Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica

Bibliographic Details
Main Author: Pereira, Arthur Melo
Publication Date: 2017
Format: Master thesis
Language: por
Source: Repositório Institucional da UFG
dARK ID: ark:/38995/0013000006zmx
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/7966
Summary: In a society dependent on electric energy for the execution of various daily activities, it is normal that its use is increasingly increasing over time. In order to carry out the transportation of all electric energy, it is essential to use transmission lines, which with increasing energy demand inevitably have tended to multiply throughout the world, and especially in Brazil, given its continental dimensions. Considering the function of the transmission lines for the electrical system, its importance in the context of the electric power supply is remarkable. However, the lines constitute one of the great emitting sources of electric and magnetic fields of low frequency, which has caused concern and has been motivating fact of several studies, like the realized in this work. Therefore, in view of the scenario presented in the previous paragraph, it is necessary to establish ways of calculating the fields more and more precisely. For the calculation of the electric field is used the Image Method, the Maxwell Potential Coefficients Method and the Coulomb Law, and for the magnetic field the Biot-Savart's Law is used. The results obtained for the electric and magnetic fields were for infinite rectilinear geometries, finite rectilinear and for the conductors taking the form of a catenary, the latter geometry being the most real model for the arrangement of the conductors in a line. In all cases treated, an analytical and numerical approach was performed, in order to allow the calculation of the three geometries with accuracy. Taking advantage of the methodology of calculation of the fields, in addition this work proposes a method of support to the monitoring of transmission lines. The method consists of using the Genetic Algorithm associated to the values of the electric and magnetic fields measured to determine the parameters of the line, such as: phase spacing, cable-soil height, equivalent conductor diameter, current and operating voltage. Given the simplicity of implementation when compared to other methods, the achievement of satisfactory results and the need for a single measuring device to monitor the transmission line, the proposed method proves to be viable and promising to carry out the line monitoring process.
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spelling Alvarenga, Bernardo Pinheiro dehttp://lattes.cnpq.br/9850449311607643Alvarenga, Bernardo Pinheiro deAlves, Antônio Cesar BaleeiroPaula, Hélder dehttp://lattes.cnpq.br/4381732013421441Pereira, Arthur Melo2017-11-16T09:49:04Z2017-09-26PEREIRA, A. M. Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica. 2017. 143 f. Dissertação (Mestrado em Engenharia Elétrica e da Computação) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/7966ark:/38995/0013000006zmxIn a society dependent on electric energy for the execution of various daily activities, it is normal that its use is increasingly increasing over time. In order to carry out the transportation of all electric energy, it is essential to use transmission lines, which with increasing energy demand inevitably have tended to multiply throughout the world, and especially in Brazil, given its continental dimensions. Considering the function of the transmission lines for the electrical system, its importance in the context of the electric power supply is remarkable. However, the lines constitute one of the great emitting sources of electric and magnetic fields of low frequency, which has caused concern and has been motivating fact of several studies, like the realized in this work. Therefore, in view of the scenario presented in the previous paragraph, it is necessary to establish ways of calculating the fields more and more precisely. For the calculation of the electric field is used the Image Method, the Maxwell Potential Coefficients Method and the Coulomb Law, and for the magnetic field the Biot-Savart's Law is used. The results obtained for the electric and magnetic fields were for infinite rectilinear geometries, finite rectilinear and for the conductors taking the form of a catenary, the latter geometry being the most real model for the arrangement of the conductors in a line. In all cases treated, an analytical and numerical approach was performed, in order to allow the calculation of the three geometries with accuracy. Taking advantage of the methodology of calculation of the fields, in addition this work proposes a method of support to the monitoring of transmission lines. The method consists of using the Genetic Algorithm associated to the values of the electric and magnetic fields measured to determine the parameters of the line, such as: phase spacing, cable-soil