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[66] J.R. Carson, "Wave propagation in overhead wireswith ground return", Bell Syst. Tech. J., vol. 5, pp.539-554, 1926.[67] A. Budner, "Introduction of frequency-dependent lineparameters into an electromagnetic transientsprogram", IEEE Trans. on Power Apparatus andSystems, vol. 89, no. 1, pp. 88-97, January 1970.[68] J.K. Snelson, "Propagation of travelling waves ontransmission lines - Frequency dependent parameters",IEEE Trans. on Power Apparatus and Systems, vol.91, no. 1, pp. 85-91, January/February 1972.[69] P.C. Magnusson, "Traveling waves on multiconductoropen wire lines. A numerical survey of theeffects of frequency dependence of modalcomposition", IEEE Trans. on Power Apparatus andSystems, vol. 92, no. 3, pp. 999-1008, May/June1973.[70] R.G. Wesley and S. Selvavinayagamoorthy,"Approximate frequency-response values fortransmission line transient analysis", Proc. IEE, vol.121, no. 4, pp. 281-286, April 1974.[71] W. Scott Meyer and H.W. Dommel, "Numericalmodeling of frequency dependent transmission-lineparameters in an electromagnetic transients program",IEEE Trans. on Power Apparatus and Systems, vol.93, no. 5, pp. 1401-1409, September/October 1974.[72] A. Semlyen and A. Dabuleanu, "Fast and accurateswitching transient calculations on transmission lineswith ground return using recursive convolutions",IEEE Trans. on Power Apparatus and Systems, vol.94, no. 2, pp. 561-571, March/April 1975.[73] A. Dabuleanu and A. Semlyen, "Modelling oftranspositions and double circuit transmission lines inswitching surge calculations", IEEE Trans. on PowerApparatus and Systems, vol. 94, no. 2, pp. 242-251,March/April 1975.[74] A. Semlyen and A. Dabuleanu, "A step approach toaccurate switching transient calculations based on statevariable component modelling", IEEE Trans. on PowerApparatus and Systems, vol. 94, no. 2, pp. 572-578,March/April 1975.[75] A. Ametani, "A highly efficient method for calculatingtransmission line transients", IEEE Trans. on PowerApparatus and Systems, vol. 95, no. 5, pp. 1545-1551,September/October 1976.[76] A. Semlyen, "Contributions to the theory of calculationof electromagnetic transients on transmission lines withfrequency dependent parameters", IEEE Trans. onPower Apparatus and Systems, vol. 100, no. 2, pp.848-856, February 1981.[77] A. Deri, G. Tevan, A. Semlyen and A. Castanheira,"The complex ground return plane. A simplified modelfor homogeneous and multi-layer earth return", IEEETrans. on Power Apparatus and Systems, vol. 100, no.8, pp. 3686-3693, August 1981.[78] J.F. Hauer, "State-space modeling of transmission linedynamics via nonlinear optimization", IEEE Trans. onPower Apparatus and Systems, vol. 100, no. 12, pp.4918-4924, December 1981.[79] J.R. Marti, "Accurate modeling of frequencydependenttransmission lines in electromagnetictransient simulations", IEEE Trans. on PowerApparatus and Systems, vol. 101, no. 1, pp. 147-155,January 1982.[80] A. Semlyen and R.H. Brierley, "Stability analysis andstabilizing procedure for a frequency dependenttransmission line model", IEEE Trans. on PowerApparatus and Systems, vol. 103, no. 12, pp.3579-3586, December 1984.[81] A. Semlyen and A. Deri, "Time domain modelling offrequency dependent three-phase transmission lineimpedance", IEEE Trans. on Power Apparatus andSystems, vol. 104, no. 6, pp. 1549-2577, June 1985.[82] A. Ametani and M. Aoki, "Line parameters andtransients of a non-parallel conductors system", IEEETrans. on Power Delivery, vol. 4, no. 2, pp. 1117-1126, April 1989.[83] L. Marti, "Low-order approximation of transmissionline parameters for frequency-dependent models",IEEE Trans. on Power Apparatus and Systems, vol.102, no. 11, pp. 3582-3589, November 1983.[84] A. Oguz Soysal and A. Semlyen, "Reduced ordertransmission line modeling for improved efficiency inthe calculation of electromagnetic transients", IEEETrans. on Power Systems, vol. 9, no. 3, pp. 1494-1498, August 1994.[85] J.R. Marti, H.W. Dommel, L. Marti and V.Brandwajn, "Approximate transformation matrices forunbalanced transmission lines", Proc. of the 9th PowerSystems Computer Conference, Cascais (Portugal),1987.[86] M. D'Amore and M.S. Sarto, "Modelling of lossyground parameters in the EMTP for very-fast transientanalysis", Proceedings of IPST'97, pp. 49-54, June 22-26, 1997, Seattle.[87] L.M. Wedepohl, H.V. Nguyen and G.D. Irwin,"Frequency-dependent transformation matrices foruntransposed transmission lines using Newton-Raphsonmethod", IEEE Trans. on Power Systems, vol. 11, no.3, pp. 1538-1546, August 1996.[88] B. Gustavsen and A. Semlyen, "Simulation oftransmission line transients using vector fitting andmodal decomposition", IEEE Trans. on PowerDelivery, vol. 13, no. 2, pp. 605-614, April 1998.8-4
