Real-time Estimation Of Transmission Line Impedance Based On Modal Analysis Theory

The objective of this paper is to show a methodology to estimate the longitudinal parameters of transmission lines. The method is based on the modal analysis theory and developed from the currents and voltages measured at the sending and receiving ends of the line. Another proposal is to estimate the line impedance in function of the real-time load apparent power and power factor. The procedure is applied for a non-transposed 440 kV three-phase line. © 2011 IEEE.Hofmman, L., Series expansions for line series impedances considering different specific resistances, magnetic permeabilities and dielectric permittivities of conductors, air, and ground (2003) IEEE Trans. on Power Delivery, 18 (2), pp. 564-570. , AprilPortela, C., Tavares, M.C., Modeling, simulation and optimization of transmission lines. Applicability and limitations of some used procedures (2002) IEEE PES Transmission and Distribution, , São Paulo, BrazilSemlyen, A., Some frequency domain aspects of wave propagation on nonuniform lines (2003) IEEE Trans. on Power Delivery, 18 (1), pp. 315-322. , JanIndulkar, C.S., Ramalingam, K., Estimation of transmission line parameters from measurements (2008) Electrical Power and Energy Systems, 30 (5), pp. 337-342Kuffel, R., Giesbrecht, J., Maguire, T., Wierckx, R.P., Mclaren, P., RTDS-a fully digital power system simulator operation in real time (1995) IEEE WESCANEX 95 - Communications, Power and Computing Conf. Proc., 2, pp. 300-305. , Winnipeg, CanadaMarti, J.R., Linares, L.R., Calvino, J., Dommel, H.W., Lin, J., OVNI: Na object approach to real-time Power system simulators (1998) Proc. of the Power System Conference - POWERCON'98, 2, pp. 977-981. , Beijing, ChinaMartinez, J.A., Gustavsen, B., Durbak, D., Johnson, B., Mahseredjian, J., Mork, B., Walling, R., Parameter determination for modeling system transients - Part I: Overhead lines (2005) IEEE Transactions on Power Delivery, 20 (3), pp. 2038-2044. , DOI 10.1109/TPWRD.2005.848678Wang, Y.J., Liu, S.J., A review of methods for calculation of frequency-dependent impedance of overhead power transmission lines (2001) Proc. Natl. Sci. Counc., 25 (6), pp. 329-338Dommel, H.W., (1986) EMTP Theory Book, , VancouverBudner, A., Introduction of frequency-dependent line parameters into an electromagnetic transients program (1970) IEEE Trans. on Power Apparatus and Systems, PAS-89 (1), pp. 88-97. , JanMarti, J.R., Accurate modeling of frequency-dependent transmission lines in electromagnetic transient simulations (1982) IEEE Trans. on Power Apparatus and Systems, PAS-101 (1), pp. 147-155. , JanWedepohl, L.M., Nguyen, H.V., Irwin, G.D., Frequency-dependent transformation matrices for untransposed transmission lines using Newton-Raphson Method (1996) IEEE Trans. on Power Delivery, 11 (3), pp. 1538-1546. , AugustCampos, J.C.C., Pissolato, J., Prado, A.J., Kurokawa, S., Single real transformation matrices applied to double three-phase transmission lines (2008) Electric Power Systems Research, 78 (10), pp. 1719-1725. , OctoberKurokawa, S., Pissolato, J., Tavares, M.C., Portela, C.M., Prado, A.J., A new procedure to derive transmission-line parameters: Applications and restrictions (2006) IEEE Transactions on Power Delivery, 21 (1), pp. 492-498. , DOI 10.1109/TPWRD.2005.852296Kurokawa, S., Yamanaka, F.N.R., Prado, A.J., Pissolato, J., Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation (2009) Electric Power Systems Research, 79 (7), pp. 1155-1163. , Jul