解算法提高模型稳定性的有效性.
展开▼
