一种有损非均匀传输线时域分析方法
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摘要
提出利用等效电路法解决电磁脉冲注入下有损非均匀传输线及其网络端接非线性负载的时域响应问题。采用分段逼近级联方法建立了有损非均匀传输线的等效电路模型。利用设计的快沿电磁脉冲源对有损非均匀微带线端接电阻、瞬态抑制二极管的响应进行了试验和仿真对比分析,验证了该等效电路模型的正确性和解决非线性负载响应问题上的有效性。通过与FDTD法对更复杂的有损非均匀传输线、不等长有损非均匀传输线、有损非均匀传输线网络的仿真结果和计算机运行时间进行对比分析,进一步验证了该等效电路法的正确性以及在解决有损非均匀传输线问题上的普遍适用性和高效性。
The equipment circuit method is introduced to obtain the transient response of the lossy non-uniform transmission line network with nonlinear terminations.After modifying the equipment circuit model of the lossy transmission line,a lossy nonuniform transmission line equivalent circuit model is introduced in this paper.Meanwhile,the transient responses for a lossy microstrip line with linear and nonlinear terminations excited by the designed electromagnetic pulse source are simulated.The results of the simulations and the experiments are consistent with each other,which verifies that the models are correct.A typical lossy non-uniform transmission line,a typical unequal length lossy non-uniform transmission line,and a typical lossy non-uniform transmission line network are simulated.The simulation results are in good agreement with those of the finite difference time domain(FDTD)method and the conventional lumped method.
The equipment circuit method is introduced to obtain the transient response of the lossy non-uniform transmission line network with nonlinear terminations.After modifying the equipment circuit model of the lossy transmission line,a lossy nonuniform transmission line equivalent circuit model is introduced in this paper.Meanwhile,the transient responses for a lossy microstrip line with linear and nonlinear terminations excited by the designed electromagnetic pulse source are simulated.The results of the simulations and the experiments are consistent with each other,which verifies that the models are correct.A typical lossy non-uniform transmission line,a typical unequal length lossy non-uniform transmission line,and a typical lossy non-uniform transmission line network are simulated.The simulation results are in good agreement with those of the finite difference time domain(FDTD)method and the conventional lumped method.
引文
[1]杨清熙,王庆国,周星,等.快沿脉冲下传输线集总参数电路模型的验证与分析[J].高电压技术,2015,41(1):327-332.(Yang Qingxi,Wang Qingguo,Zhou Xing,et al.Verification and analysis of lumped-circuit approximate model of multiconductor transmission line excited by fast rising pulse.High Voltage Engineering,2015,41(1):327-332)
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[13]Nakhla N,Nakhla M,Achar R.Simplified delay extraction-based passive transmission line macromodeling algorithm[J].IEEE Trans Advanced Packaging,2010,33(2):498-509.
[14]Nakhla N M,Dounavis A,Achar R,et al.DEPACT:Delay extraction-based passive compact transmission-line macromodeling algorithm[J].IEEE Trans Advanced Packaging,2005,28(1):13-23.
[15]Tang M,Mao J.A precise time-step integration method for transient analysis of lossy nonuniform transmission lines[J].IEEE Trans Electromagnetic Compatibility,2008,50(1):166-174.
[16]齐磊,卢铁兵,崔翔.端接非线性负载的非均匀传输线瞬态分析[J].电波科学学报,2003,18(2):153-156.(Qi Lei,Lu Tiebing,Cui Xiang.Transient analysis for nonuniform transmission lines with nonlinear loads.Chinese Journal of Radio Science,2003,18(2):153-156)
[17]Afrooz K,Abdipour A.Efficient method for time-domain analysis of lossy nonuniform multiconductor transmission line driven by a modulated signal using FDTD technique[J].IEEE Trans Electromagnetic Compatibility,2012,54(2):482-494.
[18]Dou L,Dou J.Sensitivity analysis of lossy nonuniform multiconductor transmission lines with nonlinear terminations[J].IEEE Trans Advanced Packaging,2010,33(2):492-497.
[19]Yang Qingxi,Wang Qingguo,Zhou Xing,et al.Design and simulation of solid state pulser with fast rise time and double-exponential waveform[J].High Voltage Engineering,2014,40(1):237-241.
