This thesis proposes a general method for analyzing fault transients on a power transmission line. The method represents an advance over competing methods in two important ways: (1) it uses a modal transformation that uncouples the line differential equations even when the lines are physically untransposed, and (2) a sequence of transformations is developed that couples the generator equations with the line equations. This makes it possible to avoid the approximation of sending-end boundary conditions, and it does this without adding appreciably to computational effort;The combined system equations of the transmission line, generator, transformer, and load are solved in the frequency domain and then converted to the time domain. A computer program is written in FORTRAN to test the proposed solution and investigate the validity of different assumptions. Numerous fault transient studies were made on a typical power system for different types of fault at different locations. From these analyses, conclusions are obtained concerning the effect of fault location, type of fault, generator size, and load level on the current and voltage waveforms.