Generalizations of Blakesley's Source Shift Theorem
It is shown that the well-known Voltage Source Shift Theorem due to Blakesley and its dual version, the Current Source Shift Theorem as well as the rules for the transformation of networks with loops of capacitors or cut sets of inductors into networks without such loops or cutsets, resp., and the r...
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Format: | Article |
Language: | deu |
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Copernicus Publications
2009-05-01
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Series: | Advances in Radio Science |
Online Access: | http://www.adv-radio-sci.net/7/67/2009/ars-7-67-2009.pdf |
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author | A. Reibiger |
author_facet | A. Reibiger |
author_sort | A. Reibiger |
collection | DOAJ |
description | It is shown that the well-known Voltage Source Shift Theorem due to Blakesley and its dual version, the Current Source Shift Theorem as well as the rules for the transformation of networks with loops of capacitors or cut sets of inductors into networks without such loops or cutsets, resp., and the relationships between capacitance coefficients and partial capacitors are special cases of general theorems on the terminal behavior of networks. The proof of these theorems is based on the theory of terminal behavior of networks. For these proofs we do not need the substitution theorem with its strong uniqueness assumptions. This fact is an essential advantage in comparison to the original proof given by Chua and Green. |
first_indexed | 2024-12-20T06:13:08Z |
format | Article |
id | doaj.art-9789ff71cdb741349de7fa5ca12f479a |
institution | Directory Open Access Journal |
issn | 1684-9965 1684-9973 |
language | deu |
last_indexed | 2024-12-20T06:13:08Z |
publishDate | 2009-05-01 |
publisher | Copernicus Publications |
record_format | Article |
series | Advances in Radio Science |
spelling | doaj.art-9789ff71cdb741349de7fa5ca12f479a2022-12-21T19:50:36ZdeuCopernicus PublicationsAdvances in Radio Science1684-99651684-99732009-05-0176771Generalizations of Blakesley's Source Shift TheoremA. ReibigerIt is shown that the well-known Voltage Source Shift Theorem due to Blakesley and its dual version, the Current Source Shift Theorem as well as the rules for the transformation of networks with loops of capacitors or cut sets of inductors into networks without such loops or cutsets, resp., and the relationships between capacitance coefficients and partial capacitors are special cases of general theorems on the terminal behavior of networks. The proof of these theorems is based on the theory of terminal behavior of networks. For these proofs we do not need the substitution theorem with its strong uniqueness assumptions. This fact is an essential advantage in comparison to the original proof given by Chua and Green.http://www.adv-radio-sci.net/7/67/2009/ars-7-67-2009.pdf |
spellingShingle | A. Reibiger Generalizations of Blakesley's Source Shift Theorem Advances in Radio Science |
title | Generalizations of Blakesley's Source Shift Theorem |
title_full | Generalizations of Blakesley's Source Shift Theorem |
title_fullStr | Generalizations of Blakesley's Source Shift Theorem |
title_full_unstemmed | Generalizations of Blakesley's Source Shift Theorem |
title_short | Generalizations of Blakesley's Source Shift Theorem |
title_sort | generalizations of blakesley apos s source shift theorem |
url | http://www.adv-radio-sci.net/7/67/2009/ars-7-67-2009.pdf |
work_keys_str_mv | AT areibiger generalizationsofblakesleyaposssourceshifttheorem |