非磁性船舶涡流磁场数值建模方法
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摘要
为了有效解决涡流磁场补偿仿真输入问题,本文采用磁变模拟方法对船舶涡流磁场等效建模,利用泰勒级数分解为磁变模拟函数,将暂态问题转化为稳态问题。积分方程法求解时,球壳体解析算例和简易船舶模型仿真算例的最大相对误差均不超过1. 50%。考察场点磁感应强度总量在一周期内的最大值为63. 13 n T,分别为2种不同相对磁导率情况下感应磁感应强度的29. 50%、13. 58%;对比结果表明涡流磁场是非磁性,并且低磁性船舶周围的干扰磁场不可忽略。研究表明所提出的方法可有效地用于获取船舶涡流磁特征,可为扫雷舰艇涡流磁场消磁技术的研究提供参考。
To solve the input problem of eddy-current magnetism( EM) compensation simulation study effectively.In the proposed method,magnetic variation method was used to model the eddy-current magnetic field. The magnetic variation functions were then decomposed by Taylor series decomposition to replace the transient analysis with several AC steady-state problems through integral equation method( IEM). The IEM results show that the maximal relative errors of shell sphere analytical examples and the simple ship model are less than 1. 50%. The three components and the total eddy magnetic flux density of a special field point within a period were calculated. The maximal value of the total eddy magnetic flux density is 63. 13 n T,which is 29. 50% and 13. 58% of the static magnetic field induction intensity with two relative permeabilities,respectively. Comparisons also demonstrate that the EM is a non-ignorable disturbing field and should be considered in the shipboard degaussing system,especially for minesweepers. The proposed method can be used to evaluate the EM characteristics of naval vessels and can lay foundations for technical study on EM degaussing.
To solve the input problem of eddy-current magnetism( EM) compensation simulation study effectively.In the proposed method,magnetic variation method was used to model the eddy-current magnetic field. The magnetic variation functions were then decomposed by Taylor series decomposition to replace the transient analysis with several AC steady-state problems through integral equation method( IEM). The IEM results show that the maximal relative errors of shell sphere analytical examples and the simple ship model are less than 1. 50%. The three components and the total eddy magnetic flux density of a special field point within a period were calculated. The maximal value of the total eddy magnetic flux density is 63. 13 n T,which is 29. 50% and 13. 58% of the static magnetic field induction intensity with two relative permeabilities,respectively. Comparisons also demonstrate that the EM is a non-ignorable disturbing field and should be considered in the shipboard degaussing system,especially for minesweepers. The proposed method can be used to evaluate the EM characteristics of naval vessels and can lay foundations for technical study on EM degaussing.
引文
[1]HOLMES J J. Exploitation of a ship's magnetic field signatures[M]. San Rafael,California:Morgan and Claypool Publishers,2006:16-25.
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[7]夏春田.舰船摇摆磁场的磁变模拟[J].舰船科学技术,1982(3):10-28.XIA Chuntian. The magnetic variation method for motional induced magnetism of naval vessles[J]. Ship science and technology,1982(3):10-28.
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[9]吕正石,王锡坤,胡超,等.舰船壳体涡流磁场[J].船舶,1994(2),47-57.LYU Zhengshi,WANG Xikun,HU Chao,et al. The eddy current magnetic field of a ship's shell[J]. Ship,1994(2):47-57.
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[11]https://altairhyperworks. com/ResourceLibrary. aspx?keywords=&altair_products=Flux&partner_products=&category=Brochures/2018-10-11.
[12]https://operafea. com/product/solutions-modules/dynamic-electromagnetics/2018-10-11.
[13]LE-DUC T,MEUNIER G,CHADEBEC O,et al. A simple integral formulation for the modeling of thin conductive shells[J]. The European physical journal applied physics,2013,64(2):24513.
[14]LE-DUC T,MEUNIER G,CHADEBEC O,et al. A new integral formulation for eddy current computation in thin conductive shells[J]. IEEE transactions on magnetics,2012,48(2):427-430.
[15]CHADEBEC O,COULOMB J L,JANET F. A review of magnetostatic moment method[J]. IEEE transactions on magnetics,2006,42(4):515-520.
[2]HOLMES J J. Modeling a ship's ferromagnetic signatures[M]. San Rafael,California:Morgan and Claypool Publishers,2007:1-4.
[3]HOLMES J J. Reduction of a ship's magnetic field signatures[M]. San Rafael,California:Morgan and Claypool Publishers,2008:21-30.
[4]GAO Junji,ZHU Xingle,ZHU Wubing. Accurate calculating method of marine three-component geomagnetic field in shipboard measurement[C]//2015 Chinese Automation Congress. Wuhan,China:IEEE,2015:1504-1507.
[5]LELIAK P. Identification and evaluation of magnetic-field sources of magnetic airborne detector equipped aircraft[J].IRE transactions on aerospace and navigational electronics,1961,ANE-8(3):95-105.
[6]周佩芬,译.横须贺新的消磁设施开始使用[J].水雷战与舰船防护,1995,3:36-38.ZHOU Peifen,trans. The new degaussing system in Yokosuka[J]. Mine Warfare&Ship Self-Defence,1995,3:36-38.
[7]夏春田.舰船摇摆磁场的磁变模拟[J].舰船科学技术,1982(3):10-28.XIA Chuntian. The magnetic variation method for motional induced magnetism of naval vessles[J]. Ship science and technology,1982(3):10-28.
[8]何乃明.舰船涡流磁场测量与补偿的研究[C]//第三届全国海事技术研讨会文集. 1997:1331-1338.HE Naiming. Measurement and compensation of ship's eddy current magnetic field[C]//The Third Seesion of the National Martime Technical Seminar. 1997:1331-1338.
[9]吕正石,王锡坤,胡超,等.舰船壳体涡流磁场[J].船舶,1994(2),47-57.LYU Zhengshi,WANG Xikun,HU Chao,et al. The eddy current magnetic field of a ship's shell[J]. Ship,1994(2):47-57.
[10]LE FLOCH Y,GUéRIN C,BRUNOTTE X,et al. 3-D computation of magnetic anomaly due to a rotating plate in the earth's magnetic field[J]. IEEE transactions on magnetics,2002,38(2):553-556.
[11]https://altairhyperworks. com/ResourceLibrary. aspx?keywords=&altair_products=Flux&partner_products=&category=Brochures/2018-10-11.
[12]https://operafea. com/product/solutions-modules/dynamic-electromagnetics/2018-10-11.
[13]LE-DUC T,MEUNIER G,CHADEBEC O,et al. A simple integral formulation for the modeling of thin conductive shells[J]. The European physical journal applied physics,2013,64(2):24513.
[14]LE-DUC T,MEUNIER G,CHADEBEC O,et al. A new integral formulation for eddy current computation in thin conductive shells[J]. IEEE transactions on magnetics,2012,48(2):427-430.
[15]CHADEBEC O,COULOMB J L,JANET F. A review of magnetostatic moment method[J]. IEEE transactions on magnetics,2006,42(4):515-520.