Nonlinear Hopf Bifurcation Analysis for Predicting Stable Limit Cycles in Solar Stirling Thermal Oscillators

Articles in Press

Document Type : Research Paper

Authors

Department of Mechanical Engineering, Iranian Research Organization for Science and Technology (IROST), Tehran, Iran

10.22104/hfe.2025.7769.1375

Abstract

In recent years, the Solar Stirling Thermal Oscillator (SSTO) has emerged as one of the most effective systems for converting solar energy into mechanical and electrical energy, attracting significant interest from researchers. The main challenge in harnessing these oscillators is to ensure the establishment of stable oscillations in their nonlinear dynamics for consistent and reliable performance. The main contribution of this work is the introduction and application of bifurcation theory for the first time to analyze the nonlinear dynamic behavior of the SSTO and to precisely identify the critical points at which stable limit cycles emerge. In this study, by studying the effects of crucial parameters such as power piston mass, stiffness spring of the displacer piston, and the hot source temperature, the critical ranges related to the onset of stable oscillations in the SSTO have been determined. The outcomes demonstrate that bifurcation analysis provides a novel and powerful tool for assessing and optimizing the design of SSTOs, enabling reliable prediction and assurance of stable dynamic performance before practical implementation. This method offers an effective and new pathway for the reliable and cost-efficient design of SSTOs.

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Main Subjects

Hydrogen, Fuel Cell & Energy Storage

Articles in Press, Accepted Manuscript
Available Online from 15 October 2025

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