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Full-space conformal mapping for the calculation of the parameters of overhead transmission lines and underground cables

This thesis presents a method to obtain the per-unit-length electrical parameters of a given overhead transmission line or underground cable in an unbounded space considering the effect of the ground. This is achieved using a two-dimensional conformal mapping technique, which consists of a modified bilinear transformation to map a semi-open half-space problem into a unit circle. The Helmholtz equations describing the quasi-stationary approximation for the electromagnetic field behaviour are solved using finite element method, with the aid of commonly used commercial software program, COMSOL Multiphysics. The per-unit-length resistance, inductance and capacitance are calculated using the proposed mapping method, the truncation of the original space method and then compared with the analytical solution obtained from Carson's approximation for the overhead lines and Wedepohl's formulation for the underground cables. / October 2016

Identiferoai:union.ndltd.org:MANITOBA/oai:mspace.lib.umanitoba.ca:1993/31733
Date13 September 2016
CreatorsSmith Rodriguez, Edison Manuel
ContributorsKordi, Behzad (Electrical and Computer Engineering) Gole, Aniruddha (Electrical and Computer Engineering)., Mojabi, Puyan (Electrical and Computer Engineering) Asadzadeh, Masoud (Civil Engineering)
Source SetsUniversity of Manitoba Canada
Detected LanguageEnglish

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