Kurokawa, Sérgio [UNESP]Daltin, Rodrigo S. [UNESP]Prado, Afonso J. [UNESP]Bovolato, Luiz F. [UNESP]Pissolato, José2014-05-272014-05-272006-12-012006 IEEE PES Transmission and Distribution Conference and Exposition: Latin America, TDC'06. Vols 1-3. New York: IEEE, p. 491-496, 2006.http://hdl.handle.net/11449/69264The objective of this paper is to show an alternative representation in time domain of a non-transposed three-phase transmission line decomposed in its exact modes by using two transformation matrices. The first matrix is Clarke's matrix that is real, frequency independent, easily represented in computational transient programs (EMTP) and separates the line into Quasi-modes α, β and zero. After that, Quasi-modes α and zero are decomposed into their exact modes by using a modal transformation matrix whose elements can be synthesized in time domain through standard curve-fitting techniques. The main advantage of this alternative representation is to reduce the processing time because a frequency dependent modal transformation matrix of a three-phase line has nine elements to be represented in time domain while a modal transformation matrix of a two-phase line has only four elements. This paper shows modal decomposition process and eigenvectors of a non-transposed three-phase line with a vertical symmetry plane whose nominal voltage is 440 kV and line length is 500 km. © 2006 IEEE.491-496engElectromagnetic transients analysisfrequency domain analysistime domain analysistransmission line matrix methodsAlternative proceduresClarke's matrixElectro-magnetic transientFrequency dependentFrequency domainsFrequency independentmatrixModal decompositionModal transformationNominal voltageProcessing TimeSymmetry planesThree-phase linesTime domainTransformation matricesTransmission lineCurve fittingElectric linesFrequency domain analysisLinear transformationsModal analysisTransient analysisTransmission line theoryTime domain analysisTrabalho apresentado em evento10.1109/TDCLA.2006.311633WOS:000246244800090Acesso aberto2-s2.0-82955175461483084523054922378706478550058200000-0001-5716-6827