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This research contributes to developing a time domain and a frequency domain formulations to solve electromagnetic transients in power system with multiconductor overhead transmission lines. The time domain solution introduces a frequency dependent transmission line model "FDLM". For the development of the FDLM a fundamental constraint is added to the classical line equations to maintain the symmetry between electric and magnetic fields. As a result, voltage waves and current waves travel together and the characteristic impedance remains uniform along the line. With this premise, a constant real transformation matrix can be obtained to diagonalize the line functions with high accuracy. This feature can greatly facilitate the line modelling as opposed to the existing line models which require complex frequency dependent transformation matrices for their diagonalization. The use of a single constant real

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