A Novel Transformation Matrix Based on Karrenbauer Transformation

For the modal analysis of un-transposed transmission lines, the traditional standard transformations fail. We propose a novel transformation matrix based on the Karrenbauer transformation matrix to simplify the calculation. This paper shows how to derive this corrected novel transformation matrix fr...

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Published inApplied Mechanics and Materials Vol. 521; no. Sustainable Energy; pp. 260 - 263
Main Authors Zhang, Qing Chao, Zheng, Ming Zhong, Gao, Wei Zhao, Zhang, Heng Chao
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.02.2014
Subjects
Mathematical analysis
Transformations
Transformations (mathematics)
Transmission lines
Modal Analysis
Karrenbauer Transformation
Transformation Matrix
Un-Transposed Transmission Lines
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Summary:For the modal analysis of un-transposed transmission lines, the traditional standard transformations fail. We propose a novel transformation matrix based on the Karrenbauer transformation matrix to simplify the calculation. This paper shows how to derive this corrected novel transformation matrix from the Karrenbauer transformation matrix by using some mathematical theories. In addition to the theoretical aspects discussed, some examples are presented for illustrative purposes.
Bibliography:Selected, peer reviewed papers from the 2013 2nd International Conference on Sustainable Energy and Environmental Engineering (ICSEEE 2013), 28-29 December, 2013, Shenzhen, China
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ISBN:3038350214
9783038350217
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.521.260