An Alternative Three-phase Transmission Lines Model in Phase Domain
- 1 Universidade Estadual Paulista (Unesp), Electrical Engineering Department, Ilha Solteira, Brazil
- 2 Universidade Estadual Paulista (Unesp), Electrical Engineering Department, Ilha Solteira, Brazil
- 3 Universidade Estadual de Campinas (Unicamp), Electrical Engineering Department, Campinas, Brazil
Abstract
The objective of this paper is to show an alternative model of a non-transposed three-phase transmission line with a vertical symmetry plane in phase domain . Due the line physical characteristics, it can be represented by a system consisting of a single?phase and a two-phase line . In this system, the equations describing the behavior of the values in single-phase line terminals are known , while the equations for two-phase line to be obtained. Using a transformation matrix written explicitly according to three-phase line parameters , it is possible to obtain the currents and voltages in phase domain of two-phase line . Then, modal values of three-phase line are converted into phase domain and thus obtain the analytical model for this line . To verify the performance of this model , it was used to simulate the energization of a 440 kV three-phase line and the results were compared to results obtained using a classical model .
- A. B. Fernandes and W. L. A. Neves, “Phase-domain Transmission Line Models Considering Frequency Dependent Transformation Matrices,” IEEE Transactions on Power Delivery, Vol. 19, No. 2, 2004, pp. 708-714. doi:10.1109/TPWRD.2003.822536
- 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
- A. Budner, “Introduction of Frequency-Dependent Line Parameters into an Electromagnetic Transients Program,” IEEE Transactions on Power Apparatus and Systems, Vol. 89, No. 1, 1970, pp. 88-97. doi:10.1109/TPAS.1970.292674
- L. Marti, “Low-order Approximation of Transmission line Parameters for Frequency Dependent Models,” IEEE Trans. Power App. and Systems, Vol. PAS-102, No. 11, 1983, pp. 3582 - 3589. doi:10.1109/TPAS.1983.317705
- Chipman and A. Robert, “Teoria e Problemas de Linhas de Transmissio,” Ed. McGraw-Hill from Brazil, S?o Paulo, 1972.
- S. Kurokawa, R. S. Daltin, A. J. Prado and J. Pissolato, “An Alternative Modal Representation of a Symmetrical Non-transposed Three-Phase Transmission Line,” IEEE Transactions on Power Systems, Vol. 22, No. 1, 2007, pp. 500-501. doi:10.1109/TPWRS.2006.889117
- M. C. Tavares, J. Pissolato and C. M. Portela, “Mode Domain Multiphase Transmission Line Model – Use in Transient Studies,” IEEE Transaction on Power Delivery, Vol. 14, No. 4, 1999, pp. 1533-1544. doi:10.1109/61.796251
- B. Gustavsen and A. Senlyen, “Combined Phase and Modal Domain Calculation of Transmission Transients Based on Vector Fitting,” IEEE Transactions on Power Delivery, Vol. 13, No. 2, 1998. doi:10.1109/61.660936
- IEC 60060–1: ‘High-voltage Test Techniques – part 1: General Definitions and Test Requirements,” Ed. 3, 2010.