Model of Three-Phase Transmission Line with the Theory of Modal Decomposition Implied

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References

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[2] L. Hofmann, “Series Expansions for Line Series Impedances Considering Diferent Specific Resistances, Magnetic Permeabilities and Dielectric Permittivities of Conductors, Air and Ground,” IEEE Transactions on Power Delivery, Vol. 18, No. 2, 2003, pp. 564-570. doi:10.1109/TPWRD.2003.810493

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[4] L. M. Wedephol, H. V. Nguyen and G. D. Irwin, “Frequency-dependent Transformation Matrices for Untransposed Transmission Lines using Newton-Raphson Method,” IEEE Transactions on Power Systems, Vol. 11,No. 3, 1996, pp. 1538-1546. doi:10.1109/59.535695

[5] M. 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

[6] H. W. Dommel, “EMTP Theory Book, Microtran Power System Analysis Corporation,” Vancouver, British Columbia, 1996.

[7] E. C. M. Costa, S. Kurokawa, J. Pissolato e A. J. Prado, “Efficient Procedure to Evaluate Electromagnetic Transients on Three-phase Transmission Lines,” IET Generation, Transmission & Distribution, Vol. 4, No. 9, 2010, pp. 1069-1081. doi:10.1049/iet-gtd.2009.0660

[8] E. C. M. Costa, S. Kurokara and A. J. Prado e J. Pissolato, “Proposal of na Alternative Transmission Line Model for Symmetrical and Asymmetrical Configurations,” Electrical Power and Energy Systems, 2011, pp. 1375-1383.

[9] S. Kurokara, A. J. Prado, J. Pissolato and L. F. Bovolato e R. S. Daltin, “Alternative Proposal for Modal Representation of a Non-transposed Three-Phase Transmission Line with a Vertical Symmetry Plane,” IEEE Latin America Transaction, Vol. 7, No. 2, 2009, pp. 182-189. doi:10.1109/TLA.2009.5256827

[10] S. Kurokawa, E. C. M. Costa, J. Pissolato and A. J. Prado e L. F. Bovolato, “Proposal of a Transmission Line Model Based on Lumped Elements,” Electric Power Components and Systems, Vol.38, No. 14, 2010, pp. 1577-1594. doi:10.1080/15325008.2010.492450

[11] R. C. Silva e S. Kurokawa, “Integration Methods Used in Numerical Simulations of Electromagnetic Transients”, IEEE Latin America Transactions, Vol. 9, No. 7, 2011, pp. 1060-1065. doi:10.1109/TLA.2011.6129703