The paper presents a new piecewise (PW) semi-analytical formulation (SAF) to model the behavior of coupled oscillator systems. The key points are:
The previous SAF approach linearized the admittance function Y of each individual oscillator around a single free-running operating point, limiting its accuracy as the tuning voltage deviates from this point.
The new PW-SAF divides the tuning voltage range into multiple intervals and applies a local linearization within each interval. This provides a more accurate global model of the nonlinear Y function over the full tuning range.
The PW-SAF is validated by comparison with computationally intensive circuit-level Harmonic Balance (HB) simulations for an array of Van der Pol oscillators. It is then applied to model a coupled system of FET-based oscillators at 5 GHz, showing good agreement with measurements.
The PW-SAF enables modeling the asymmetric behavior that can arise due to differences between the individual oscillators, which was not considered in previous works.
The improved accuracy of the PW-SAF over the previous SAF is demonstrated, especially as the tuning voltage deviates from the linearization point used in the non-PW SAF.
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by Pedro Umpier... at arxiv.org 04-22-2024
https://arxiv.org/pdf/2404.12780.pdfDeeper Inquiries