[89] B. Gustavsen and A. Semlyen, "Calculation oftransmission line transients using polar decomposition",IEEE Trans. on Power Delivery, vol. 13, no. 3, pp.855-862, July 1998.[90] R. Mahmutcehajic, S. Babic, R. Gacanovic and S.Carsimamovic, "Digital simulation of electromagneticwave propagation in a multiconductor transmissionsystem using the superposition principle and Hartleytransform", IEEE Trans. on Power Delivery, vol. 8,no. 3, pp. 1377-1385, July 1993.[91] A. Oguz Soysal and A. Semlyen, "State equationapproximation of transfer matrices and its applicationto the phase domain calculation of electromagnetictransients", IEEE Trans. on Power Systems, vol. 9, no.1, pp. 420-428, February 1994.[92] G. Angelidis and A. Semlyen, "Direct phase-domaincalculation of transmission line transients usingtwo-sided recursions", IEEE Trans. on PowerDelivery, vol. 10, no. 2, pp. 941-949, April 1995.[93] B. Gustavsen, J. Sletbak and T. Henriksen,"Calculation of electromagnetic transients intransmission cables and lines taking frequencydependent effects accurately into account", IEEETrans. on Power Delivery, vol. 10, no. 2, pp.1076-1084, April 1995.[94] T. Noda, N. Nagaoka and A. Ametani, "Phase domainmodeling of frequency-dependent transmission lines bymeans of an ARMA model", IEEE Trans. on PowerDelivery, vol. 11, no. 1, pp. 401-411, January 1996.[95] T. Noda, N. Nagaoka and A. Ametani, "Furtherimprovements to a phase-domain ARMA line model interms of convolution, steady-state initialization, andstability", IEEE Trans. on Power Delivery, vol. 12,no. 3, 1327-1334, July 1997.[96] F. Castellanos and J.R. Marti, "Full frequencydependentphase-domain transmission line model",IEEE Trans. on Power Systems, vol. 12, no. 3, pp.1331-1339, August 1997.[97] H.V. Nguyen, H.W. Dommel and J.R. Marti, "Directphase-domain modeling of frequency-dependentoverhead transmission lines", IEEE Trans. on PowerDelivery, vol. 12, no. 3, 1335-1342, July 1997.[98] F. Castellanos, J.R. Marti and F. Marcano, "Phasedomainmultiphase transmission line models",Electrical Power and Energy Systems, vol. 19, no. 4,pp. 241-248, May 1997.[99] A. Morched, B. Gustavsen and M. Tartibi, "Auniversal model for accurate calculation ofelectromagnetic transients on overhead lines andunderground cables", Paper presented at the 1997IEEE PES Summer Meeting, July 20-24, 1997, Berlin.[100] B. Gustavsen and A. Semlyen, "Combined phase andmodal domain calculation of transmission linetransients based on vector fitting", IEEE Trans. onPower Delivery, vol. 13, no. 2, pp. 596-604, April1998.[101] L. Marti and H.W. Dommel, "Calculation of voltageprofiles along transmission lines", IEEE Trans. onPower Delivery, vol. 12, no. 2, pp. 993-998, April1997.[102] S. Cristina and M. D'Amore, "Effect of reflectionwaves on polyphase non-uniform power line carrierchannels : A new propagation matrix model", IEEETrans. on Power Apparatus and Systems, vol. 100, no.4, pp. 1685-1693, April 1981.[103] C. Menemenlis and Z.T. Chun, "Wave propagation onnonuniform lines", IEEE Trans. on Power Apparatusand Systems, vol. 101, no. 4, pp. 833-839, April 1982.[104] E.A. Oufi, A.S. AlFuhaid and M.M. Saied, "Transientanalysis of lossless single-phase nonuniformtransmission lines", IEEE Trans. on Power Delivery,vol. 9, no. 3, pp. 1694-1700, July 1994.[105] M.T. Correia de Barros and M.E. Almeida,"Computation of electromagnetic transients onnonuniform transmission lines", IEEE Trans. on PowerDelivery, vol. 11, no. 2, pp. 1082- 1091, April 1996.[106] H.V. Nguyen, H.W. Dommel and J.R. Marti,"Modeling of single-phase nonuniform transmissionlines in electromagnetic transient simulations", IEEETrans. on Power Delivery, vol. 12, no. 2, 916-921,April 1997.[107] M. Kawai, "Studies of the surge response on atransmission line tower", IEEE Trans. on PowerApparatus and Systems, vol. 83, no. 1, pp. 30-34,January 1964.[108] M.A. Sargent and M. Darveniza, "Tower surgeimpedance", IEEE Trans. on Power Apparatus andSystems, vol. 88, no. 5, pp. 193-204, May 1969.[109] W.A. Chisholm, Y.L. Chow and K.D. Srivastava,"Lightning surge response of transmission towers",IEEE Trans. on Power Apparatus and Systems, vol.102, no. 9, pp. 3232- 3242, September 1983.[110] W.A. Chisholm and Y.L. Chow, "Travel time oftransmission towers", IEEE Trans. on PowerApparatus and Systems, vol. 104, no. 10, pp. 2922-2928, October 1985.[111] M. Ishii et al., "Multistory transmission tower modelfor lightning surge analysis", IEEE Trans. on PowerDelivery, vol. 6, no. 3, pp. 1327-1335, July 1991.[112] T. Yamada et al., "Experimental evaluation of a UHVtower model for lightning surge analysis", IEEE Trans.on Power Delivery, vol. 10, no. 1, pp. 393-402,January 1995.[113] M.Mihailescu-Suliciu and I. Suliciu, "A rate type8-5
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