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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/100322
Title:
Método numérico-analítico generalizado para estimação do campo eletromagnético de linhas de transmissão de energia elétrica utilizando a teoria dos elementos finitos
Author(s):
Institution:
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Abstract:
• In this research is presented a mathematical modeling based on Maxwell's equations and numerical modeling based on Charge Simulation Method (CSM) and the Finite Element Method (FEM) for calculating the quasi-static electromagnetic field in transmission lines. The finite element method is an adaptation of Galerkin residual method. It’s currently considered a mathematical method for solving partial differential equations, among which includes the Poisson equation, Laplace equation, Helmholtz equation, Navier-Stokes, etc. This is an approximation method of continuing problems in closed domains where the continuous is divided into a finite number of parts or elements whose behavior is specified by a finite number of parameters associated with certain characteristic points called nodes. The nodes are union points of each element with its adjacent. The solution of the entire system follows the rules of the discrete problems. The complete system is formed by the association of N elements. The unknowns of the problem, mathematical functions, become the value of these functions on n nodes. The behavior within each of elements N is now defined from the behavior of n nodes, using appropriate interpolation functions or shape functions. The method precision depends on the shape of two-dimensional mesh element, i.e., if it is triangular or quadrilateral. Moreover, the number of integration points and therefore the polynomial finite element basis, can be exploited to increase the accuracy of the results. The basis of the finite element method are the mapping functions and their derivatives. In the Galerkin method the mapping functions are matched to the shape functions form the isoparametric. Finally, from above definitions, simply refer to the tables of numerical integration, showing how the elements are integrated, and use them in the rest of the numerical modeling
Issue Date:
20-Dec-2010
Citation:
SILVA, Rogério Marcos da. Método numérico-analítico generalizado para estimação do campo eletromagnético de linhas de transmissão de energia elétrica utilizando a teoria dos elementos finitos. 2010.. 172 f. Tese (doutorado) - Universidade Estadual Paulista, Faculdade de Engenharia de Ilha Solteira, 2010..
Time Duration:
172 f. : il.
Publisher:
Keywords:
• Energia elétrica - Linhas de transmissão
• Método dos elementos finitos
• Campos eletromagneticos
• Transmission lines
• Finite elements
• Electromagnetic field
URI:
Access Rights:
Acesso aberto
Type:
outro
Source:
http://repositorio.unesp.br/handle/11449/100322
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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