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Order of complexity of rlc networks containing a reactive gyrator
Author(s) -
Milić Mirko M.
Publication year - 1975
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.4490030207
Subject(s) - gyrator , rlc circuit , topology (electrical circuits) , mathematics , network analysis , order (exchange) , computer science , electronic engineering , physics , combinatorics , engineering , capacitor , finance , voltage , economics , quantum mechanics
Using a particular expansion of the network determinant, a simple formula is derived giving the total number of natural frequencies of a passive RLC network containing a reactive gyrator. The order of complexity is expressed in terms of the degrees of the polynomials in the gyration impedance and the alteration in the network topology due to gyrator embedding. Quantitative conditions for the order of complexity of the active network exceeding that of the network without the gyrator are obtained. Formulas are also derived for the number of zero and non‐zero natural frequencies.