基于微波网络参数的非均匀传输线终端响应研究
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摘要
为了研究电磁场对有损大地非均匀传输线终端响应的影响,以传输线模型为基础,应用微波网络参数转移矩阵推导了平面波入射条件下有损大地上突变型非均匀传输线终端响应公式。利用该公式可精确计算突变型非均匀传输线的终端响应大小。为了证明该理论的正确性,对有损大地上接有转换器的突变型非均匀传输线结构进行了理论分析计算。分别对不同电导率有损大地的情况进行了理论分析计算:不同电导率对终端感应电流的影响相差小于3dB。最后结合实际选取大地电导率的典型值0.01S/m对该非均匀传输线结构终端电流响应进行了实测。实测结果与理论结果对比,两者吻合较好,因此该微波网络转移矩阵方法特别适合对突变型非均匀传输线场线耦合终端响应的求解计算。
In order to study the terminal response characteristics of abruptly non-uniform line on a lossy ground exposed in radiation field, the terminal response formula of abruptly non-uniform transmission line above a lossy ground is derived based on transmission line model and microwave network parameters transition matrix. The terminal response of the abruptly non-uniform line can be calculated accurately based on the derived formula. To confirm the validity of the theory, the abruptly non-uniform transmission line with a converter is analyzed and calculated theoretically. The terminal response of transmission line structure with different conductivity is analyzed and calculated theoretically: the influence of different conductivities on the terminal conducted current is less than 3 dB. Based on practice, the terminal response of non-uniform transmission line with a converter above a lossy ground, whose conductivity is 0.01 S/m, is measured. It is shown that the theoretical results are in agreement with the measured results. This proves that the method of microwave network transition matrix in this paper is especially suitable for the calculation of the response of the response of the abruptly non-uniform lines.
In order to study the terminal response characteristics of abruptly non-uniform line on a lossy ground exposed in radiation field, the terminal response formula of abruptly non-uniform transmission line above a lossy ground is derived based on transmission line model and microwave network parameters transition matrix. The terminal response of the abruptly non-uniform line can be calculated accurately based on the derived formula. To confirm the validity of the theory, the abruptly non-uniform transmission line with a converter is analyzed and calculated theoretically. The terminal response of transmission line structure with different conductivity is analyzed and calculated theoretically: the influence of different conductivities on the terminal conducted current is less than 3 dB. Based on practice, the terminal response of non-uniform transmission line with a converter above a lossy ground, whose conductivity is 0.01 S/m, is measured. It is shown that the theoretical results are in agreement with the measured results. This proves that the method of microwave network transition matrix in this paper is especially suitable for the calculation of the response of the response of the abruptly non-uniform lines.
引文
[1]SEBASTIAN S,ANDREAS M,MARCO L.Efficient modal network model for nonuniform transmission lines including field coupling[J].IEEE Transactions on Electromagnetic Compatibility,2016,58(4):1359-1366.
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[3]FARHAD R.A review of field to transmission line coupling models with special emphasis to lightning-induced voltages on overhead lines[J].IEEE Transactions on Electromagnetic Compatibility,2012,54(4):898-911.
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[18]王川川,汪连栋,曾勇虎,等.场线耦合问题研究现状及其发展综述[J].电子科学研究院学报,2014,9(4):353-359.WANG Chuan-chuan,WANG Lian-dong,ZENG Yong-hu,et al.The present research and development trend of transmission line system’s coupling with electromagnetic fields[J].Journal of CAEIT,2014,9(4):353-359.
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[20]朱峰,邱日强,牛大鹏,等.基于有源传输线模型的地-架空屏蔽线缆耦合特性分析与参数计算[J].电工技术学报,2016,31(4):22-27.ZHU Feng,QIU Ri-qiang,NIU Da-peng,et al.Coupling characteristic analysis and parameter calculation of ground and above-ground shielded cables based on transmission line with a distributed source model[J].Transactions of China Electrotechnical Society,2016,31(4):22-27.
[21]邱日强,朱峰.有损大地上屏蔽电缆耦合的感应电流分布特性[J].高电压技术,2016,42(8):2451-2456.QIU Ri-qiang,ZHU Feng.Induced current distribution characteristics for the electromagnetic field coupling to shielded cable above a lossy ground[J].High Voltage Engineering,2016,42(8):2451-2456.
