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This paper describes a method for determining the transient voltages and currents in long multiconductor transmission lines using a digitally simulated hybrid computer. A detailed representation of the propagation function is developed to simulate each mode of propagation. This approximation is used to study a three phase ac line and a two pole dc line. Experimental verification of the computer results is obtained from " H" section models of the lines. Finally, a system consisting of an ac line and a dc line on a common right-of-way is analyzed. Computer results showing the voltages induced on the ac line due to a line-to- ground fault on the dc line are provided.