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 EPE  Vol.5 No.4 B , July 2013
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.
Cite this paper: 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. 4, 2013, pp. 1159-1164. doi: 10.4236/epe.2013.54B220.
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.

 
 
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