Quasi-modes three-phase transmission line model-transformation matrix equations

This paper describes the quasi-modes three-phase transmission line model, a new model to represent three-phase transmission lines in transient studies, with proper representation of the frequency dependence of longitudinal parameters. A unique transformation matrix the Clarke matrix is used for the entire frequency range. As this matrix is a real one. it can be modeled through ideal transformers. The circuit equations, which lead to the matrix modeling, are presented. This line model can be implemented in any digital program with R, L, C and transformer components.