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Volume 15
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10.3390/en15249302
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Article

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

by
Jaimis Sajid Leon Colqui
1,*,
Luis Timaná
2,
Pablo Torrez Caballero
1,3,
José Pissolato Filho
1 and
Sérgio Kurokawa
4
1
School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13083-852, Brazil
2
Department of Electronic and Telecommunications Engineering, Catholic University of Colombia, Bogotá 110231, Colombia
3
Research and Development Center in Telecommunications (CPQD), Campinas 13086-902, Brazil
4
Department of Electrical Engineering, São Paulo State University (UNESP), Ilha Solteira 15385-000, Brazil
*
Author to whom correspondence should be addressed.
Energies 2022, 15(24), 9302; https://doi.org/10.3390/en15249302
Submission received: 5 February 2022 / Revised: 28 February 2022 / Accepted: 9 March 2022 / Published: 8 December 2022
(This article belongs to the Topic Power System Modeling and Control, 2nd Edition)
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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 transmission line modeling; Norton equivalent; folded line equivalent; electromagnetic transient

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MDPI and ACS Style

Leon Colqui, J.S.; Timaná, L.; Caballero, P.T.; Pissolato Filho, J.; Kurokawa, S. Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink. Energies 2022, 15, 9302. https://doi.org/10.3390/en15249302

AMA Style

Leon Colqui JS, Timaná L, Caballero PT, Pissolato Filho J, Kurokawa S. Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink. Energies. 2022; 15(24):9302. https://doi.org/10.3390/en15249302

Chicago/Turabian Style

Leon Colqui, Jaimis Sajid, Luis Timaná, Pablo Torrez Caballero, José Pissolato Filho, and Sérgio Kurokawa. 2022. "Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink" Energies 15, no. 24: 9302. https://doi.org/10.3390/en15249302

APA Style

Leon Colqui, J. S., Timaná, L., Caballero, P. T., Pissolato Filho, J., & Kurokawa, S. (2022). Implementation of an Alternative Frequency-Dependent Three-Phase Transmission Line Model Based on the Folded Line Equivalent Model in MatLab-Simulink. Energies, 15(24), 9302. https://doi.org/10.3390/en15249302

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