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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Main Author: A. Reibiger
Format: Article
Language:deu
Published: Copernicus Publications 2009-05-01
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
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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.
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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
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