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IEEE PES Transactions on Power Delivery

Estimation of Transmission Line Parameters based on Modal Transformation Theory

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IEEE Transactions on Power Delivery TPWRD-00238-2010 Transactions 01-Apr-2010 Kurokawa, Sergio; Universidade Estadual Paulista, Departamento de Engenharia Elétrica Asti,Gislaine; Universidade Estadual Paulista, Departamento de Engenharia Elétrica Pissolato, Jose Prado, Afonso; Universidade Estadual Paulista, Departamento de Engenharia Elétrica Bovolato, Luiz; Universidade Estadual Paulista, Departamento de Engenharia Elétrica AC transmission and distribution facilities < Transmission and Distribution Transmisison lines, Parameter estimation, Transmission linemodeling

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Estimation of Transmission Line Parameters based on Modal Transformation Theory
S. Kurokawa, G. A. Asti, J.Pissolato, A. J. Prado, L. F. Bovolato

Abstract--The objective of this paper is to show a methodology to estimate transmission line parameters. The method is based on the modal decomposition theory and it is developed starting from currents and voltages measured at the sending end and receiving end of the line. The procedure has been used in a 440 kV threephase line. The results show that the precisionof the method depends of the length of the line and of the characteristics of the load that is connected at the receiving end of the line. Index Terms—Transmission lines, Parameters estimation, Transmission line modeling.

I. INTRODUCTION T is known that self and mutual impedances of overhead lines can be calculated taking into account the solutions of the Maxweel’s equations for the boundaryconditions at the contact surfaces of the conductor, air and ground. The expressions obtained to calculate self and mutual impedances are functions of the frequency, specific resistances, magnetic permeabilities and dielectric permittivities [1]. However, to calculate transmission line parameters, several approximations are considered and these approximations can be with respect to line geometry orelectromagnetic field [2]. In the most usual procedures to evaluate line parameters there are some explicit or implicit assumptions that imply in physical approximations. The approximations can be in respect to geometry simplifying or electromagnetic field behavior [2]. The geometric simplifying consists of assuming that the soil surface is plane, the line cables are horizontal and parallel amongthemselves, the distance between any pair of conductors is much higher than the sum of their radii and the electromagnetic effects of structures and insulators are neglected. Some simplifying assumptions are usually made about electromagnetic field behavior and these approximations imply that, in what concerns the transversal behavior of the line, it is assumed the quasi-stationary electromagneticfield simplification [2]. For historical and cultural reasons, the most used procedures to represent the ground assume that the
Manuscript received March 25, 2010. This work was supported in part by FAPESP and CNPq. S. Kurokawa, G. A. Asti, A. J. Prado and L. F. Bovolato are at Faculdade de Engenharia de Ilha Solteira, UNESP - Universidade Estadual Paulista, Caixa Postal 31, Ilha Solteira, SP,CEP 15385-000, fone/fax: 55 19 3788 3860, Brazil, (e-mail: kurokawa@dee.feis.unesp.br, asti.gislaine@gmail.com, afonsojp@uol.com.br, bovolato@dee.feis.unesp.br). J. Pissolato is at Universidade Estadual de Campinas, Brazil (e-mail: pisso@dsce.fee.unicamp.br).

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ground may have a constant conductivity, is frequency independent, and has a dielectric permittivity that can be neglected. These...
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