Abstract
Electromagnetic transients are responsible for overvoltages and overcurrents that can have a negative impact on the insulating elements of the electrical transmission system. In order to reduce the damage caused by these phenomena, it is essential to accurately simulate the effect of transients along transmission lines. Nonuniformities of transmission line parameters can affect the magnitude of voltage transients, thus it is important to include such nonuniformities correctly. In this paper, a frequency domain method to compute transient voltage and current profiles along nonuniform multiconductor transmission lines is described, including the effect of time-varying and nonlinear elements. The model described here utilizes the cascade connection of chain matrices in order to take into consideration the nonuniformities along the line. This technique incorporates the change of parameters along the line by subdividing the transmission line into several line segments, where each one can have different electrical parameters. The proposed method can include the effect of time-dependent elements by means of the principle of superposition. The numerical Laplace transform is applied to the frequency-domain solution in order to transform it to the corresponding time-domain response. The results obtained with the proposed method were validated by means of comparisons with results computed with ATP (Alternative Transients Program) simulations, presenting a high level of agreement.
Highlights
Electromagnetic transients can produce overvoltages and overcurrents that can have a negative impact on electric power systems
This difficulty is due to the fact that the nonuniformities are typically in this paper) is a challenging task. This difficulty is due to the fact that the nonuniformities are approximated by cascade-connecting several smallseveral line segments
[6]), which may translate into excessive simulation times and the saturation of the traveling time of the line segments [6]), which may translate into excessive simulation times and the software’s available as available was the case in this work
Summary
Electromagnetic transients can produce overvoltages and overcurrents that can have a negative impact on electric power systems. Previous works have presented line models applying different techniques such as the numerical Laplace transform, the method of characteristics, rational approximations, among others, with good results [5,6,7,8,9,10,11,12] In general, these methods are only able to provide voltage and current information at the ends of the line, which in some cases may not be enough to correctly analyze the transient behavior of a transmission line [2], such as for insulation design or protection purposes. The method presented here makes use of the inverse numerical Laplace transform [17,18] to convert the computed frequency domain solution to a time-domain transient response This method has strong potential for application in fault location and insulation coordination, with particular accuracy benefits for lines with prominent nonuniformities, such as river crossings, hilly terrains, and other substantial sagging conditions, which are commonly encountered in large countries such as. The computation of transient profiles along nonuniform transmission lines including nonlinear and time-varying conditions has not been previously reported, providing an original contribution to the current state of the art of the topic
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