TITLE:
Using Universal Line Model (ULM) for Representing Three-phase Lines
AUTHORS:
Anderson Ricardo Justo de Araújo, Rodrigo Cléber da Silva, Sérgio Kurokawa
KEYWORDS:
Electromagnetic Transients; Transmission Lines; Modal Decomposition; Distributed Parameters
JOURNAL NAME:
Energy and Power Engineering,
Vol.5 No.4B,
November
7,
2013
ABSTRACT: The second-order differential equations that describe
the transmission line are difficult to solve due to the mutual coupling among
phases and the fact that the parameters are distributed along their length. A
method for the analysis of polyphase systems is the technique that decouples
their phases. Thus, a system that has n phases coupled can be represented by n
decoupled single-phase systems which are mathematically identical to the
original system. Once obtained the n-phase circuit, it’s possible to calculate
the voltages and currents at any point on the line using computational methods.
The Universal Line Model (ULM) transforms the differential equations in the time domain
to algebraic equations in the frequency domain, solve them and obtain the
solution in the frequency domain using the inverse Laplace
transform. This work will analyze the method of modal decomposition in a
three-phase transmission line for the calculation of voltages and currents of
the line during the energizing process.