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Title: Piecewise Semi-Analytical Formulation for the Analysis of Coupled-Oscillator Systems
Authors: Umpiérrez Rodríguez, Pedro 
Araña Pulido, Víctor Alexis 
Sancho, Sergio
UNESCO Clasification: 3307 Tecnología electrónica
Keywords: Injection-Locked Oscillators
Issue Date: 2019
Journal: IEEE Transactions on Microwave Theory and Techniques 
Abstract: A new simulation technique to obtain the synchronized steady-state solutions existing in coupled oscillator systems is presented. The technique departs from a semi-analytical formulation presented in previous works. It extends the model of the admittance function describing each individual oscillator to a piecewise linear one. This provides a global formulation of the coupled system, considering the whole characteristic of each voltage-controlled oscillator (VCO) in the array. In comparison with the previous local formulation, the new formulation significantly improves the accuracy in the prediction of the system synchronization ranges. The technique has been tested by comparison with computationally demanding circuit-level harmonic balance simulations in an array of Van der Pol-type oscillators and then applied to a coupled system of FET-based oscillators at 5 GHz, with a very good agreement with measurements.
ISSN: 0018-9480
DOI: 10.1109/TMTT.2019.2912366
Source: Ieee Transactions On Microwave Theory And Techniques [ISSN 0018-9480], v. 67 (6), p. 2259-2269
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