height, equivalent conductor diameter, current and operating voltage. Given the simplicity of implementation when compared to other methods, the achievement of satisfactory results and the need for a single measuring device to monitor the transmission line, the proposed method proves to be viable and promising to carry out the line monitoring process.Em uma sociedade dependente da energia elétrica para a execução de diversas atividades do cotidiano, é normal que a sua utilização seja cada vez mais crescente no decorrer do tempo. Para realizar o transporte de toda energia elétrica é imprescindível o uso de linhas de transmissão, que com o aumento da demanda de energia inevitavelmente tenderam a se multiplicar pelo mundo e em especial pelo território brasileiro, dadas as suas dimensões continentais. Tendo em vista a função das linhas de transmissão para o sistema elétrico, é notável a sua importância no contexto do fornecimento de energia elétrica. No entanto, as linhas constituem uma das grandes fontes emissoras de campos elétricos e magnéticos de baixa frequência, o que tem causado preocupação e tem sido fato motivador de diversos estudos, como o realizado neste trabalho. Portanto, diante do cenário apresentado no parágrafo anterior, se faz necessário estabelecer formas de calcular os campos de maneira cada vez mais precisa. Para o cálculo do campo elétrico utiliza-se o Método das Imagens, o Método dos Coeficientes de Potencial de Maxwell e a Lei de Coulomb, já para o campo magnético a Lei de Biot-Savart é empregada. Os resultados obtidos para os campos elétricos e magnéticos foram para as geometrias retilíneas infinitas, retilíneas finitas e para os condutores assumindo a forma de uma catenária, sendo que essa última geometria constitui o modelo mais real quanto à disposição dos condutores em uma linha. Em todos os casos tratados foram realizadas uma abordagem analítica e numérica, de maneira a possibilitar o cálculo das três geometrias com exatidão. Aproveitando-se da metodologia de cálculo dos campos, adicionalmente este trabalho propõe um método de apoio ao monitoramento de linhas de transmissão. O método consiste em utilizar o Algoritmo Genético associado aos valores dos campos elétrico e magnético medidos para determinar os parâmetros da linha, como: espaçamento entre fases, altura cabo-solo, diâmetro equivalente dos condutores, corrente e tensão de operação. Dada a simplicidade de implementação quando comparado a outros métodos, a obtenção de resultados satisfatórios e a necessidade de um único aparelho de medição para monitorar a linha de transmissão, o método proposto mostra-se viável e promissor para realizar o processo de monitoramento de linhas.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfporUniversidade Federal de GoiásPrograma de Pós-graduação em Engenharia Elétrica e da Computação (EMC)UFGBrasilEscola de Engenharia Elétrica, Mecânica e de Computação - EMC (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEnergia elétricaLinhas de transmissãoCampo elétricoCampo magnéticoMétodo das imagensMétodo dos coeficientes de potencial de MaxwellLei de CoulombLei de Biot-SavartCatenáriaMonitoramento de linhasAlgoritmo genéticoElectric energyTransmission linesElectric fieldMagnetic fieldImage methodMaxwell potential coefficients methodCoulomb's lawBiot-Savart's lawCatenaryLine monitoringGenetic algorithmENGENHARIAS::ENGENHARIA ELETRICACálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numéricaCalculation of electric and magnetic fields in the proximity of transmission lines: an analytical and numerical approachinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-5088589215393046129600600600600-7705723421721944646-14310135936106710972075167498588264571reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGORIGINALDissertação - Arthur Melo Pereira - 2017.pdfDissertação - Arthur Melo Pereira - 2017.pdfapplication/pdf8324435http://repositorio.bc.ufg.br/tede/bitstreams/0059b031-4876-4e34-bfad-a66634b46459/downloada36f9e13810ace212ce9d44a66fc2fb4MD55LICENSElicense.txtlicense.txttext/plain; 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dc.title.eng.fl_str_mv Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
dc.title.alternative.eng.fl_str_mv Calculation of electric and magnetic fields in the proximity of transmission lines: an analytical and numerical approach
title Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
spellingShingle Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
Pereira, Arthur Melo
Energia elétrica
Linhas de transmissão
Campo elétrico
Campo magnético
Método das imagens
Método dos coeficientes de potencial de Maxwell
Lei de Coulomb
Lei de Biot-Savart
Catenária
Monitoramento de linhas
Algoritmo genético
Electric energy
Transmission lines
Electric field
Magnetic field
Image method
Maxwell potential coefficients method
Coulomb's law
Biot-Savart's law
Catenary
Line monitoring
Genetic algorithm
ENGENHARIAS::ENGENHARIA ELETRICA
