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

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 cont...

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Main Authors: Jaimis Sajid Leon Colqui, Luis Timaná, Pablo Torrez Caballero, José Pissolato Filho, Sérgio Kurokawa
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/24/9302
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author Jaimis Sajid Leon Colqui
Luis Timaná
Pablo Torrez Caballero
José Pissolato Filho
Sérgio Kurokawa
author_facet Jaimis Sajid Leon Colqui
Luis Timaná
Pablo Torrez Caballero
José Pissolato Filho
Sérgio Kurokawa
author_sort Jaimis Sajid Leon Colqui
collection DOAJ
description 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.
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spelling doaj.art-3dee490ae8d34022b85c285f314a64eb2023-11-24T14:34:23ZengMDPI AGEnergies1996-10732022-12-011524930210.3390/en15249302Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-SimulinkJaimis Sajid Leon Colqui0Luis Timaná1Pablo Torrez Caballero2José Pissolato Filho3Sérgio Kurokawa4School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13083-852, BrazilDepartment of Electronic and Telecommunications Engineering, Catholic University of Colombia, Bogotá 110231, ColombiaSchool of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13083-852, BrazilSchool of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13083-852, BrazilDepartment of Electrical Engineering, São Paulo State University (UNESP), Ilha Solteira 15385-000, BrazilThis 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.https://www.mdpi.com/1996-1073/15/24/9302transmission line modelingNorton equivalentfolded line equivalentelectromagnetic transient
spellingShingle Jaimis Sajid Leon Colqui
Luis Timaná
Pablo Torrez Caballero
José Pissolato Filho
Sérgio Kurokawa
Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink
Energies
transmission line modeling
Norton equivalent
folded line equivalent
electromagnetic transient
title Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink
title_full Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink
title_fullStr Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink
title_full_unstemmed Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink
title_short Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink
title_sort implementation of an alternative frequency dependent three phase transmission line model based on the folded line equivalent model in matlab simulink
topic transmission line modeling
Norton equivalent
folded line equivalent
electromagnetic transient
url https://www.mdpi.com/1996-1073/15/24/9302
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