DocumentCode :
3075930
Title :
Representation of transmission lines in modal domain using analytical transformation matrices
Author :
Carvalho, C.G. ; Souza, N.V. ; Kurokawa, S. ; Pissolato, J.
Author_Institution :
Unesp - Univ. Estadual Paulista, Ilha Solteira, Brazil
fYear :
2010
fDate :
8-10 Nov. 2010
Firstpage :
50
Lastpage :
56
Abstract :
The phases of a transmission line are tightly coupled due to mutual impedances and admittances of the line. One way to accomplish the calculations of currents and voltages in multi-phase lines consists in representing them in modal domain, where its n coupled phases are represented by their n propagation modes. The separation line in their modes of propagation is through the use of a modal transformation matrix whose columns are eigenvectors associated with the parameters of the line. Usually, this matrix is achieved through numerical methods which does not allow the achievement of an analytical model for line developed directly in the phases domain. This work will show the modal transformation matrix of a hypothetical two-phase obtained with numerical and analytical procedures. It will be shown currents and voltage s at terminals of the line taking into account the use of modal transformation matrices obtained by using numerical and analytical procedures.
Keywords :
eigenvalues and eigenfunctions; modal analysis; transmission line matrix methods; analytical transformation matrix; eigenvector; line admittance; modal domain; modal transformation matrix; mutual impedance; numerical method; transmission line; Eigenvalues and eigenfunctions; Equations; Mathematical model; Matrix converters; Matrix decomposition; Power transmission lines; Transmission line matrix methods; Modal domain; Newton-Raphson; transformation matrix; transmission line; two-phase line;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Transmission and Distribution Conference and Exposition: Latin America (T&D-LA), 2010 IEEE/PES
Conference_Location :
Sao Paulo
Print_ISBN :
978-1-4577-0488-8
Type :
conf
DOI :
10.1109/TDC-LA.2010.5762860
Filename :
5762860
Link To Document :
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