浅海条件下垂直时谐电偶极子在空气中的磁场
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摘要
为分析船舶轴频磁场在空气中的传播特性,把船舶的轴频电流等效为垂直时谐电偶极子,对3层介质中垂直时谐电偶极子在空气层产生的磁场进行求解。借助麦克斯韦方程组和电磁场边界条件建立了垂直时谐电偶极子在空气中矢量磁位的模型,由矢量磁位推导了磁场三分量的表达式,并利用快速汉克尔变换对包含贝塞尔函数积分的磁场进行数值计算。最后,通过碳棒电极在海水水池中的实验,验证了本文的实用性和有效性。
In order to analyze the shaft-rate magnetic field of a ship in air, the shaft-rate current is equivalent to a vertically-directed time-harmonic dipole. In three-layer medium, the magnetic field in air generated by a dipole is derived. First,based on Maxwell's equations and boundary conditions of electromagnetic field, the magnetic vector potential of the dipole is modeled. Then, the magnetic field expressions of the dipole are deduced and a numerical computation is conducted by fast Hankel transform while the expressions contain Bessel integration. At last, the practicalities and validities of the calculation results are proved by contrasting with the carbon electrodes experiment in sea pool.
In order to analyze the shaft-rate magnetic field of a ship in air, the shaft-rate current is equivalent to a vertically-directed time-harmonic dipole. In three-layer medium, the magnetic field in air generated by a dipole is derived. First,based on Maxwell's equations and boundary conditions of electromagnetic field, the magnetic vector potential of the dipole is modeled. Then, the magnetic field expressions of the dipole are deduced and a numerical computation is conducted by fast Hankel transform while the expressions contain Bessel integration. At last, the practicalities and validities of the calculation results are proved by contrasting with the carbon electrodes experiment in sea pool.
引文
[1]林春生,龚沈光.舰船物理场[M].北京:兵器工业出版社,2007:237-240.
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[5]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.
[6]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.
[7]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.
[8]毛伟,周萌,周耀忠.浅海中运动时谐垂直电偶极子产生的电磁场[J].哈尔滨工程大学学报,2010,31(12):1580-1586.
[9]贾亦卓,姜润翔,龚沈光.基于小波模极大值的船舶轴频电场检测算法研究[J].兵工学报,2013,34(5):579-584.
[10]程锐,姜润翔,龚沈光,等.基于EMD和4阶累积量的船舶轴频电场线谱提取[J].舰船科学技术,2016(1):94-98.
[11]WU Zhi-qiang,ZHU Xin-hua,LI Bin.Modeling and measurements of alternating magnetic signatures of ships[J].Sensor&Transducers,2015,186(3):161-167.
[12]雷银照.时谐电磁场解析方法[M].北京:科学出版社,2000:112-118,147-150.
[13]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.
[2]ZOLOTAREVSKII Y,BULYGIN F,PONOMAREV A,et al.Methods of measuring the low-frequency electric and magnetic fields of ships[J].Measurement Techniques,2005,48(11):1140-1144.
[3]BOSTICK F,SMITH H,BOEHL J.The detection of ULF-ELF emissions from moving ships[R].New York:State Academic Educational Institutions,1977.
[4]HOITHAM P,JEFFERY I,BROOKING B,et al.Electromagnetic signature modeling and reduction[C]//Conference Proceeding UDT Europe,1999.
[5]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.
[6]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.
[7]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.
[8]毛伟,周萌,周耀忠.浅海中运动时谐垂直电偶极子产生的电磁场[J].哈尔滨工程大学学报,2010,31(12):1580-1586.
[9]贾亦卓,姜润翔,龚沈光.基于小波模极大值的船舶轴频电场检测算法研究[J].兵工学报,2013,34(5):579-584.
[10]程锐,姜润翔,龚沈光,等.基于EMD和4阶累积量的船舶轴频电场线谱提取[J].舰船科学技术,2016(1):94-98.
[11]WU Zhi-qiang,ZHU Xin-hua,LI Bin.Modeling and measurements of alternating magnetic signatures of ships[J].Sensor&Transducers,2015,186(3):161-167.
[12]雷银照.时谐电磁场解析方法[M].北京:科学出版社,2000:112-118,147-150.
[13]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.