DocumentCode :
3090189
Title :
Modal Transformation Obtained from Clarke´s Matrix - Asymmetrical Three-phase case
Author :
Prado, A.J. ; Filho, J. Pissolato ; Kurokawa, S. ; Bovolato, L.F.
Author_Institution :
Electr. Eng. Dept., Londrina State Univ., Londrina
fYear :
2007
fDate :
24-28 June 2007
Firstpage :
1
Lastpage :
6
Abstract :
Some constant matrices can be used as phase-mode transformation matrices for transposed three-phase transmission lines. Clarke´s matrix is one of these options. Its application as a phase-mode transformation matrix for untransposed three-phase transmission lines has been analyzed through error and frequency scan comparisons. Based on an actual untransposed asymmetrical three-phase transmission line example, a correction procedure is applied searching for better results from the Clarke´s matrix application as a phase-mode transformation matrix. The error analyses are carried out using Clarke´s matrix and the new transformation matrices obtained from the correction procedure. Applying Clarke´s matrix, the relative errors of the eigenvalue matrix elements can be considered negligible and the relative values of the off-diagonal elements are significant. If the the corrected transformation matrices are used, the relative values of the off-diagonal elements are decreased. Based on the results of these analyses, the homopolar mode is more sensitive to the frequency influence than the two other modes related to three-phase lines.
Keywords :
eigenvalues and eigenfunctions; error analysis; matrix algebra; power transmission lines; Clarkes matrix; asymmetrical three-phase transposed transmission line; eigenvalue matrix; error analysis; homopolar mode; phase-mode transformation matrices; Convolution; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic modeling; Error analysis; Error correction; Frequency dependence; Mathematical model; Transmission line matrix methods; Voltage; Clarke´s matrix; eigenvalue; eigenvector; frequency; mode domain; transformation matrix; transmission lines;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Power Engineering Society General Meeting, 2007. IEEE
Conference_Location :
Tampa, FL
ISSN :
1932-5517
Print_ISBN :
1-4244-1296-X
Electronic_ISBN :
1932-5517
Type :
conf
DOI :
10.1109/PES.2007.385636
Filename :
4275245
Link To Document :
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