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Sampling techniques in the analysis of Power‐System transients
Author(s) -
McCarthy T. O.
Publication year - 1975
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620090208
Subject(s) - laplace transform , frequency domain , truncation (statistics) , electric power system , electrical impedance , inversion (geology) , computer science , time domain , sampling (signal processing) , algorithm , electronic engineering , power (physics) , mathematics , engineering , mathematical analysis , electrical engineering , telecommunications , physics , paleontology , quantum mechanics , structural basin , machine learning , detector , computer vision , biology
A detailed investigation of analytical approaches to the determination of transients on Power Systems has been undertaken 1 , the main features of which are presented in this paper. The shortcomings of conventional travelling‐wave methods, particularly where long power lines constitute complex sub‐systems, have led to a numerical solution approach based on a discrete form of the Laplace Transform which has been labelled the ‘Fast Laplace Transform’ (FLT). The method allows efficient treatment of a wide variety of linear problems including, in particular, cases involving frequency‐dependent parameters. An examination of continuous evaluation procedures, which are subject to truncation difficulties and to inefficient usage of computer time, is followed by a review of frequency domain sampling methods. 4,5,11 The FLT inversion technique is described with emphasis on the efficient use of computer time. The method is illustrated by application to a number of switching studies and comparison with travelling‐wave solutions is made. Problems involving frequency‐dependent ground impedance, even where ground resistivity varies with depth, are easily simulated.