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A theory of nonenergic N ‐ports
Author(s) -
Wyatt J. L.,
Chua L. O.
Publication year - 1977
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.4490050210
Subject(s) - gyrator , inductor , capacitor , resistor , circulator , transformer , reciprocal , nonlinear system , resistive touchscreen , topology (electrical circuits) , electrical engineering , mathematics , computer science , physics , engineering , voltage , quantum mechanics , philosophy , linguistics
A circuit element is nonenergic if the instantaneous power flow into it is always zero. Well‐known examples include the ideal diode, transformer, gyrator and circulator. Most of the interesting nonenergic elements are nonlinear N ‐ports with N ⩾ 2, and many of their properties are quite counterintuitive. For example, there exists a surprisingly large class of nonenergic multiport capacitors and inductors, all of which, it turns out, are nonlinear and reciprocal. Nonenergic linear N ‐ports, on the other hand, are necessarily resistive and antireciprocal. In this paper, we present a rigorous fundamental theory of nonenergic N ‐ports that results in a general canonical representation. Special canonical forms are developed for nonenergic resistors, capacitors and inductors, and numerous examples are given.