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On the representation of electrical networks

By integrating in the representation of electrical circuits the properties of the physical laws which govern their functioning, we propose a way to construct a representation such that two circuits which "function in the same way" have the same representation. In this article, we show that...

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Bibliographic Details
Main Authors: Robisson, B., Ganascia, J.G.
Format: Conference Proceeding
Language:English
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Summary:By integrating in the representation of electrical circuits the properties of the physical laws which govern their functioning, we propose a way to construct a representation such that two circuits which "function in the same way" have the same representation. In this article, we show that the bond graph representation is a good candidate for such a functional representation because its formalism deletes a piece of information which is useless for analyzing the circuit's functioning. However, the existing algorithms which transform a circuit into a bond graph are not fully adapted to this formalism. A more suitable algorithm is proposed, based on the Tutte decomposition of graphs. This algorithm associates a unique bond graph with a given circuit and it formalizes the "inspection method" suggested by Karnopp [1975]. With this new algorithm, the gap between the bond graph representation and the functional representation is reduced.
DOI:10.1109/MWSCAS.2000.951606