New Multiphase Mode Domain Transmission Line Model

This article presents a new model to represent transmission lines including the frequency dependence of longitudinal parameters. The model uses exact modes, for ideally transposed lines, and "quasi-modes" for non-transposed lines. The line is represented through a cascade of π-circuits, with one π-circuit for each mode. The transformation matrix used is real and it is modeled with ideal transformers. The model is described for three-phase lines, dc lines, double three-phase lines and six-phase lines. An ATP-EMTP implementation of a 440 kV three-phase transmission line is performed to illustrate the model and a comparison with two frequency dependent ATP line models are made, the Semlyen and JMarti ones. © 1999 Elsevier Science Ltd. All rights reserved.218585601(1987) Alternative Transients Program Rule Book, , JulySemlyen, A., Dabuleanu, A., Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolution (1975) IEEE Trans PAS, 94 (2), pp. 561-571Marti, J.R., Accurate modeling of frequency-dependent transmission lines in electromagnetic transients simulations (1982) IEEE Trans PAS, 101 (1), pp. 147-157Clarke, E., (1950) Circuit Analysis of AC Power Systems, 1. , New York: WileyBrandã, O., Faria, J.A., Bricefio Mendez, J., On the modal analysis of asymmetrical three phase transmission lines using standard transformation matrices (1997) IEEE Winter Meeting, , Paper 97WMIEEE-PESTavares, M.C., Pissolato, J., Portela, C.M., New mode-domain representation of transmission line-Clarke transformation analysis (1998) 1998 IEEE International Symposium on Circuits and Systems (ISCAS' 98), pp. III497-500. , Monterey, California, USATavares, M.C., Pissolato, J., Portela, C.M., Quasi-modes multiphase transmission line model (1999) Electric Power Systems Research, 49, pp. 159-167Portela, C.M., Tavares, M.C., Six phase transmission line-propogation characteristics and new three phase representation (1993) IEEE Trans Power Delivery, 8 (3), pp. 1470-1483Tavares, M.C., Pissolato, J., Portela, C.M., Mode domain multiphase transmission line-use in transient studies (1998) IEEE Summer Meeting, , Paper PE-430-PWRD-0-04-1988, San Diego, USA, JulyBrandão Faria, J.A., Briceño Mendez, J., Modal analysis of untransposed bilateral three phase lines-a perturbation approach (1996) IEEE Summer Meeting, , Paper 96SM438-2PWRD, Denver, USA, JulyPortela, C.M., Tavares, M.C., Azeved, R.M., New Line Representation for Transient Studies - Application to a Six Phase Transmission LineSemlyen, A., Wilson, R.L., Gelopulos, D., Paper discussion of component transformations - Eigenvalue analysis succintly defines their relationships (1982) IEEE Trans PAS, 101, pp. 405-40