A New Strategy for Optimizing HSIL Transmission Lines

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A New Strategy for Optimizing HSIL Transmission Lines Isabella Abrão Marques Duane1   · Márcio Matias Afonso1 · Marco Aurélio de Oliveira Schroeder2 · Sandro Trindade Mordente Gonçalves1 · André Luiz Paganotti3 · Rodney Rezende Saldanha3 Received: 29 December 2019 / Revised: 8 June 2020 / Accepted: 14 July 2020 © Brazilian Society for Automatics--SBA 2020

Abstract This paper presents an efficient procedure for optimizing the electric field at ground level of high surge impedance loading transmission lines. Such lines have the capacity to achieve higher power transmission rates than the conventional ones. The ellipsoidal method is applied in order to maximize the transmitted power and minimize the electric field at ground level through the variation of the conductor’s positions in the tower, given its physical and electrical constraints. By means of an efficient new approach to handle the conductors, the optimization gives birth to compact line designs combined with conventional bundles of conductors. Furthermore, it is shown that the proposed strategy can increase the transmitted power, reduce the electric field at ground level, and shorten the running time of the optimization algorithm. Keywords  Electric field at ground level · Ellipsoidal optimization method · High surge impedance loading lines

1 Introduction The rising demand for electrical energy urges efficient methods to increase the power transfer capability, wherein transmission lines (TLs) are the bridge between the energy supply sources and the load centers. This perceptive growth has steered the development of more efficient methods for the power transmission, in order to postpone the construction of new TLs. Therefore, studies have been made in order to increase the transmission line power capacity. These studies have been investigated for many years by some researches in some countries (Alexandrov 1981, 1987, 1993; Alexandrov et al. 1988; Alexandrov and Podporkyn 1991; Alexandrov 1991; Gorbunov and Krylov 1991; Farag et al. 1998; Wei-Gang 2003; Nayak et al. 2006; Al Salameh and Hassouna 2010; Comber and Zaffanela 1972), and, especially in Brazil, started three decades ago (Salari 1993; Gomes 1995; Fernandes 1990; Regis et al. 1998; Esmeraldo et al. 1999; Melo et al. 1999; Regis 2005; * Isabella Abrão Marques Duane [email protected] 1



Centro Federal de Educacao Tecnologica de Minas Gerais, Belo Horizonte, Brazil

2



Universidade Federal de Sao Joao del-Rei, Sao Joao del‑Rei, Brazil

3

Universidade Federal de Minas Gerais, Belo Horizonte, Brazil



Salari et al. 2009; Maciel 2012; Salari 2014, 2014; Dart et al. 2015; Sarmiento and Tavares 2016; Acosta and Tavares 2018; Reis et al. 2019; Acosta and Tavares 2020). Amplification of the transmission line capacity could be done conventionally through enlarging the diameter of the phase conductors, increasing the thermal limit of the line, boosting the operating voltage, and/or incrementing the number of conductors per phase (Alexandrov 1981, 1987, 1993; Alexandrov et al. 1988; Alexandrov and