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Non‐linear op‐amp circuits: Existence and uniqueness of solution by inspection
Author(s) -
Nishi Tetsuo,
Chua Leon O.
Publication year - 1984
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.4490120208
Subject(s) - resistor , uniqueness , electronic circuit , operational amplifier , linear circuit , topology (electrical circuits) , mathematics , computer science , control theory (sociology) , equivalent circuit , electrical engineering , engineering , mathematical analysis , combinatorics , voltage , cmos , amplifier , control (management) , artificial intelligence
Even simple circuits containing only one op amp and linear resistors can have multiple d.c. operating points. Using a realistic non‐linear d.c. op‐amp model which includes the saturation characteristics, this paper gives the necessary and sufficient conditions for an arbitrary op‐amp circuit (containing op amps, linear resistors, strictly‐increasing non‐linear resistors and independent sources) to have a unique solution for all values of circuit parameters. These conditions are remarkable because they are couched strictly in topological terms. For many op‐amp circuits (e.g. those containing only one op amp), the necessary and sufficient conditions can be checked by inspection .