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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MDPI AG
2022-12-01
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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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format | Article |
id | doaj.art-3dee490ae8d34022b85c285f314a64eb |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-03-09T16:56:31Z |
publishDate | 2022-12-01 |
publisher | MDPI AG |
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series | Energies |
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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