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The wave transformer – analysis and application of time digital filters and the integral-derivative operators of ½ order

The wave transformer – analysis and application of time digital filters and the... Abstract In this paper the way of modeling phenomena occurring during the voltage and current waves passing through a point connection of two lines, with different wave impedance operators, is presented. This connection point is called „the wave transformer”. The analyzes and the resulting formulas concern not the frequency domain, but the time domain. The appropriate transition matrices of waves through the wave transformer are defined. This matrices are the convolution integral-derivative operators of fractional order (the digital filters). For a lossless line the wave transition matrices through the wave transformer become number type instead of operator type. All matrix multiplications occurring in the formulas should be understood in convolution way. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archives of Electrical Engineering de Gruyter

The wave transformer – analysis and application of time digital filters and the integral-derivative operators of ½ order

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References (7)

Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
0004-0746
DOI
10.2478/aee-2013-0040
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper the way of modeling phenomena occurring during the voltage and current waves passing through a point connection of two lines, with different wave impedance operators, is presented. This connection point is called „the wave transformer”. The analyzes and the resulting formulas concern not the frequency domain, but the time domain. The appropriate transition matrices of waves through the wave transformer are defined. This matrices are the convolution integral-derivative operators of fractional order (the digital filters). For a lossless line the wave transition matrices through the wave transformer become number type instead of operator type. All matrix multiplications occurring in the formulas should be understood in convolution way.

Journal

Archives of Electrical Engineeringde Gruyter

Published: Sep 1, 2013

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