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L. M. Wedephol, H. V. Nguyen and G. D. Irwin, “Frequency-Dependent Transformation Matrices for Untransposed Transmission Lines Using Newton-Raphson Method,” IEEE Transactions on Power Systems, Vol. 11, No. 3, 1996, pp. 1538-1546. doi:10.1109/59.535695

has been cited by the following article:

• TITLE: An Alternative Three-phase Transmission Lines Model in Phase Domain

  AUTHORS: C. G. Carvalho, S. Kurokawa, J. Pissolato

  KEYWORDS: Transmission Lines; Frequency Dependence; Modal Representation; Transformation Matrix; Newton-Raphson; Phase Domain

  JOURNAL NAME: Energy and Power Engineering, Vol.5 No.4B, November 21, 2013

  ABSTRACT: The objective of this paper is to show an alternative model of a non-transposed three-phase transmission line with a vertical symmetry plane in phase domain. Due the line physical characteristics, it can be represented by a system consisting of a single?phase and a two-phase line. In this system, the equations describing the behavior of the values in single-phase line terminals are known, while the equations for two-phase line to be obtained. Using a transformation matrix written explicitly according to three-phase line parameters, it is possible to obtain the currents and voltages in phase domain of two-phase line. Then, modal values of three-phase line are converted into phase domain and thus obtain the analytical model for this line. To verify the performance of this model, it was used to simulate the energization of a 440 kV three-phase line and the results were compared to results obtained using a classical model.