Behavior of Overhead Transmission Line Parameters on the Presence of Ground Wires

Kurokawa, Sérgio; Filho, José Pissolato; Tavares, Maria Cristina; Portela, C.M.; Prado, Angelo Pires do

doi:10.1109/tpwrd.2004.833916

Cited by 35 publications

(17 citation statements)

References 4 publications

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“…Then obtaining the solution in time domain is simply just a matter of inverse transformation. Wilcox and Condon proposed an inverse transformation method on the basis of ARMA (auto‐regressive‐moving‐average) fitting method to obtain time‐domain model, where ARMA is a statistical model used in several fields to fit model to observed data, while other studies like by Kurokawa et al used modal transformation matrix. In frequency‐domain analysis, as described in the study of Meyer and Dommel, we have to use linear superposition of all the frequency components.…”

Section: Transmission Line Modelingmentioning

confidence: 99%

Inclusion of frequency‐dependent parameters in power transmission lines simulation using harmonic analysis and proper generalized decomposition

Malik

Borzacchiello

Chinesta

et al. 2018

Int J Numerical Modelling

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This study presents the application of proper generalized decomposition on transmission line models involving frequency‐dependent parameters. Frequency dependence of parameters can be due to a number of reasons including phenomena such as “ground return effects,” “proximity effects,” and “skin effects.” In the current study, simplified methods of skin effects based on Bessel functions are used to showcase the method. Although we implement our study using a specific model for skin effects to demonstrate the effectiveness of the proposed method to accommodate frequency‐dependent effects in proper generalized decomposition, the present work is not meant to discuss the merits of any particular skin effects model. The method can easily accommodate other effects, which induces frequency dependence in the transmission line parameters. In time‐domain modeling, the parameters are assumed constant, and these models prove inefficient when incorporating these parameters as function of frequency. Therefore, a frequency‐domain simulation is implemented using harmonic analysis. Proper generalized decomposition (PGD) presents a separated representation and provides a quick and accurate solution for such problems.

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Section: Transmission Line Modelingmentioning

confidence: 99%

Inclusion of frequency‐dependent parameters in power transmission lines simulation using harmonic analysis and proper generalized decomposition

Malik

Borzacchiello

Chinesta

et al. 2018

Int J Numerical Modelling

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“…At this frequency, the electrical parameters of the line are calculated. The series impedance matrix and the shunt admittance matrix per unit length at 2.5 kHz are calculated as follows :

Z = [\begin{matrix} center \\ center 1 .024+ 18 .920i & center 1 .004+ 7 .462i & center 1 .058+ 7 .618i \\ center 1 .004+ 7 .462i & center 1 .156+ 19 .510i & center 1 .131+ 7 .818i \\ center 1 .058+ 7 .618i & center 1 .131+ 7 .818i & center 1 .276+ 19 .786i \end{matrix}] Ω / km

Y = [\begin{matrix} center \\ center 191 .6626i & center - 44 .6917i & center - 44 .2850i \\ center - 44 .6917i & center 189 .9973i & center - 42 .8371i \\ center - 44 .2850i & center - 42 .8371i & center 192 .7089i \end{matrix}] \times 10^{- 6} S/km

…”

Section: Study Casesmentioning

confidence: 99%

“…At this frequency, the electrical parameters of the line are calculated. The series impedance matrix and the shunt admittance matrix per unit length at 2.5 kHz are calculated as follows [12,23,24]: ... According to the fast convergence condition, that is, ||ZY(l/2 k ) 2 || < 1, the long transmission line is divided into 2 k sections.…”

Section: Tests Of the Proposed Approachmentioning

confidence: 99%

Numerical harmonic modeling of long coupled transmission lines using matrix series theory and recursive approach

Weng

2012

Int J Numerical Modelling

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SUMMARY To improve the efficiency of the harmonic analysis, this paper presents a direct phase‐domain harmonic model for long coupled transmission lines, which can take the parameter frequency dependence, the configuration asymmetry, and the untransposition of the line into consideration. The steps of the proposed modeling method are as follows. First, in the direct phase domain and on the basis of the travelling wave equation, the coupled transmission line model was derived in a nodal admittance matrix form. Then the matrix series theory was adopted to realize the numerical calculation of the nodal admittance matrix without relying on the eigenvalue and eigenvector calculations of the propagation matrix. Finally, a recursive approach was proposed to handle the nodal equation of the network containing long transmission lines. Both the accuracy and the efficiency of the proposed approach were verified by comparing with the exact method in which it is necessary to calculate the eigenvalues and eigenvectors of the propagation matrix. The computation time and memory consumption analysis indicates that the proposed approach excels the exact method in saving computation time and memory. It should be emphasized that, by utilizing the recursive approach, the proposed approach is always numerically stable and can also be applied to DC transmission lines. Copyright © 2012 John Wiley & Sons, Ltd.

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“…This means that each exact propagation mode can be represented as a single cascade of π elements and then the modal currents and voltages are obtained from two first-order differential equations, as expressed in (10) and (11).…”

Section: Mutual Coupling Modeling In Transmissionmentioning

confidence: 99%

“…The ground wires are intrinsically represented in the system modeling according with the reference [11].…”

Section: Evaluation Of the Proposed Representationmentioning

confidence: 99%

Mutual coupling modeling in transmission lines directly in the phase domain

Silva

Costa

Kurokawa

et al. 2011

2011 IEEE Electrical Power and Energy Conference

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This paper describes a computational model based on lumped elements for the mutual coupling between phases in three-phase transmission lines without the explicit use of modal transformation matrices. The self and mutual parameters and the coupling between phases are modeled using modal transformation techniques. The modal representation is developed from the intrinsic consideration of the modal transformation matrix and the resulting system of time-domain differential equations is described as state equations. Thus, a detailed profile of the currents and the voltages through the line can be easily calculated using numerical or analytical integration methods. However, the original contribution of the article is the proposal of a time-domain model without the successive phase/mode transformations and a practical implementation based on conventional electrical circuits, without the use of electromagnetic theory to model the coupling between phases.

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Behavior of Overhead Transmission Line Parameters on the Presence of Ground Wires

Cited by 35 publications

References 4 publications

Inclusion of frequency‐dependent parameters in power transmission lines simulation using harmonic analysis and proper generalized decomposition

Inclusion of frequency‐dependent parameters in power transmission lines simulation using harmonic analysis and proper generalized decomposition

Numerical harmonic modeling of long coupled transmission lines using matrix series theory and recursive approach

Mutual coupling modeling in transmission lines directly in the phase domain

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