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

Andriy Chaban, Andrzej Popenda (), Andrzej Szafraniec () and Vitaliy Levoniuk
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Andriy Chaban: Faculty of Transport, Electrical Engineering and Computer Science, University of Radom, 26-600 Radom, Poland
Andrzej Popenda: Faculty of Electrical Engineering, Czestochowa University of Technology, 42-201 Czestochowa, Poland
Andrzej Szafraniec: Faculty of Transport, Electrical Engineering and Computer Science, University of Radom, 26-600 Radom, Poland
Vitaliy Levoniuk: Department of Electrical Systems, Lviv National Environmental University, 80381 Dubliany, Ukraine

Energies, 2023, vol. 16, issue 23, 1-20

Abstract: 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.

Keywords: mathematical modeling; long line equation; boundary conditions; electrical network; distributed parameters; transient electromagnetic processes; shield wires (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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