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In this paper, two methods for analyzing nonuniform multiconductor transmission lines in the frequency domain are considered. The first one is based on the cascaded connection of chain matrices of uniform line segments. In the second method, a space-variant linear system is solved. Besides, a technique to introduce the effect of incident electromagnetic fields into the nonuniform line model is presented. To obtain the solution in the time domain, the numerical laplace transform (NLT) is applied. Several application examples are analyzed, and comparisons with the ATP/EMTP and with experimental measurements published elsewhere are provided.