Interdisciplinary modelling of transient processes in local electric power systems including long supply lines of distributed parameters

Chaban, Andriy; Lis, Marek; Szafraniec, Andrzej; Chrzan, M.; Levoniuk, Vitaliy

doi:10.1109/ptze.2018.8503085

Cited by 4 publications

(1 citation statement)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such an approach greatly complicates the modelling, namely, the integration of state equations, especially in the case of matrix-vectoral line equations. For symmetrical states, where the line is part of a single-linear scheme, the method of solving the boundary problem is presented, for example, in [24][25][26].…”

Section: Mathematical Model Of An Electric Power Networkmentioning

confidence: 99%

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

et al. 2022

View full text Add to dashboard Cite

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%.

show abstract

Section: Mathematical Model Of An Electric Power Networkmentioning

confidence: 99%