Piecewise semi-analytical formulation for the analysis of coupled-oscillator systems

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URI: http://hdl.handle.net/10902/18068
ISSN: 0018-9480
ISSN: 1557-9670
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Autoría
Umpiérrez Rodríguez, Pedro; Araña Pulido, Víctor; Sancho Lucio, Sergio MiguelAutoridad Unican
Fecha
2019-06
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© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publicado en
IEEE Transactions on Microwave Theory and Techniques, 2019, 67(6), 2259-2269
Editorial
Institute of Electrical and Electronics Engineers Inc.
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Palabras clave
Coupled-oscillator system
Harmonic balance
Phased arrays
Resumen/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.
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