Thermoacoustic hysteresis of a free-piston Stirling electric generator

Sun, Haojie; Yu, Guoyao; Zhao, Dan; Dai, Wei; Luo, Ercang

doi:10.1016/j.energy.2023.128177

Cited by 6 publications

(1 citation statement)

References 33 publications

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“…An increase in the temperature gradient results in a supercritical Hopf bifurcation, leading to a gradual increase in oscillation amplitude, whereas a subcritical Hopf bifurcation causes an abrupt amplitude jump at the Hopf point, where the system's stable steady-state becomes unstable and a stable limit cycle emerges. Subcritical cases have been extensively documented across various thermoacoustic engine configurations, including standing wave, traveling wave, phase change, and free-piston Stirling types [3][4][5][6][7][8][9][10][11]. Furthermore, a decrease in the temperature gradient reveals hysteresis in oscillation amplitude with subcritical Hopf bifurcations, eventually ceasing through a saddle-node bifurcation at a distinct fold point [2], which signifies the minimum temperature gradient necessary for engine operation.…”

Section: Introductionmentioning

confidence: 99%

Empirical Modeling of Subcritical Hopf Bifurcation of Thermoacoustic Stirling Engine

Lai,

Hsu

2024

Aerospace

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This study models the subcritical Hopf bifurcation in thermoacoustic Stirling engines using the Stuart–Landau model, highlighting the role of nonlinear dynamics. By inducing self-sustained oscillations and measuring pressure fluctuations across different temperature gradients imposed on the regenerator, we reveal the engine’s transition to a nonlinear domain, characterized by heightened oscillation amplitudes and unique periodic patterns. Interpreted Landau constants and growth rates illuminate the stabilizing effects of nonlinear dynamics, demonstrating the Stuart–Landau model’s applicability in thermoacoustic engine analysis. Our research confirms that this empirically refined model reliably describes oscillation amplitudes and transient phenomena, contributing valuable perspectives for advancing thermoacoustic engine design and operational understanding.

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