Aperfeiçoamento dos modelos a parâmetros concentrados utilizados para representar linhas de transmissão em análises de transitórios eletromagnéticos

Colqui, Jaimis Sajid León; Pascoalato, Tainá Fernanda Garbelim; Kurokawa, Sérgio; Araújo, Anderson Ricardo Justo de

doi:10.48011/asba.v2i1.1285

Cited by 2 publications

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“…Articles [12,13] present mathematical models of a power line involving cascades of equivalent linear circuits connected in series and taking into account complex line parameters. The electromagnetic state of each cascade is described by first-order ordinary differential equations.…”

Section: Introductionmentioning

confidence: 99%

Including Shield Wires in the Analysis of Transient Processes Occurring in HVAC Transmission Lines

Chaban,

Popenda,

Szafraniec

et al. 2023

Energies

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The article presents an analysis of electromagnetic transient processes in long ultra-high voltage transmission lines, taking into account shield wires. It was shown that EMTP and Matlab/Simulink software are currently widely used in the study of transient processes in power lines. The EMTP software package uses the finite element method when integrating the equation that mathematically models the distributed parameter transmission line. The Matlab/Simulink software uses the d’Alembert method. In both cases, it is not known how the boundary conditions for the partial differential equation that mathematically models the transmission line are determined. The power line is analyzed as a distributed parameter system, described by a second-order partial differential equation. The advantage of the proposed method of calculating the boundary conditions for the abovementioned equation is the use of boundary conditions of the second and third types of Neumann and Poincaré, which allowed us to take into account the mutual influence of shield wires and phase conductors of the line in one power system. On this basis, the methodology for obtaining time domain graphs, spatial distributions, and traveling wave distributions of voltages and currents for phase conductors and line shielding wires is presented. The results of a computer simulation of transient processes when switching on the power line, taking into account controlled phase commutation and under single-phase earth fault conditions, are presented. All calculation results of transient processes presented in the article were obtained exclusively using numerical methods.

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Section: Introductionmentioning

confidence: 99%

Including Shield Wires in the Analysis of Transient Processes Occurring in HVAC Transmission Lines

Chaban,

Popenda,

Szafraniec

et al. 2023

Energies

View full text Add to dashboard Cite

show abstract

“…Articles [7,8] introduce supply line mathematical models that include cascades of equivalent line circuits in series which address complicated line parameters. The electro-magnetic state of each cascade is described with ordinary first-order differential equations.…”

Section: Introductionmentioning

confidence: 99%

“…However, these approaches require well-defined boundary conditions regarding the long transmission line equation [3,[13][14][15]. The conditions were determined using analytical integration [2] or equivalent substitutions [7][8][9][10]. Concerning the MatLab software package, the distributed line model built into the Simulink library was also simplified.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling of Transient Processes in a Three Phase Electric Power System for a Single Phase Short-Circuit

et al. 2022

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Field approaches are employed to develop a mathematical model of a power network section. The facility consists of two electric power subsystems described with ordinary differential equations and presented as concentrated parameter systems connected with a three-phase power supply line, presented as a distributed parameter system. The model of the electric power line is described with partial differential equations. Mathematically, the supply line model is described utilizing a mixed problem with explicitly indefinite boundary conditions. All electromagnetic state equations of the integrated system are introduced in their matrix-vector forms. The equation of the three-phase long supply line is expressed untraditionally as a system of two first-order differential equations as a function of long line voltage. Since the power supply line is part of the integrated system that includes two subsystems, the boundary conditions at the line's start and end are implicitly defined, avoiding the traditional application of the Dirichlet first-type boundary condition. An expanded system of ordinary differential equations that describe physical processes in both the supply and loading subsystems is used to calculate the boundary conditions. To this end, third-type boundary conditions, or Poincaré's conditions, serve to describe the wave equation of the electric power line. Such an integrated model of an electric power system helps analyse transient processes across the supply line when the electric power system is switched on and is single-phase short-circuited at the final point of the electric power line. A comparison of computer simulation results with well-known software packages shows a convergence of approx. 96%.

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Aperfeiçoamento dos modelos a parâmetros concentrados utilizados para representar linhas de transmissão em análises de transitórios eletromagnéticos

Cited by 2 publications

References 0 publications

Including Shield Wires in the Analysis of Transient Processes Occurring in HVAC Transmission Lines

Including Shield Wires in the Analysis of Transient Processes Occurring in HVAC Transmission Lines

Mathematical Modelling of Transient Processes in a Three Phase Electric Power System for a Single Phase Short-Circuit

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