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为了更真实地反映传输线终端响应,本文推导了一种通过求解传输线网络节点导纳方程求解终端响应的格林函数法。为验证该方法的正确性与实用性,将其与数值拉普拉斯反变换法(NILT)求解传输线终端响应方法进行了对比,分别用上述两种方法对无损终端匹配及有损终端不匹配传输线瞬态电压响应进行了仿真。经对比看出,格林函数方法仿真结果与实际终端响应的吻合度非常好,误差较小,波形稳定;而数值拉普拉斯反变换的方法,在零点附近有很大的冲击及微弱振荡,在仿真结果后期有明显的衰减,中期的误差近似呈正弦变化,后期误差明显增大,难以反映实际终端响应。所以格林函数法更适用于传输线的时域终端响应分析,比NILT方法更具优势。
In order to more truly reflect the transmission line termination response, this paper derives a Green’s function method to solve the terminal response by solving the admittance equation of the node of transmission line network. In order to verify the correctness and practicability of this method, we compare it with the numerical Laplacian inverse transform (NILT) to solve the transmission line termination response method, and use the above two methods respectively for non-destructive termination matching and lossy termination mismatch Transmission line transient voltage response was simulated. The comparison shows that the simulation results of Green’s function method are in good agreement with the actual terminal response, the error is small and the waveform is stable. However, the numerical inverse Laplace transform method has a great impact and weak oscillation around the zero point, In the latter part of the simulation results, there is obvious attenuation. The error in the medium term changes sinusoidally and the error in the latter part increases obviously, which makes it difficult to reflect the actual terminal response. Therefore, Green’s function method is more suitable for the analysis of the time-domain terminal response of the transmission line and has more advantages than the NILT method.