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A method of analysis convenient for the simulation of transposed and untransposed transmission systems is set forth, and the facility of the hybrid computer in studying the traveling waves on these systems is illustrated. In particular, computer results are given showing the electric transients during line charging of a 3-phase, transposed system as well as the traveling waves on transposed and untransposed 3- phase systems during 3-phase and line-to-ground faults. Also presented are computer results showing the line-charging transients of two mutual- ly coupled, untransposed, 3-phase transmission systems. The material presented in this paper should permit a broader base from which to evaluate the various methods of analysis and simulation of traveling waves on transmission systems.