title_short Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
title_full Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
title_fullStr Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
title_full_unstemmed Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
title_sort Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica
author Pereira, Arthur Melo
author_facet Pereira, Arthur Melo
author_role author
dc.contributor.advisor1.fl_str_mv Alvarenga, Bernardo Pinheiro de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9850449311607643
dc.contributor.referee1.fl_str_mv Alvarenga, Bernardo Pinheiro de
dc.contributor.referee2.fl_str_mv Alves, Antônio Cesar Baleeiro
dc.contributor.referee3.fl_str_mv Paula, Hélder de
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/4381732013421441
dc.contributor.author.fl_str_mv Pereira, Arthur Melo
contributor_str_mv Alvarenga, Bernardo Pinheiro de
Alvarenga, Bernardo Pinheiro de
Alves, Antônio Cesar Baleeiro
Paula, Hélder de
dc.subject.por.fl_str_mv Energia elétrica
Linhas de transmissão
Campo elétrico
Campo magnético
Método das imagens
Método dos coeficientes de potencial de Maxwell
Lei de Coulomb
Lei de Biot-Savart
Catenária
Monitoramento de linhas
Algoritmo genético
topic Energia elétrica
Linhas de transmissão
Campo elétrico
Campo magnético
Método das imagens
Método dos coeficientes de potencial de Maxwell
Lei de Coulomb
Lei de Biot-Savart
Catenária
Monitoramento de linhas
Algoritmo genético
Electric energy
Transmission lines
Electric field
Magnetic field
Image method
Maxwell potential coefficients method
Coulomb's law
Biot-Savart's law
Catenary
Line monitoring
Genetic algorithm
ENGENHARIAS::ENGENHARIA ELETRICA
dc.subject.eng.fl_str_mv Electric energy
Transmission lines
Electric field
Magnetic field
Image method
Maxwell potential coefficients method
Coulomb's law
Biot-Savart's law
Catenary
Line monitoring
Genetic algorithm
dc.subject.cnpq.fl_str_mv ENGENHARIAS::ENGENHARIA ELETRICA
description In a society dependent on electric energy for the execution of various daily activities, it is normal that its use is increasingly increasing over time. In order to carry out the transportation of all electric energy, it is essential to use transmission lines, which with increasing energy demand inevitably have tended to multiply throughout the world, and especially in Brazil, given its continental dimensions. Considering the function of the transmission lines for the electrical system, its importance in the context of the electric power supply is remarkable. However, the lines constitute one of the great emitting sources of electric and magnetic fields of low frequency, which has caused concern and has been motivating fact of several studies, like the realized in this work. Therefore, in view of the scenario presented in the previous paragraph, it is necessary to establish ways of calculating the fields more and more precisely. For the calculation of the electric field is used the Image Method, the Maxwell Potential Coefficients Method and the Coulomb Law, and for the magnetic field the Biot-Savart's Law is used. The results obtained for the electric and magnetic fields were for infinite rectilinear geometries, finite rectilinear and for the conductors taking the form of a catenary, the latter geometry being the most real model for the arrangement of the conductors in a line. In all cases treated, an analytical and numerical approach was performed, in order to allow the calculation of the three geometries with accuracy. Taking advantage of the methodology of calculation of the fields, in addition this work proposes a method of support to the monitoring of transmission lines. The method consists of using the Genetic Algorithm associated to the values of the electric and magnetic fields measured to determine the parameters of the line, such as: phase spacing, cable-soil height, equivalent conductor diameter, current and operating voltage. Given the simplicity of implementation when compared to other methods, the achievement of satisfactory results and the need for a single measuring device to monitor the transmission line, the proposed method proves to be viable and promising to carry out the line monitoring process.
publishDate 2017
dc.date.accessioned.fl_str_mv 2017-11-16T09:49:04Z
dc.date.issued.fl_str_mv 2017-09-26
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dc.identifier.citation.fl_str_mv PEREIRA, A. M. Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica. 2017. 143 f. Dissertação (Mestrado em Engenharia Elétrica e da Computação) - Universidade Federal de Goiás, Goiânia, 2017.
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identifier_str_mv PEREIRA, A. M. Cálculo de campos elétricos e magnéticos nas proximidades de linhas de transmissão: uma abordagem analítica e numérica. 2017. 143 f. Dissertação (Mestrado em Engenharia Elétrica e da Computação) - Universidade Federal de Goiás, Goiânia, 2017.
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