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A method for the investigation of high‐order two‐frequency asynchronous oscillators
Author(s) -
Calandra Enrico F.,
Sommariva Antonino M.
Publication year - 1992
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.4490200203
Subject(s) - phasor , asynchronous communication , frequency domain , time domain , mathematics , electrical impedance , perturbation (astronomy) , control theory (sociology) , lti system theory , topology (electrical circuits) , simple (philosophy) , computer science , linear system , mathematical analysis , physics , telecommunications , electric power system , power (physics) , philosophy , control (management) , epistemology , quantum mechanics , combinatorics , artificial intelligence , computer vision
A general method for analysing asynchronous high‐order two‐frequency oscillators is presented. the oscillator model is made up of a GC non‐linear parallel group embedded in a linear lumped time‐invariant network of any order. the approach devised rests on the identification of a pair of narrow‐band impedance operators which permit one to derive first‐approximation steady state and dynamic equations in the phasor domain—as well as stability criteria—in a simple and expressive manner. Previous results from averaging and perturbation treatments on fourth‐order asynchronous oscillators are shown to be obtainable from this theory as particular cases. the sixth‐order oscillator chosen as an application example shows that computational efficiency and accuracy are among the features of the method.