Transient response analysis method of shielded cable based on minimum phase method
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摘要: 为了分析屏蔽电缆在电磁脉冲作用下的时域响应，对基于最小相位法的频域等效方法进行了研究。首先，通过建立转移阻抗测试系统的电路模型，推导系统的频域传递函数，并验证其为最小相位系统与全通系统的级联；其次，采用最小相位法，对测得的幅频曲线进行相位重构，根据推导的传递函数的零、极点分布，对重构的最小相位传递函数进行相位补偿；最后，将补偿后的传递函数与瞬态干扰信号在频域相乘后变换到时域，得到了屏蔽电缆的时域响应。仿真及实验结果验证了该方法的有效性。Abstract: To analyze the transient electromagnetic response of shielded cables in time domain when they are subjected to electromagnetic pulse, a frequency domain equivalent method based on minimum phase method is studied in this paper. First, by establishing the circuit model of the transfer impedance testing system, the transfer function of the system in frequency domain is derived, and it is verified as the cascade of a minimum phase system and an all-pass system. Secondly, the minimum phase of the measured amplitude-frequency curve is reconstructed by using the minimum phase method, then the phase of the reconstructed transfer function is compensated according to the distribution of zeros and poles. Finally, the time domain response of the shielded cable is obtained after multiplying the compensated transfer function with the transient interference signal in frequency domain and transforming into time domain. The effectiveness of the proposed method is verified by simulation and experiment.
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图 4 最小相位法传递函数相位重构流程图
Figure 4. Diagram of phase reconstruction of transfer function based on minimum phase method
图 5 电缆响应传递函数的幅频曲线
Figure 5. Amplitude frequency curve of cable response transfer function
图 6 相位补偿前后传递函数的相位
Figure 6. Phase of transfer function before and after phase compensation
图 7 相位补偿前后的芯线电流
Figure 7. Current of the central conductor before and after phase compensation
图 8 重构的芯线电流与理论电流的比较
Figure 8. Reconstructed current and the theoretical current of the central conductor
图 9 从屏蔽层信号重构芯线电压
Figure 9. Voltage of the central conductor reconstructed from the signal on the shield
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[1] Xie Haiyan, Wang Jianguo, Li Yong, et al. Electromagnetic topology analysis of external pulses interaction with shielded cables using SPICE models[J]. Progress in Electromagnetics Research B, 2013, 51: 119-133. doi: 10.2528/PIERB13031001 [2] 潘晓东, 魏光辉, 李新峰, 等. 同轴电缆强电磁脉冲辐照下的终端负载响应规律[J]. 高电压技术, 2012, 38(11):2828-2835. (Pan Xiaodong, Wei Guanghui, Li Xinfeng, et al. Response law of coaxial cable terminal load under high intensity electromagnetic pulse irradiation[J]. High Voltage Engineering, 2012, 38(11): 2828-2835 [3] 石立华, 周璧华, 陈彬, 等. 基于幅-频曲线的系统时域响应特性评价方法[J]. 电波科学学报, 2000, 15(4):467-471. (Shi Lihua, Zhou Bihua, Chen Bin, et al. Time domain characterization of a system based on the magnitude of its frequency response[J]. Chinese Journal of Radio Science, 2000, 15(4): 467-471 doi: 10.3969/j.issn.1005-0388.2000.04.017 [4] 谢彦召, 王赞基, 王群书, 等. 基于频域幅度谱数据重建电磁脉冲时域波形[J]. 强激光与粒子束, 2004, 16(3):320-324. (Xie Yanzhao, Wang Zanji, Wang Qunshu, et al. Reconstruction of electromagnetic pulse waveform based on the amplitude spectrum data[J]. High Power Laser and Particle Beams, 2004, 16(3): 320-324 [5] 曹景阳, 谢树果, 苏东林. 