DOI
https://doi.org/10.11606/T.3.2017.tde-11072017-082059
Documento
Autor
Nome completo
Jose Roberto Cardoso
E-mail
Área do Conhecimento
Data de Defesa
Imprenta
São Paulo, 1986
Título em português
Problemas de campos eletromagnéticos estáticos e dinâmicos; Uma abordagem pelo método dos elementos finitos.
Palavras-chave em português
Eletromagnetismo
Método dos elementos finitos
Resumo em português
Título em inglês
Statics and dynamics electromagnetics problems: an approach by the finite element method.
Palavras-chave em inglês
Electromagnetism
Finite element method
Resumo em inglês
The idea of making this work came during a graduation course, " Special topics on electric machines", lectured by Prof. Dr. M. Drigas during the 2nd semester of 1980 at EPUSP, when the need of knowing the distribution of magnetic fields in electromechanics devices was notices, in order to foresse its performance during design. At that time, the first work about this subject realized made in Brazil was presented in prof. Janiszewski's thesis, where a technique was developed to solve Steady-State Magnetic Fields. However, it is clear that when the time variable is considered, this technique cannot be applied. The usual formulations of the Finite Element Method, published in international journals, was based on Variational Calculations, where the resulting non-linear algebraic equations system is derived from the extreme of a functional, which sometimes cannot be obtained, limiting in this way its application. Consequently, the first aim of this work is to organize procedures to obtain the Finite Method equations system, in order solve non-linear differential equations of fields, without the need of a previous functional for the problem. In Chapter II, one will find some interesting contributions referred to the Finite Element Method formulation, in the description of field problems by the use of non self-adjacent differentials operations.Matrix building techniques are presented in Chapter III, as well as the introduction of boundary conditions in this method. In spite of being an ordinary technique, it will help the beginners a lot, eliminating the need of other sources. Chapter IV presents the necessary formulations, which solve static electromagnetic fields for elements of four square (and curved) sides, and the technique used in the determination of non-linear media reluctivity. In Chapter V, the time variable of electromagnetic fields is treated, making possible the solution of problems of this nature, such as transient phenomena and sinusoidal steady-state. Computer aspects of the work are shown in Chapter VI, presenting resolution routines of the equation system fitted to the problem, and numeric integration routines described by first and second order differential equations, which depend on the time. Some techniques showed in those previous Chapters are specifically used in Chapter VII to obtain the magnetic field distribution, which analyses transformer performance during transients. The coherence of the method is also confirmed.

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Data de Publicação
2017-07-11

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