Abstract
The objective of this letter is to propose an alternative modal representation of a nontransposed three-phase transmission line with a vertical symmetry plane by using two transformation matrices. Initially, Clarke's matrix is used to separate the line into components alpha,beta, and zero. Because alpha and zero components are not exact modes, they can be considered as being a two-phase line that will be decomposed in its exact modes by using a 2times2 modal transformation matrix. This letter will describe the characteristics of the two-phase line before mentioned. This modal representation is applied to decouple a nontransposed three-phase transmission line with a vertical symmetry plane whose nominal voltage is 440kV
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