Using State-space Techniques To Represent Frequency Dependent Single-phase Lines Directly In Time Domain

This paper proposes to use a state-space technique to represent a frequency dependent line for simulating electromagnetic transients directly in time domain. The distributed nature of the line is represented by a multiple 1t section network made up of the lumped parameters and the frequency dependence of the per unit longitudinal parameters is matched by using a rational function. The rational function is represented by its equivalent circuit with passive elements. This passive circuit is then inserted in each 1t circuit of the cascade that represents the line. Because the system is very sparse, it is possible to use a sparsity technique to store only nonzero elements of this matrix for saving space and running time. The model was used to simulate the energization process of a 10 km length single-phase line. ©2008 IEEE.Macias, J.A.R., Exposito, A.G., Alfonso, A., A comparison of techniques for state-space transient analysis of transmission lines (2005) IEEE Trans. Power Delivery, 20 (2), pp. 894-903. , AprilMamis, M.S., Computation of electromagnetic transients on transmission lines with nonlinear components (2003) IEE.Proc. Gener. Transm. Distrib, 150 (2), pp. 200-203. , MarchMamis, M.S., Meral, M.E., State-space modeling and analysis of fault arcs (2005) Electric Power Systems Research, 76 (1-3), p. 4651. , SeptemberMamis, M.S., Nacaroglu, A., Transient voltage and current distributions on transmission lines (2002) IEE.Proc. Gener. Transm. Distrib, 149 (6), pp. 705-712. , NovNelms, R.M., Sheble, G.B., Newton, S.R., Grigsby, L.L., Using a personal computer to teach power system transients (1989) IEEE Trans. On Power Systems, 4 (3), pp. 1293-1297. , AugMamis, M.S., State-space transient analysis of single-phase transmission lines with corona (2003) presented at the Int. Conf. On Power Systems Transients, , New Orleans, USASarto, M.S., Scarlatti, A., Holloway, C.L., On the use of fitting models for the time-domain analysis on problems with frequency-dependent parameters (2002) Proc. IEEE Int. Symp. On Electromagnetic Compatibility, 1, pp. 588-593Gustavsen, B., Semlyen, A., Simulation of transmission line transients using vector fitting and modal decomposition (1998) IEEE Trans. Power Delivery, 13 (2), pp. 605-614. , AprilDommel, H.W., (1986) EMTP theory book, , VancouverMartinez, J.A., Gustavsen, B., Durbak, D., Parameters determination for modeling system transients - Part I: Overhead lines (2005) IEEE Trans. Power Delivery, 20 (3), pp. 2038-2044. , JulyMingli, W., Yu, F., Numerical calculations of internal of solid and tubular cylindrical conductors under large parameters (2004) IEE.Proc. Gener. Transm. Distrib, 151 (1), pp. 67-72. , JanDeschrijver, D., Gustavsen, B., Dhaene, T., Advancements in iterative methods for rational approximation in the frequency domain (2007) IEEE Trans. Power Delivery, 22 (3), pp. 1633-1642. , JulyGustavsen, B., Semlyen, A., Rational approximation of frequency domain response by vector fitting (1999) IEEE Trans. Power Delivery, 14 (3), pp. 1052-1061. , Jul