State‐space equations of regular and strictly topologically degenerate linear lumped time‐invariant networks: the multiport method | Zendy

Sommariva Antonino M. | Zendy

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State‐space equations of regular and strictly topologically degenerate linear lumped time‐invariant networks: the multiport method

Author(s) -

Sommariva Antonino M.

Publication year - 2001

Publication title -

international journal of circuit theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.364

H-Index - 52

eISSN - 1097-007X

pISSN - 0098-9886

DOI - 10.1002/cta.162

Subject(s) - degenerate energy levels , mathematics , state space , invariant (physics) , topology (electrical circuits) , simple (philosophy) , nonlinear system , state (computer science) , discrete mathematics , combinatorics , physics , algorithm , mathematical physics , quantum mechanics , philosophy , statistics , epistemology

A new complete approach to the multiport formulation of the state‐space equations of uniquely solvable regular or strictly topologically degenerate linear lumped time‐invariant networks is presented. It is based on a Gedankenexperiment during which the topological structure of the original network is manipulated in various ways. The final method requires one to calculate the describing matrices of three homogeneous multiports (i.e. a capacitive, an inductive and a resistive one), which are obtained from the network of interest in a very simple manner. As a by‐product, the equivalent partitioned network is also derived. As an example of application, the state‐space equations of a fourth‐order strictly topologically degenerate network are provided. Copyright © 2001 John Wiley & Sons. Ltd.

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