On the Stability of Oscillatory Modes in an Oscillator Based on a Distributed Amplifier

Filip, Jan; Suárez, Almudena; Skvor, Z.

doi:10.1109/tmtt.2022.3226454

Cited by 1 publication

(1 citation statement)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…H YSTERESIS phenomena versus the input power and other parameters are intrinsic to the behavior of nonlinear resonators [1], [2], [3], [4], [5], [6], [7]. This hysteresis is associated with the coexistence of periodic steady-state solutions in some parameter intervals, delimited by turning points, at which the slope of the solution curve tends to infinite.…”

Section: Introductionmentioning

confidence: 99%

Generalized Analysis of Systems Based on Two Nonlinear Resonators

Suárez,

Ramírez

2024

IEEE Trans. Microwave Theory Techn.

Self Cite

View full text Add to dashboard Cite

Circuits containing two nonlinear resonators have been recently proposed for a variety of applications, such as nonlinear isolators, robust wireless power transfer, and sensors. However, their simulation is difficult due to the presence of hysteresis phenomena, associated with turning points in the solution curve, and even disconnected curves, as will be shown in this work. Here, we will present a general analysis methodology, compatible with commercial harmonic balance (HB) and able to provide all the coexisting periodic solutions. It is based on the use of two auxiliary generators (AGs), one per nonlinear resonator. The first AG acts like an independent source and controls the second one, which also depends on the input source, unlike a previously presented formulation. This extra dependence enables a systematic and broad-scope application but demands a conceptually different analysis strategy, presented in this work. Besides its numerical capabilities (in combination with HB), the new formulation will provide insight into the complex behavior of systems composed by two nonlinear resonators. It will be illustrated through its application to a Lorentzian-Fano nonlinear isolator and a system for robust near-field wireless power transfer, in which the new formulation particularizes to the previous one.

show abstract