[2]杨清熙,王庆国,周星,等.有耗地面上架空线缆串扰研究等效电路模型[J].强激光与粒子束,2015,27:083201.(Yang Qingxi,Wang Qingguo,Zhou Xing,et al.Equivalent circuit for research on crosstalk of transmission lines above lossy ground.High Power Laser and Particle Beams,2015,27:083201)
[3]彭强,周东方,侯德亭,等.基于BLT方程的微带线电磁耦合终端响应[J].强激光与粒子束,2013,4(5):1241-1246.(Peng Qiang,Zhou Dongfang,Hou Deting,et al.Electromagnetic coupling terminal response for microstrip line based on BLT equation.High Power Laser and Particle Beams,2013,4(5):1241-1246)
[4]谢彦召,王赞基,王群书.地面附近架高线缆HEMP响应计算的Agrawal和Taylor模型比较[J].强激光与粒子束,2005,17(4):575-580.(Xie Yanzhao,Wang Zanji,Wang Qunshu.Comparison of Agrawal and Taylor models for response calculations of aboveground cable excited by HEMP.High Power Laser and Particle Beams,2005,17(4):575-580)
[5]谢海燕,王建国,范如玉,等.外场激励下腔内屏蔽电缆响应的方法研究[J].强激光与粒子束.2009,21(4):569-573.(Xie Haiyan,Wang Jianguo,Fan Ruyu,et al.A mixed method for responses of cables within a cavity excited by external electromagnetic field.High Power Laser and Particle Beams,2009,21(4):569-573)
[6]Tesche F M.On the analysis of a transmission line with nonlinear terminations using the time-dependent BLT equation[J].IEEE Trans Electromagnetic Compatibility,2007,49(2):427-433.
[7]Tesche F M.Development and use of the BLT equation in the time domain as applied to a coaxial cable[J].IEEE Trans Electromagnetic Compatibility,2007,49(1):3-11.
[8]Paul C R.A SPICE model for multiconductor transmission lines excited by an incident electromagnetic field[J].IEEE Trans Electromagnetic Compatibility,1994,36(4):342-354.
[9]Nakhla N M.Waveform relaxation and transverse partitioning algorithms for simulation of massively coupled interconnects[D].Ottawa:Carleton University,2009.
[10]Shinh G S,Nakhla N M,Achar R,et al.Fast transient analysis of incident field coupling to multiconductor transmission line[J].IEEE Trans Electromagnetic Compatibility,2006,48(1):57-73.
[11]Shinh G S,Achar R,Nakhla N M,et al.Simplified macromodel of MTLs with incident fields(SiMMIF)[J].IEEE Trans Electromagnetic Compatibility,2008,50(2):375-389.
[12]Paul C R.Analysis of multiconductor transmission lines[M].Hoboken:John Wiley&Sons,2007.
[13]Nakhla N,Nakhla M,Achar R.Simplified delay extraction-based passive transmission line macromodeling algorithm[J].IEEE Trans Advanced Packaging,2010,33(2):498-509.
[14]Nakhla N M,Dounavis A,Achar R,et al.DEPACT:Delay extraction-based passive compact transmission-line macromodeling algorithm[J].IEEE Trans Advanced Packaging,2005,28(1):13-23.
[15]Tang M,Mao J.A precise time-step integration method for transient analysis of lossy nonuniform transmission lines[J].IEEE Trans Electromagnetic Compatibility,2008,50(1):166-174.
[16]齐磊,卢铁兵,崔翔.端接非线性负载的非均匀传输线瞬态分析[J].电波科学学报,2003,18(2):153-156.(Qi Lei,Lu Tiebing,Cui Xiang.Transient analysis for nonuniform transmission lines with nonlinear loads.Chinese Journal of Radio Science,2003,18(2):153-156)
[17]Afrooz K,Abdipour A.Efficient method for time-domain analysis of lossy nonuniform multiconductor transmission line driven by a modulated signal using FDTD technique[J].IEEE Trans Electromagnetic Compatibility,2012,54(2):482-494.
[18]Dou L,Dou J.Sensitivity analysis of lossy nonuniform multiconductor transmission lines with nonlinear terminations[J].IEEE Trans Advanced Packaging,2010,33(2):492-497.
[19]Yang Qingxi,Wang Qingguo,Zhou Xing,et al.Design and simulation of solid state pulser with fast rise time and double-exponential waveform[J].High Voltage Engineering,2014,40(1):237-241.