Decomposition of multiport elements in a revised multibond graph notation
type: Item
instance of: scholarly article
title: Decomposition of multiport elements in a revised multibond graph notation
zbMATH Open document ID: 0603.94020
DOI: 10.1016/0016-0032(84)90014-0
published in: Journal of the Franklin Institute
publication date: 1984-01-01T00:00:00Z
review text: Multiports are electrical, thermodynamical or hybrid systems with a finite number of independent external state variables. In the simplest case we have pure linear resistors, capacitors, inductors and so on. In the paper presented it is discussed how to substitute such multidimensional systems by coupled systems of one-dimensional elements. the coupling is done by means of two-port ideal transformers, two-port gyrators and so-called one-junctions or zero-junctions resp. These junctions can be regarded as generalizations of the connexions in parallel or in series resp. The structure of the equivalent system is characterized by specific graphical representations, called single-bond and multibond decomposition of the original system. The paper treats multiport transformers, resistors, capacitors and gyrators.
reviewed by: G.Brunk
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 94C30
Mathematics Subject Classification ID: 94C15
zbMATH DE Number: 3974899
zbMATH Keywords: multiport decomposition
zbMATH Keywords: structure of multidimensional linear systems
zbMATH Keywords: coupled systems of one-dimensional elements
zbMATH Keywords: graphical representations
author: Peter C. Breedveld
MaRDI profile type: Publication
full work available at URL: 0016-0032(84)90014-0
OpenAlex ID: W2166235166
cites work: Bond graph bibliography
cites work: Essential gyrators and reciprocity in junction structures
cites work: Reciprocal Relations in Irreversible Processes. II.
cites work: Q3273240
cites work: A bond graph algorithm to determine the equilibrium state of a system
cites work: Multiport representation of inertia properties of kinematic mechanisms
cites work: Essential gyrators and equivalence rules for 3-port junction structures
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description: scientific article; zbMATH DE number 3974899