Using Universal Line Model (ULM) for Representing Three-phase Lines ()
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.
Share and Cite:
A. Ricardo Justo de Araújo, R. Cléber da Silva and S. Kurokawa, "Using Universal Line Model (ULM) for Representing Three-phase Lines,"
Energy and Power Engineering, Vol. 5 No. 4B, 2013, pp. 1159-1164. doi:
10.4236/epe.2013.54B220.
Conflicts of Interest
The authors declare no conflicts of interest.
References
|
[1]
|
S. Kurokawa, “Parametros Longitudinais Transversais de linhas de Transmissão Calculados A Partir das Correntes e tTensões de fase,” (Doctorate in Electrical Engineering) Faculdade de Engenharia Elétrica e de Computação,” Universidade Estadual de Campinas, Campinas, 2003.
|
|
[2]
|
C. Tavares, J. Pissolato and C. M. Portela, “Mode Domain Multiphase Transmission Line Model-Use in Transient Studies,” IEEE Transactions on Power Delivery, Vol. 14, No. 4, 1999, pp. 1533-1544.
doi:10.1109/61.796251
|
|
[3]
|
P. Moreno and A. Ramirez, “Implementation of the Numerical Laplace Transform: A Review,” IEEE Transactions on Power Delivery, Vol. 23, No. 4, 2008, pp. 2599-2609. doi:0.1109/TPWRD.2008.923404
|
|
[4]
|
S. Kurokawa and R. C. Silva, “Alternative Model of Three-phase Transmission Line Theory-based Modal Decomposition,” Revista IEEE América Latina, Vol. 10, 2012, pp. 2074-2079.
|
|
[5]
|
A. R. J. Araújo, R. C. Silva, S. Kurokawa and L. F. Bovolato, “Analysis of Electromagnetic Transients in Three-Phases Transmission Line using the Modal Decomposition,” Sixth IEEE/PES Transmission and Distribution: Latin America Conference and Exposition (T&D-LA), Montevideo , 2012, pp. 1-6.
|