Uma nova implementação do efeito skin no modelo da linha de transmissão / A new implementation of skin-effect in trnamission line model

AUTOR(ES)
DATA DE PUBLICAÇÃO

2005

RESUMO

This thesis presents the development of a new and quite simple implementa-tion of skin-effect in electrical and signal transmission line model for skin-effect 1088 analysis and study in frequency-domain. Skin-effect 1088 is taken into account by formulating and solving Maxwell s wave equation as a function of the electrical field in the direction of propagation. Ma.xwell s wave equation solution gives the transient formulation for the current calculation in the transversal section of the solid cylindrical conductor as a function of the electrical field on the conductor surface. The mathematical formulation of the model equations is obtained by considering the transient formulation of the current and applying electromagnetic theory. It also presents the development of the mathematical formulation equations of both the lossless and the lossy (DC resistance concept) transmission line mode1s for compari-sons. The frequency-domain solution for these three models is obtained by applying Fourier transform method. The consequence of the development of the new imple-mentation gives a possibility to develop a new, exact and very simple technique. This technique can be used to calculate the skin-effect parameters (resistance and internal inductance of the solid cylindrical conductor). Comparison analysis between this new technique and the Bessel technique (the most used technique in research for the same objective) are presented. The results show that the advantages of this new technique over the Bessel technique are the simplicity, quickness, accuracy and the suitability for any computer language. Finally mathematical and graphical comparison analysis between skin-effect and DC parameters and their effects on the transmission line characteristic is presented. The analysis shows that, due to the skin-effect 1058, the resistance increases and the internal inductance decreases with . the increase of the frequency, and the most affected transmission line characteristic is the attenuation coefficient Q. In addition, some examples are presented as an applications of the new implementation in long and short tran.qrni~on lines and compare the results with those obtained by the lO581ess and lossy models. In these examples the analysis shows that the predicted voltages and currents at the end of the transDussion lines were under-estimated when using the lossless and lossy models.

ASSUNTO(S)

resistencia eletrica indusctance eletromagnetic compatibility transmission lines compatibilidade eletromagnetica indutancia linhas de telecomunicação electric resistance

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