Waves and complex power in transmission lines

Leva, Sonia; Morando, A.P.

doi:10.1109/tpwrd.2003.817746

Cited by 5 publications

(10 citation statements)

References 7 publications

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“…7 shows the obtained space-time evolution of the Park voltage and current seen by the fixed and synchronous axis. 6 Fig. 8 shows the Park voltage at the input 0 and at the output of the line.…”

Section: Studied Casesmentioning

confidence: 99%

“…In previous papers [4], [6], the authors applied the Park transformation to study the wave propagation of TEM three-phase Manuscript physically symmetrical lines. The structure of the obtained three-phase equations is similar to that of the single-phase configuration: the employed quantities, real in the single-phase two-wire case, become complex.…”

Section: Introductionmentioning

confidence: 99%

“…This procedure is still valid in the general Park formulation case (6). On this subject, with reference to the fixed axis procedure, the Heaviside operator must be substituted with the Park operator .…”

Section: Introductionmentioning

confidence: 99%

“…All harmonic currents produced by the converter have been assumed to be in phase with the fundamental voltage 6. The real part v (z; t) and i (z; t) are proportional to the phase component v (z; t) and i (z; t) (Appendix A).For this case study, the use of the lumped model could introduce some errors.…”

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confidence: 99%

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Analysis of Physically Symmetrical Lossy Three-Phase Transmission Lines in Terms of Space Vectors

Leva

Morando

2006

IEEE Trans. Power Delivery

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The analysis of the three-phase transverse-electromagnetic (TEM) line based on the Park approach represents, under the theoretical and the applicative point of view, an important analytical tool. For these reasons, this paper presents the analysis of lossy (quasi-TEM) three-phase transmission lines in terms of three-phase vectors, based on the Park transformation. The three-phase transmission-line transient analysis presented in this paper emphasizes the conceptual contents specific to the Park approach. Furthermore, applied to some examples, it gives very important results for the practical analysis of a lossy three-phase transmission line.

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Section: Studied Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Analysis of Physically Symmetrical Lossy Three-Phase Transmission Lines in Terms of Space Vectors

Leva

Morando

2006

IEEE Trans. Power Delivery

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“…Propagation of travelling-wave components along uninterrupted uniform TL segments and reflection effects due to impedance mismatches are the elemental phenomena, which have already been partially addressed in previous articles, e.g., [73][74][75][76][77][78][79][80][81]. However, no generalised approach has up to now been presented that would reveal the exact correspondence with the standard FD analysis and provide a sound basis for time-response simulation, and here is where novelty of this work lies in, i.e., that the MTL network response and the performance parameters are determined not as the result of any numerical FD-to-TD transformation or/and numerical approximation of the MTL equations, but through analytical elaboration of the multipath propagation process that is the actual (physical) response mechanism, allowing thus (a) interlinking between the actual propagating components or/and the dominant groups of such components and the network topology, as well as (b) tracing back along the route of every single such component.…”

Section: Introductionmentioning

confidence: 95%

Travelling-Wave Modelling of Uniform Multi-Conductor Transmission Line Networks --- Part I: Analytical Derivation

Papaleonidopoulos¹,

Theodorou²,

Capsalis³

2013

PIER B

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Abstract-In Part I of this work, analysis of uniform multi-conductor transmission line networks is performed on travelling-wave basis, via "quasi-TEM" approach. Narrowband interpretation of the modal theory in the time domain and quantification of the multiple reflections effect are both included. Theoretical demonstration and analytical formulation are provided, along with guidelines towards computational implementation. Any network formed of lossy, diagonalisable uniform multi-conductor transmission lines of either distinct or degenerate eigenvalues is covered. This work applies especially in the field of Power-Line Communications, as High-Frequency transmission over the power electric network is dominated by multipath propagation.

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Lossy three‐phase transmission line transient analysis by Park approach

Leva

Morando

2005

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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PurposeTo provide a unified analytical tool, based on Park transformation, for the theoretical and practical analysis of a lossy three‐phase transmission line.Design/methodology/approachThe results obtained in the study of TEM waves propagation in two‐wire line can be extended to a symmetric m‐wire line by employing the modal analysis. This approach relates the dynamic of m‐wire guided field to the propagation of m modal voltages and currents acting on m single‐wire decoupled transverse electromagnetic (TEM) lines. In the symmetric three‐phase system case, the modal analysis includes, as a particular case for m=3, the symmetric component theory. In previous papers, the authors applied the Park transformation to study the wave propagation of (TEM) three‐phase symmetrical lines. The formulation proposed and tested considers the lossless TEM wave propagation of a three‐phase line without consideration to the dissipations phenomena present in the line itself. Taking into account the obtained results, the extension of the developed approach to the lossy three‐phase transmission line transient analysis is very useful on both theoretical and practical points of view.FindingsThe symmetrical three‐phase line Park model for the lossy transmission line transient analysis, regarded as vector formulation of the line modal analysis, has been presented. The proposed examples highlight how, thanks to the Park model, the dynamic analysis of the three‐phase line in distorted and unsymmetrical systems becomes an integral part of the more general and well‐established power electric system dynamic theory.Originality/valueThe three‐phase transmission line transient analysis presented in this paper emphasizes the conceptual contents, specific to the Park approach. Furthermore, it gives some results very important for the practical analysis of a lossy three‐phase transmission line.

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Waves and complex power in transmission lines

Cited by 5 publications

References 7 publications

Analysis of Physically Symmetrical Lossy Three-Phase Transmission Lines in Terms of Space Vectors

Analysis of Physically Symmetrical Lossy Three-Phase Transmission Lines in Terms of Space Vectors

Travelling-Wave Modelling of Uniform Multi-Conductor Transmission Line Networks --- Part I: Analytical Derivation

Lossy three‐phase transmission line transient analysis by Park approach

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