@article{10902/21105,
year = {2021},
month = {1},
url = {http://hdl.handle.net/10902/21105},
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.},
organization = {This work was supported by the Spanish Ministry of Economy and Competitiveness and the European Regional Development Fund (ERDF/FEDER) under the research project TEC2017-88242-C3-1-R.},
publisher = {Institute of Electrical and Electronics Engineers Inc.},
publisher = {IEEE Transactions on Microwave Theory and Techniques, 2021, 69(1), 566 -577},
publisher = {IEEE MTT-S International Microwave Symposium (IMS), Los Angeles, USA, 2020},
publisher = {},
title = {Envelope domain formulation for the analysis of the nonlinear transient dynamics of coupled oscillators},
author = {Sancho Lucio, Sergio Miguel and Suárez Rodríguez, Almudena and Ramírez Terán, Franco Ariel},
}