This paper shows an alternative modal decomposition procedure of non ideally transposed three-phase transmission lines with a vertical symmetry. The procedure is based in the use of two modal transformation matrices. First, Clarke's matrix is used to separate the line in its <FONT FACE=Symbol>a, b</FONT> and zero components. Because alpha and zero components are mutually coupled they can be represented as being a two-phase line without a vertical symmetry plane. After that this two-phase line is separated in its exact modes by using an adequated modal transformation matrix. The paper describes the characteristics of the two-phase line used to represent the coupled alpha and zero components and it shows the application of the modal decomposition procedure in a 440 kV three-phase transmission line.
Electromagnetic transients; frequency domain; modal analysis; transmission line
