Publication Details
Telegraph Equation and its Application in Medium Voltage Line
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Topolánek David, doc. Ing., Ph.D. (FEEC BUT)
Vopěnka Václav, Ing. (DITS FIT BUT)
Telegraph equation; Differential equations;
Modern Taylor Series Method; Stiff systems
Taylor series method for solving differential equations represents
a non-traditional way of a numerical solution. Even though this method is not much preferred in the literature, experimental calculations done at the Department of Intelligent Systems of the Faculty of Information Technology of TU Brno have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. This paper deals with numerical solution of Telegraph equation using modeling of a series small pieces of the wire. Corresponding differential equations are solved by the Modern Taylor Series Method. As the solution is represented by a stiff problem, implicit numerical methods are presented.
@INPROCEEDINGS{FITPUB9916,
author = "Ji\v{r}\'{i} Kunovsk\'{y} and V\'{a}clav \v{S}\'{a}tek and David Topol\'{a}nek and V\'{a}clav Vop\v{e}nka",
title = "Telegraph Equation and its Application in Medium Voltage Line",
pages = "175--180",
booktitle = "Proceeding of the 13th International Scientific Conference Electric Power Engineering 2012",
year = 2012,
location = "Brno, CZ",
publisher = "Faculty of Electrical Engineering and Communication BUT",
ISBN = "978-80-214-4514-7",
language = "english",
url = "https://www.fit.vut.cz/research/publication/9916"
}