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The 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 a, b and zero. After that,...
Single real transformation matrices can change the Z and Y matrices into diagonal ones for transposed three-phase lines. Considering non-transposed non-symmetrical three-phase lines, the errors between the Clarkepsilas matrix application results (called quasi-modes) and the eigenvectors are negligible. In this text, some other analyses are performed for two line designs. So, the arithmetic media among...
The application of modal transformation models for transmission lines have been analyzed extensively because in mode domain there are facilities in representation of frequency dependent line parameters. Because the determination of exact modal transformation matrices for general cases is not a simple task, simplifications about these applications can be considered. Using non-transposed three-phase...
Clarkepsilas matrix has been applied as a phase-mode transformation matrix to three-phase transmission lines substituting the eigenvector matrices. Considering symmetrical untransposed three-phase lines and the frequency range into 10 kHz, some transient simulations have been made with the application of this single real matrix. An actual symmetrical three-phase line on untransposed conditions is...
Some constant matrices can be used as phase-mode transformation matrices for transposed three-phase transmission lines. Clarke's matrix is one of these options. Its application as a phase-mode transformation matrix for untransposed three-phase transmission lines has been analyzed through error and frequency scan comparisons. Based on an actual untransposed asymmetrical three-phase transmission line...
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