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Positive electrical circuits and their reachability

Positive electrical circuits and their reachability Positive electrical circuits and their reachability Conditions for the positivity of linear electrical circuits composed of resistances, coils, capacitors and voltage (current) sources are established. It is shown that: 1) the electrical circuit composed of resistors, coils and voltage source is positive for any values of their resistances, inductances and source voltages if and only if the number of coils is less or equal to the number of its linearly independent meshes, 2) the electrical circuit is not positive for any values of its resistances, capacitances and source voltages if each its branch contains resistor, capacitor and voltage source, 3) the positive n -meshes electrical circuit with only one inductance in each linearly independent mesh is reachable if all resistances of branches belonging to two linearly independent meshes are zero. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archives of Electrical Engineering de Gruyter

Positive electrical circuits and their reachability

Archives of Electrical Engineering , Volume 60 (3) – Sep 1, 2011

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Publisher
de Gruyter
Copyright
Copyright © 2011 by the
ISSN
0004-0746
DOI
10.2478/v10171-011-0026-3
Publisher site
See Article on Publisher Site

Abstract

Positive electrical circuits and their reachability Conditions for the positivity of linear electrical circuits composed of resistances, coils, capacitors and voltage (current) sources are established. It is shown that: 1) the electrical circuit composed of resistors, coils and voltage source is positive for any values of their resistances, inductances and source voltages if and only if the number of coils is less or equal to the number of its linearly independent meshes, 2) the electrical circuit is not positive for any values of its resistances, capacitances and source voltages if each its branch contains resistor, capacitor and voltage source, 3) the positive n -meshes electrical circuit with only one inductance in each linearly independent mesh is reachable if all resistances of branches belonging to two linearly independent meshes are zero.

Journal

Archives of Electrical Engineeringde Gruyter

Published: Sep 1, 2011

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