Proposal of a Transmission Line Model Based on Lumped Elements: An Analytic Solution

Kurokawa, Sérgio; Costa, Éder Silva; Pissolato, J.; Prado, Angelo Pires do; Bovolato, L.F.

doi:10.1080/15325008.2010.492450

Cited by 18 publications

(25 citation statements)

References 14 publications

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“…However, when a symmetrical line configuration is considered, a constant and real matrix can be used instead the exact one as a function of the frequency [6,8]. Then, the matrices [R' m ], [L' m ] and [C' m ] are composed of resistances, inductances and capacitances in the modal domain and are expressed as follows:…”

Section: Mutual Coupling Modeling In Transmissionmentioning

confidence: 99%

“…Therefore, when the coupling between components α, β and zero are neglected, these components can be represented as single-phase lines and easily represented in state space using lumped electrical components [6].…”

Section: Mutual Coupling Modeling In Transmissionmentioning

confidence: 99%

“…After the line decoupling, the currents and voltages at the terminals of the modes are calculated. Finally, by using an adequate modal transformation matrix, the currents and the voltages are converted again to the phase domain [6].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Mutual Coupling Modeling In Transmissionmentioning

confidence: 99%

Section: Mutual Coupling Modeling In Transmissionmentioning

confidence: 99%

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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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“…There is a renewed interest on modeling TLs [1][2][3][4] and measurement of its parameters as seen from recent publications in the open literature [5,6]. Some of these studies have described at length the mathematical modeling of TLs [1][2][3][4], taking into account ground wires, frequency dependency of parameters, etc. Special techniques have been used that may increase computer runtime with accumulated errors as it involves a large number of numerical calculations.…”

Section: Introductionmentioning

confidence: 99%

Design, Analysis, Fabrication, and Testing of Laboratory Model of Transmission Line

Murali¹,

Pande²,

Gopalakrishnan³

2015

Electric Power Components and Systems

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“…This model can also be described as the equations of state and be used independently without the need to have a program type EMTP [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Model of Three-Phase Transmission Line with the Theory of Modal Decomposition Implied

Silva¹,

Kurokawa²

2013

EPE

Self Cite

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This paper shows the development of transmission line model, based on lumped element circuit that provides answers directly in the time and phase domain. This model is valid to represent the ideally transposed line, the phases of each of the small line segments are separated in their modes of propagation and the voltage and current are calculated at the modal domain. However, the conversion phase-mode-phase is inserted in the state equations which describe the currents and voltages along the line of which there is no need to know the user of the model representation of the theory in the line modal domain.

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Proposal of a Transmission Line Model Based on Lumped Elements: An Analytic Solution

Cited by 18 publications

References 14 publications

Mutual coupling modeling in transmission lines directly in the phase domain

Mutual coupling modeling in transmission lines directly in the phase domain

Design, Analysis, Fabrication, and Testing of Laboratory Model of Transmission Line

Model of Three-Phase Transmission Line with the Theory of Modal Decomposition Implied

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