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Envelope domain formulation for the analysis of the nonlinear transient dynamics of coupled oscillators

Abstract: A reduced-order envelope-domain formulation of coupled-oscillator systems based on realistic nonlinear models of the oscillator elements is presented for the first time to our knowledge. The formulation, based on numerical models of the transistor-based oscillators, enables an accurate prediction of the nonlinear dynamics of the coupled system, including the oscillation build-up, the locked and unlocked states, and the oscillator ON?OFF switching. To increase the applicability of the method, both admittance- and impedance-type models are extracted through harmonic balance simulations, under a voltage and current excitation, respectively, at the node/branch where the oscillator is connected to the coupled system. They are used to derive a nonlinear differential-equation system able to describe the transient dynamics of the entire structure. Because the oscillators are coupled through current injection, the impedance-based formulation is formally different from the admittance one, so it requires a dedicated derivation. For illustration, the method has been applied to exhaustively investigate the nonlinear dynamics of a system of three FET-based oscillators at 5 GHz. Very good agreement has been obtained with both circuit-level envelope transient (when applicable) and with measurements.

 Authorship: Sancho S., Suarez A., Ramirez F.,

 Congress: IEEE MTT-S International Microwave Symposium: IMS (2020 : Los Ángeles, Estados Unidos )

 Fuente: IEEE Transactions on Microwave Theory and Techniques, 2021, 69(1), 566 -577

 Publisher: Institute of Electrical and Electronics Engineers Inc.

 Publication date: 01/01/2021

 No. of pages: 13

 Publication type: Article

 DOI: 10.1109/TMTT.2020.3037475

 ISSN: 0018-9480,1557-9670

 Spanish project: TEC2017-88242-C3-1-R

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