Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink

Jaimis Sajid Leon Colqui (), Luis Timaná, Pablo Torrez Caballero, José Pissolato Filho and Sérgio Kurokawa
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Jaimis Sajid Leon Colqui: School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13083-852, Brazil
Luis Timaná: Department of Electronic and Telecommunications Engineering, Catholic University of Colombia, Bogotá 110231, Colombia
Pablo Torrez Caballero: School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13083-852, Brazil
José Pissolato Filho: School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13083-852, Brazil
Sérgio Kurokawa: Department of Electrical Engineering, São Paulo State University (UNESP), Ilha Solteira 15385-000, Brazil

Energies, 2022, vol. 15, issue 24, 1-18

Abstract: This paper proposes an alternative multiconductor transmission line model that combines the folded line equivalent with the modal transformation. The folded line equivalent decomposes the nodal admittance matrix of a transmission line into its open-circuit and short-circuit contributions. These contributions are fitted to rational functions, which are associated with Norton equivalent circuits based on their state space models. The proposed model uses an orthogonal matrix to transform voltages and currents from the phase domain to the folded line equivalent domain and vice versa. Because the transformation matrix is orthogonal, we represent it using ideal transformers in simulation software. First, we use a circuit representation of Clarke’s matrix to decompose a transmission line into its modes. Then, each mode is decomposed into its open-circuit and short-circuit contributions using a circuit implementation of the proposed matrix. The proposed approach can accurately represent short lines in simulations with time steps equal to or greater than the propagation time of the transmission line. We compare the results obtained with the proposed approach to those obtained with power systems computer-aided design/electromagnetic transients including the DC universal line model.

Keywords: transmission line modeling; Norton equivalent; folded line equivalent; electromagnetic transient (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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