正则化技术在舰船磁场建模逆问题中的应用

舰船钢材磁化历史的未知性决定着其磁场建模通常只能采用逆问题的计算思路,而逆问题模型的病态性给其求解带来了较大困难。针对上述难题,从舰船磁场建模逆问题的特点出发,分析了影响准确求解舰船磁场建模逆问题的因素。为减小舰船磁场逆问题病态性对建模结果的影响,采用截断奇异值分解方法和Tikhonov正则化方法进行求解。舰船磁场深度推算仿真算例表明,正则化方法可有效提高舰船磁场建模逆问题的计算精度和稳定性。

Application of the Regularization Methods on Inverse Problem of Ships Magnetization Modeling

Due to the unknown magnetization history of steel ships,inverse models should be adopted in magnetostatic modeling of ships.Since the inverse models of ship's magnetic field are usually ill-posed for lack of enough physical measurement information,great difficulty is encountered in the above inverse model's solving.To overcome this difficulty,based on the characteristics of the magnetostatic inverse problem of ships,factors influencing the accurate solving of inverse problem of ship's magnetic field are ana...