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Modelling non‐linear devices exhibiting frequency‐dependent capacitances and inductances
Author(s) -
Dervişoǧlu A.,
Chua L. O.
Publication year - 1985
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.4490130204
Subject(s) - inductance , inductor , port (circuit theory) , capacitor , capacitance , realization (probability) , function (biology) , equivalent series inductance , topology (electrical circuits) , rational function , electronic engineering , electrical engineering , physics , mathematics , engineering , voltage , mathematical analysis , statistics , electrode , quantum mechanics , evolutionary biology , biology
The incremental capacitance and inductance of many electronic devices are frequency‐dependent. This paper presents a systematic method for modelling such devices using only positive and/or negative linear time‐imvariant capacitances and inductances. Modelling of a frequency‐dependent capacitor or inductor is reduced to the realization of an odd rational function. It has been shown that any odd rational function can be realized as the driving‐point function of a ± L , ± C one‐port. It has also been shown that a linear higher‐order capacitor or inductor of order 2 k + 1 can be realized by a ± L , ± C one‐port which contains 2 k + 2 elements.