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A unified approach to autonomous and nonautonomous models of circuit elements
Author(s) -
Nałęcz Marek
Publication year - 2021
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.2846
Subject(s) - unification , limit (mathematics) , computer science , electrical element , current (fluid) , graph , control theory (sociology) , mathematics , engineering , theoretical computer science , control (management) , mathematical analysis , electrical engineering , artificial intelligence , programming language
Summary This paper proposes a unified approach to both autonomous models of circuit elements and nonautonomous models which contain nullator‐norator pairs. The unification is based on voltage‐controlled current sources as the only kind of element utilized in autonomous models. It is shown that nonautonomous models are special (limit) cases of autonomous ones as some transadmittances of these sources tend from one to infinity. A systematic approach to the creation of models which consist solely of voltage‐controlled current sources and are based on multiport equations is presented and illustrated by examples. By replacing the sources with their unistor models and then by application of the known transformations to the resulting unistor graph, autonomous and nonautonomous unistor models of several basic circuit elements are obtained. Some of these models seem to be new.