浅海中时谐水平电偶极子在空气中的极低频磁场
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摘要
为深入分析空气中的极低频磁场,用时谐水平电偶极子等效船舶被主轴调制的水下腐蚀相关电流。根据Maxwell方程组和电磁场边界条件建立浅海条件下电偶极子在空气中的矢量磁位模型,进一步推导了磁场表达式,并利用快速汉克尔变换计算磁场的传播规律。测量了水池碳棒电极和海上钛基电极的磁场,验证了磁场的实用性和模型的有效性。
In order to analyze the ELF( extremely low frequency) magnetic field of ships,the corrosion related current modulated by the ship shaft was equivalent to a time-harmonic HED( horizontal electric dipole). Based on Maxwell' s equations and boundary conditions of electromagnetic field,the magnetic vector potential in air was modeled,and then the magnetic field expressions of the HED were deduced. The propagation character of the magnetic field was calculated by fast Hankel transform. The magnetic field of carbon electrodes in the pool and Ti-based electrodes at sea were measured. Result shows the practicality of the magnetic field and the validity of the model.
In order to analyze the ELF( extremely low frequency) magnetic field of ships,the corrosion related current modulated by the ship shaft was equivalent to a time-harmonic HED( horizontal electric dipole). Based on Maxwell' s equations and boundary conditions of electromagnetic field,the magnetic vector potential in air was modeled,and then the magnetic field expressions of the HED were deduced. The propagation character of the magnetic field was calculated by fast Hankel transform. The magnetic field of carbon electrodes in the pool and Ti-based electrodes at sea were measured. Result shows the practicality of the magnetic field and the validity of the model.
引文
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[11]熊露,姜润翔,龚沈光.浅海中船舶轴频电场建模方法研究[J].国防科技大学学报,2013,36(1):98-103.XIONG Lu,JIANG Runxiang,GONG Shenguang.Ship modeling method of shaft-ELFE in shallow sea[J].Journal of National University of Defense Technology,2013,36(1):98-103.(in Chinese)
[12]黄凡.深海水平时谐电流段在空气层产生的磁场[J].兵工自动化,2013,32(9):9-11.HUANG Fan.Magnetic field in air produced by finite horizontal time-harmonic current immersed in blue water[J].Ordnance Industry Automation,2013,32(9):9-11.(in Chinese)
[13]Wu Z Q,Zhu X H,Li B.Modeling and measurements of alternating magnetic signatures of ships[J].Sensor&Transducers,2015,186(3):161-167.
[14]胡俊,聂在平.索末菲尔德积分新方法——快速汉克尔变换[J].电子学报,1998,26(3):126-128.HU Jun,NIE Zaiping.A new method to calculate Sommerfeld integral:fast Hankel transform[J].Acta Electronica Sinica,1998,26(3):126-128.(in Chinese)
[15]雷银照.时谐电磁场解析方法[M].北京:科学出版社,2000.LEI Yinzhao.Analytic method of time-harmonic electromagnetic field[M].Beijing:Science Press,2000.(in Chinese)
[2]Bostick F,Smith H,Boehl J.The detection of ULF-ELF emissions from moving ships[R].New York:State Academic Educational Institutions,1977.
[3]Timonov A,Barrolade I,Holtham P.Generalized ELF propagation[C]//Proceedings of Marine Electromagnetic,London,UK,1997.
[4]Raju K,Roy G,Rao V,et al.Propagation characteristics of ELF E-waves in sea water[C]//Proceedings of International Conference on Electromagnetic Interference&Compatibility,2002:283-286.
[5]Holtham P,Jeffery I,Brooking B,et al.Electromagnetic signature modeling and reduction[C]//Proceedings of Undersea Defence Technology Conference,1999:1-9.
[6]Zolotarevskii Y M,Bulygin F V,Ponomarev A N,et al.Methods of measuring the low-frequency electric and magnetic fields of ships[J].Measurement Techniques,2005,48(11):1140-1144.
[7]卢新城,龚沈光,孙明.舰船轴频电场空间分布特性的实验测量与分析[J].武汉理工大学学报(交通科学与工程版),2004,28(4):498-500.LU Xincheng,GONG Shenguang,SUN Ming.Measurement and analysis of space distribution of shaft-rate electric field of a ship[J].Journal of Wuhan University of Technology(Transportation Science&Engineering),2004,28(4):498-500.(in Chinese)
[8]卢新城,龚沈光,孙明,等.轴转动调制腐蚀电流产生的极低频电场的测定[J].兵工学报,2004,25(5):544-546.LU Xincheng,GONG Shenguang,SUN Ming,et al.Measurement of extremely low frequency field caused by shaftrate modulated corrosion current[J].Acta Armamentarii,2004,25(5):544-546.(in Chinese)
[9]卢新城,龚沈光,周骏,等.海水中极低频水平电偶极子电磁场的解析解[J].电波科学学报,2004,19(03):290-295.LU Xincheng,GONG Shenguang,ZHOU Jun,et al.Analytical expressions of the electromagnetic fields produced by a ELF time-harmonic HED embedded in the sea[J].Chinese Journal of Radio Science,2004,19(03):290-295.(in Chinese)
[10]毛伟,林春生.两层介质中运动水平时谐偶极子产生的电磁场[J].兵工学报,2009,30(5):555-560.MAO Wei,LIN Chunsheng.The EM fields produced by a moving horizontally-directed time-harmonic dipole in two-layer media[J].Acta Armamentarii,2009,30(5):555-560.(in Chinese)
[11]熊露,姜润翔,龚沈光.浅海中船舶轴频电场建模方法研究[J].国防科技大学学报,2013,36(1):98-103.XIONG Lu,JIANG Runxiang,GONG Shenguang.Ship modeling method of shaft-ELFE in shallow sea[J].Journal of National University of Defense Technology,2013,36(1):98-103.(in Chinese)
[12]黄凡.深海水平时谐电流段在空气层产生的磁场[J].兵工自动化,2013,32(9):9-11.HUANG Fan.Magnetic field in air produced by finite horizontal time-harmonic current immersed in blue water[J].Ordnance Industry Automation,2013,32(9):9-11.(in Chinese)
[13]Wu Z Q,Zhu X H,Li B.Modeling and measurements of alternating magnetic signatures of ships[J].Sensor&Transducers,2015,186(3):161-167.
[14]胡俊,聂在平.索末菲尔德积分新方法——快速汉克尔变换[J].电子学报,1998,26(3):126-128.HU Jun,NIE Zaiping.A new method to calculate Sommerfeld integral:fast Hankel transform[J].Acta Electronica Sinica,1998,26(3):126-128.(in Chinese)
[15]雷银照.时谐电磁场解析方法[M].北京:科学出版社,2000.LEI Yinzhao.Analytic method of time-harmonic electromagnetic field[M].Beijing:Science Press,2000.(in Chinese)