基于最小相位法重建电磁脉冲时域波形[J]. 电波科学学报, 2011, 26(6):1102-1106. (Cao Jingyang, Xie Shuguo, Su Donglin. Application of minimum phase method in a pulse measurement[J]. Chinese Journal of Radio Science, 2011, 26(6): 1102-1106 [6] Seybold S, Rothenhäusler M. Prediction of aircraft transient level (ATL) by simulation and comparison to frequency-domain measurements using the minimum phase algorithm[C]//10th International Symposium on Electromagnetic Compatibility. York: IEEE, 2011: 500-505. [7] 胡小锋, 陈翔, 张龙. 基于波形重建的开缝小腔体电磁脉冲屏蔽效能仿真分析[J]. 高电压技术, 2015, 41(5):1659-1663. (Hu Xiaofeng, Chen Xiang, Zhang Long. Simulation and analysis of EMP shielding effectiveness of slotted small cavity with waveform reconstruction method[J]. High Voltage Engineering, 2015, 41(5): 1659-1663 [8] 刘敏, 吴刚, 王勇超, 等. 连续波在强电磁脉冲效应中的适用性研究[J]. 电波科学学报, 2018, 33(2):231-236. (Liu Min, Wu Gang, Wang Yongchao, et al. Applicability of continuous wave in strong electromagnetic pulse effect[J]. Chinese Journal of Radio Science, 2018, 33(2): 231-236 [9] Wraight A, Morrow I L, Robinson J, et al. Phase processing techniques for the prediction of induced current[J]. IEEE Transactions on Electromagnetic Compatibility, 2008, 50(3): 612-618. doi: 10.1109/TEMC.2008.924397 [10] Audone B, Audone M, Marziali I. On the use of the minimum phase algorithm in EMC data processing[C]//International Symposium on Electromagnetic Compatibility - EMC EUROPE. Rome: IEEE, 2012: 1-6. [11] Chérif Z E M, Andrieu G, Alberto G, et al. Transfer impedance measurement of shielded cables through localized injection[J]. IEEE Transactions on Electromagnetic Compatibility, 2018, 60(4): 1018-1021. doi: 10.1109/TEMC.2017.2760161 [12] Morriello A, Benson T M, Duffy A P, et al. Surface transfer impedance measurement: a comparison between current probe and pull-on braid methods for coaxial cables[J]. IEEE Transactions on Electromagnetic Compatibility, 1998, 40(1): 69-76. doi: 10.1109/15.659522 [13] 大卫 A.韦斯顿. 电磁兼容原理与应用[M]. 2版. 杨自佑, 王守三, 译. 北京: 机械工业出版社, 2016: 306-308Weston D A. Electromagnetic compatibility principles and applications [M]. 2nd ed. Yang Ziyou, Wang Shousan, trans. Beijing: China Machine Press, 2016: 306-308 [14] Toscani N, Grassi F, Spadacini G, et al. Circuit and electromagnetic modeling of bulk current injection test setups involving complex wiring harnesses[J]. IEEE Transactions on Electromagnetic Compatibility, 2018, 60(6): 1752-1760. doi: 10.1109/TEMC.2018.2794823 [15] Grassi F, Marliani F, Pignari S A. Circuit modeling of injection probes for bulk current injection[J]. IEEE Transactions on Electromagnetic Compatibility, 2007, 49(3): 563-576. doi: 10.1109/TEMC.2007.902385 [16] Orlandi A. Circuit model for bulk current injection test on shielded coaxial cables[J]. IEEE Transactions on Electromagnetic Compatibility, 2003, 45(4): 602-615. doi: 10.1109/TEMC.2003.819060 [17] 杨位钦, 谢锡祺. 自动控制原理[M]. 北京: 电子工业出版社, 1995: 119-122Yang Weiqin, Xie Xiqi. Principle of automatic control[M]. Beijing: Electronic Industry Press, 1995: 119-122 [18] 殷瑞, 万国龙. 数字信号处理[M]. 北京: 清华大学出版社, 2007: 145-147Yin Rui, Wan Guolong. Digital signal processing[M]. Beijing: Tsinghua University Press, 2007: 145-147 -
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