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弯曲型输电线电磁耦合的时域建模分析方法

Time Domain Modeling Analytic Method for Electromagnetic Coupling of Curved Transmission Lines
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摘要 针对输电线弧垂弯曲的结构特点,根据坐标变换,结合Agrawal场线耦合模型和时域有限差分(Finite Difference Time Domain,FDTD)方法,提出了一种高效的时域混合算法,实现任意方位弯曲型输电线电磁耦合的快速计算。根据平抛物线方程,推导了空间任意分布的弯曲型输电线沿线各点的位置坐标。使用Agrawal模型的传输线方程,构建空间电磁场作用弯曲输电线的电磁耦合模型。应用FDTD的中心差分格式对传输线方程进行差分离散,迭代求解得出输电线沿线各点的瞬态电压和电流响应。通过对电磁脉冲作用地面上单根和多根弯曲输电线的电磁耦合进行数值模拟,将时域混合算法的模拟结果与矩量法(Method of Moment,MOM)相比较,验证了该算法的正确性和高效性。 At present,numerical methods used for the coupling analysis of curved transmission lines excited by space electromagnetic fields are still rare.According to the structural characteristics of the sag of transmission lines,and combining Agrawal field-to-line coupling model and Finite Difference Time Domain(FDTD)method,an efficient time domain hybrid method is proposed,which can achieve fast calculation of electromagnetic coupling of curved transmission lines in arbitrary location.Firstly,according to the flat parabolic equation,the position coordinates of each point along the curved transmission lines with arbitrary spatial location are derived.Then the transmission line equation of Agrawal model is used to construct the electromagnetic coupling model of curved transmission lines which are affected by space electromagnetic field.Finally,center difference scheme of FDTD is employed to discretize the transmission line equations to iterate to the transient voltage and current responses of each point along transmission lines.To verify the accuracy and efficiency of the proposed method,two cases about transmission lines with different locations on the ground radiated by electromagnetic pulse are simulated via the hybrid method.The results are compared with that of Method of Moment(MOM),which verifies the correctness and efficiency of the method.
作者 叶志红 石艳超 吴小林 YE Zhihong;SHI Yanchao;WU Xiaolin(School of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)
出处 《无线电工程》 北大核心 2022年第10期1821-1827,共7页 Radio Engineering
基金 重庆市教委科学技术研究项目(KJQN202000637)。
关键词 弯曲型输电线 平抛物线方程 Agrawal模型 时域有限差分法 curved transmission lines flat parabolic equation Agrawal model finite difference time domain method
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