[22]HEIKO H,TORSTEN S,JURGEN N.New propagation models for electromagnetic waves along uniform and non-uniform cables[J].IEEE Transactions on Electromagnetic Compatibility,2004,46(3):345-352
[23]EMAD G,MICHEL N.Efficient simulation of non-uniform transmission lines using integrated congruence transform[J].IEEE Transactions on Very Large Scale Integration(VLSI)Systems,2004,12(12):1307-1320
[24]MOHAMMAD K A.Analysis of coupled nonuniform transmission lines using Talor’s series expansion[J].IEEETransac-tions on Electromagnetic Compatibility,2006,48(3):594-600.
[25]贾磊,张亚婷,赵训君,等.非均匀传输线中电磁暂态过程的新型时域算法[J].高电压技术,2009,35(2):430-434JIA Lei,ZHANG Ya-ting,ZHAO Xun-jun,et al.New time domain algorithm for computation of electromagnetic transients in non-uniform transmission line[J].High Voltage Engineering,2009,35(2):430-434.
[26]张卉.非均匀传输线场路特性研究[D].北京:北京交通大学,2008.ZHANG Hui.Research on the field and circuit characteristics of non-uniform transmission line[D].Beijing:Beijing Jiaotong University,2008.
[27]杨清熙,周星,王国庆,等.一种有损非均匀传输线时域分析方法[J].强激光与粒子束,2016,28(11):110-116.YANG Qing-xi,ZHOU Xing,WANG Guo-qing,et al.Equivalent circuit model for transient analysis of lossy non-uniform transmis-sion line network[J].High Power Laser and Particle Beams,2016,28(11):110-116.
[28]CLATON R P,ROBERT T A.Coupling of electromagnetic fields to transmission lines[C]//IEEE International Symposium on Electromagnetic Compatibility.Boulder,Australia:IEEE,1981.
[2]MARCO L,ANDREAS M.A foster-type field to transmission line coupling model for broadband simulation[J].IEEE Transactions on Electromagnetic Compatibility,2014,56(6):1630-1637.
[3]FARHAD R.A review of field to transmission line coupling models with special emphasis to lightning-induced voltages on overhead lines[J].IEEE Transactions on Electromagnetic Compatibility,2012,54(4):898-911.
[4]FREDERICK M T,MICHEL V,TORBJORN K.EMCanalysis methods and computational models[M].New York,USA:John Wiley and Sons Inc,1997.
[5]CLAYTON R P.Analysis of multiconductor transmission line[M].New York,USA:John Wiley and Sons,Inc,2008.
[6]闫哲,何晶,孙婉君,等.应用电磁拓扑方法求解孔线耦合的瞬态响应[J].电子科技大学学报,2013,42(6):852-856.YAN Zhe,HE Jing,SUN Wan-jun.Transient response of aperture and lines coupling solved by using electromagnetic topology method[J].Journal of University of Electronic Science and Technology of China,2013,42(6):852-856.
[7]叶志红,廖成,张敏,等.基于时域BLT的多导体传输线串扰响应分析[J].强激光与粒子束,2014,26(7):201-204.YE Zhi-hong,LIAO Cheng,ZHANG Min,et al.Analysis of cross-talk responses of multi-conductor transmission lines based on time domain BLT equation[J].High Power Laser and Particle Beams,2014,26(7):201-204.
[8]XIE Hai-yan,LI Yong,QIAO Hai-liang,et al.Empirical formula of effective coupling length for transmission lines illuminated by E1 HEMP[J].IEEE Transactions on Electromagnetic Compatibility,2016,58(2):58-64.
[9]GASPARD L,SERGEY V T,FARHAD R,et al.High-frequency electromagnetic coupling to multiconductor transmission lines of finite length[J].IEEE Transactions on Electromagnetic Compatibility,2015,57(6):1714-1723.
[10]周香,曹玉梅,臧家左.基于BLT方程的外场照射下线缆终端耦合响应分析[J].东南大学学报(自然科学版),2015,45(6):1061-1065.ZHOU Xiang,CAO Yu-mei,ZANG Jia-zuo.Analysis of terminal coupling response of the cable exposed in radiation field based on BLT equation[J].Journal of Southeast University(Natural Science Edition),2015,45(6):1061-1065.
[11]TAYLOR C,SATTERWHITE R,HARRISON C.The response of a terminated two-wire transmission line excited by a nonuniform electromagnetic field[J].IEEETransactions on Antennas and Propagation,1965,13(6):987-989.
[12]VANCE E F.Coupling to shielded cables[M].Melbourne,Australia:R E Krieger,1988.
