利用点电流源和Tikhonov正则化的潜艇稳恒电场反演方法
2024,46(4):212-221
摘要：
为了评估潜艇水下腐蚀相关稳恒电场分布特性,从潜艇水下腐蚀相关稳恒电场产生机理出发,基于等效点电流源建立潜艇水下腐蚀相关稳恒电场正演模型,并利用Tikhonov正则化根据已知电场数据求解等效点电流源电流强度,对潜艇周围海水空间的腐蚀相关稳恒电场进行推算。将某型潜艇的COMSOL软件仿真结果作为模拟试验数据,对所提方法有效性进行验证。结果表明:由水深38 m电场值向水深42.5 m和水深33.5 m进行反演时,相对均方根误差、最大值相对误差、峰峰值相对误差均不超过0.06；由较近平面向较远平面进行反演时,即使推算深度达到45 m,相对均方根误差仍然在0.21以内；噪声标准差为实际电场最大值的0.1倍时,反演误差仍然小于0.1。该算法抗噪声能力强,精度较高,能较好地用于工程实践。
为了评估潜艇水下腐蚀相关稳恒电场分布特性,从潜艇水下腐蚀相关稳恒电场产生机理出发,基于等效点电流源建立潜艇水下腐蚀相关稳恒电场正演模型,并利用Tikhonov正则化根据已知电场数据求解等效点电流源电流强度,对潜艇周围海水空间的腐蚀相关稳恒电场进行推算。将某型潜艇的COMSOL软件仿真结果作为模拟试验数据,对所提方法有效性进行验证。结果表明:由水深38 m电场值向水深42.5 m和水深33.5 m进行反演时,相对均方根误差、最大值相对误差、峰峰值相对误差均不超过0.06；由较近平面向较远平面进行反演时,即使推算深度达到45 m,相对均方根误差仍然在0.21以内；噪声标准差为实际电场最大值的0.1倍时,反演误差仍然小于0.1。该算法抗噪声能力强,精度较高,能较好地用于工程实践。
基金项目：
国家部委基金资助项目(20QBJLIZ004C)
国家部委基金资助项目(20QBJLIZ004C)
Inversion method of submarine steady electric field using point-type current source and Tikhonov regularization
ZHANG Jianchun
The PLA Unit 31455, Shenyang 110000, China,hbzjctj@163.com
LIU Chunyang
College of Information and Communication, National University of Defense Technology, Wuhan 430010, China
ZHAO Yulong
College of Information and Communication, National University of Defense Technology, Wuhan 430010, China
The PLA Unit 31455, Shenyang 110000, China,hbzjctj@163.com
LIU Chunyang
College of Information and Communication, National University of Defense Technology, Wuhan 430010, China
ZHAO Yulong
College of Information and Communication, National University of Defense Technology, Wuhan 430010, China
Abstract：
In order to evaluate the distribution characteristics of submarine underwater corrosion related steady electric field, starting from the mechanism of submarine underwater corrosion related steady electric field, a forward model of submarine underwater corrosion related steady electric field was established based on the equivalent point-type current source theory. And the current intensity of the equivalent point-type current sources was solved by Tikhonov regularization according to the measured electric field data. The effectiveness of the proposed method was verified by commercial finite element software COMSOL. The results show that when inverting the electric field value from depth of 38 m to a water depth of 42.5 m and 33.5 m, the relative root mean square error, maximum relative error, and peak to peak relative error do not exceed 0.06. Even if the calculated depth reaches 45 m, the relative root mean square error is still less than 0.21. When the noise standard deviation is 0.1 times the maximum value of the actual electric field, the inversion error is still less than 0.1. This algorithm has strong noise resistance and high accuracy, can be used in engineering practice.
In order to evaluate the distribution characteristics of submarine underwater corrosion related steady electric field, starting from the mechanism of submarine underwater corrosion related steady electric field, a forward model of submarine underwater corrosion related steady electric field was established based on the equivalent point-type current source theory. And the current intensity of the equivalent point-type current sources was solved by Tikhonov regularization according to the measured electric field data. The effectiveness of the proposed method was verified by commercial finite element software COMSOL. The results show that when inverting the electric field value from depth of 38 m to a water depth of 42.5 m and 33.5 m, the relative root mean square error, maximum relative error, and peak to peak relative error do not exceed 0.06. Even if the calculated depth reaches 45 m, the relative root mean square error is still less than 0.21. When the noise standard deviation is 0.1 times the maximum value of the actual electric field, the inversion error is still less than 0.1. This algorithm has strong noise resistance and high accuracy, can be used in engineering practice.
收稿日期：
2022-04-10
2022-04-10
