Abstract
This paper presents a methodology based on the Discrete Time Fourier Series (DTFS) to solve electromagnetic transients in power systems with multiconductor transmission lines. The proposed methodology is based on the correct specification of the time and frequency windows. The time window is chosen with sufficient width to allow the time constants of the transients to decay to a small value and the frequency window width is determined by the maximum frequency of the transient. The proposed DTFS method is simpler to use than the numerical Laplace transform (NLT), which has been traditionally used for frequency-domain solutions of power system transients, and can achieve similar levels of accuracy without requiring user intervention to specify the value of the damping factor and filtering windows required in the NLT. The results from the DTFS are compared with results from the most-accepted frequency-dependent transmission line models in the Electro-Magnetic Transients Program (EMTP): the fdLINE (JMARTI) model and the Universal Line Model (ULM) for asymmetrical double-circuit line configurations under unbalanced faults conditions.
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