[13]SUNDE E D.Earth conduction effects in transmission systems[M].New York,USA:Van Nostran,1949.
[14]FREDERICK M T.Comparison of the transmission line and scattering models for computing the HEMP response of overhead cables[J].IEEE Transactions on Electromagnetic Compatibility,1992,34(2):93-99.
[15]DRAGAN P,FARHAD R,SERGEY V T.Generalized form of telegrapher’s equations for the electromagnetic field coupling to finite-length lines above a lossy ground[J].IEEE Transactions on Electromagnetic Compatibility,2007,49(3):689-697.
[16]DRAGAN P,ABDOLHAMID S,FARHAD R,et al.Time-domain generalized telegrapher’s equations for the electro-magnetic field coupling to finite length wires above a lossy ground[J].IEEE Transactions on Electromagnetic Compatibility,2012,54(1):218-224.
[17]FREDERICK M T.On the analysis of a transmission line with nonlinear terminations using the time-dependent BLTequation[J].IEEE Transactions on Electromagnetic Compatibility,2007,49(2):427-433.
[18]王川川,汪连栋,曾勇虎,等.场线耦合问题研究现状及其发展综述[J].电子科学研究院学报,2014,9(4):353-359.WANG Chuan-chuan,WANG Lian-dong,ZENG Yong-hu,et al.The present research and development trend of transmission line system’s coupling with electromagnetic fields[J].Journal of CAEIT,2014,9(4):353-359.
[19]谢莉,雷银照.架空传输线在电偶极子激励下的瞬态电磁响应[J].电工技术学报,2009,24(4):6-13.XIE Li,LEI Yin-zhao.Transient electromagnetic response of overhead transmission line excited by an electric dipole[J].Transactions of China Electrotechnical Society,2009,24(4):6-13.
[20]朱峰,邱日强,牛大鹏,等.基于有源传输线模型的地-架空屏蔽线缆耦合特性分析与参数计算[J].电工技术学报,2016,31(4):22-27.ZHU Feng,QIU Ri-qiang,NIU Da-peng,et al.Coupling characteristic analysis and parameter calculation of ground and above-ground shielded cables based on transmission line with a distributed source model[J].Transactions of China Electrotechnical Society,2016,31(4):22-27.
[21]邱日强,朱峰.有损大地上屏蔽电缆耦合的感应电流分布特性[J].高电压技术,2016,42(8):2451-2456.QIU Ri-qiang,ZHU Feng.Induced current distribution characteristics for the electromagnetic field coupling to shielded cable above a lossy ground[J].High Voltage Engineering,2016,42(8):2451-2456.
[22]HEIKO H,TORSTEN S,JURGEN N.New propagation models for electromagnetic waves along uniform and non-uniform cables[J].IEEE Transactions on Electromagnetic Compatibility,2004,46(3):345-352
[23]EMAD G,MICHEL N.Efficient simulation of non-uniform transmission lines using integrated congruence transform[J].IEEE Transactions on Very Large Scale Integration(VLSI)Systems,2004,12(12):1307-1320
[24]MOHAMMAD K A.Analysis of coupled nonuniform transmission lines using Talor’s series expansion[J].IEEETransac-tions on Electromagnetic Compatibility,2006,48(3):594-600.
[25]贾磊,张亚婷,赵训君,等.非均匀传输线中电磁暂态过程的新型时域算法[J].高电压技术,2009,35(2):430-434JIA Lei,ZHANG Ya-ting,ZHAO Xun-jun,et al.New time domain algorithm for computation of electromagnetic transients in non-uniform transmission line[J].High Voltage Engineering,2009,35(2):430-434.
[26]张卉.非均匀传输线场路特性研究[D].北京:北京交通大学,2008.ZHANG Hui.Research on the field and circuit characteristics of non-uniform transmission line[D].Beijing:Beijing Jiaotong University,2008.
[27]杨清熙,周星,王国庆,等.一种有损非均匀传输线时域分析方法[J].强激光与粒子束,2016,28(11):110-116.YANG Qing-xi,ZHOU Xing,WANG Guo-qing,et al.Equivalent circuit model for transient analysis of lossy non-uniform transmis-sion line network[J].High Power Laser and Particle Beams,2016,28(11):110-116.
[28]CLATON R P,ROBERT T A.Coupling of electromagnetic fields to transmission lines[C]//IEEE International Symposium on Electromagnetic Compatibility.Boulder,Australia:IEEE,1981.