A proposal for optimized analysis of transient currents in conductive materials. / Uma proposta para análise otimizada de correntes transitórias em materiais condutores.

AUTOR(ES)

Thiago Antonio Grandi de Tolosa

DATA DE PUBLICAÇÃO

2010

RESUMO

In this work, a methodology is developed, based on the application of the moment method associated to a finite difference approximation, for time domain analysis of transient current distribution in conducting media. The computational procedure allows that long conductors with any cross section can be considered, approximated by filamentary elements. Thus, the integral equation that describes the problem is substituted by a matrix representation. In the case of non homogeneous regions, the finite element method is used to obtain the matrix that allows the solution of the problem. As the proposed method works in a time step by step scheme, it is interesting, for increased computational efficiency, to reduce the size of the involved matrices. This can be done by application of the Discrete Wavelet Transform, as investigated in this work. An analysis of the numerical stability of the computational procedure is also done, aiming to establish its applicability conditions. Validation of the numerical procedure developed is done by comparing the results obtained for problems whose solution is known by measurement or by another method. Some problems of practical interest in Electromagnetic Compatibility were solved and the results are presented, concerning particularly shielding effects and multi conductor crosstalk. The developed procedure can be improved employing elements with more general shapes, besides the filamentary ones, allowing the consideration of three dimensional systems. Also, pre conditioning of the matrices before application of the Wavelet Transform can be studied, for a better performance of the method.

ASSUNTO(S)

diferenças finitas computational analysis in time domain transformada discreta wavelet finite difference método dos momentos correntes transitórias moment method transient currents análise computacional no domínio do tempo discrete wavelet transform

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