Utilization of Fifth-Order Model in Analyzing Stirling Oscillators

Articles in Press

Document Type : Research Paper

Authors

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

2 Department of Mechanical Engineering, Firouzabad Higher Education Center, Shiraz University of Technology, Shiraz, Iran

Abstract

In this paper, for the first time, the design of a free-piston Stirling oscillator (FPSO) using a fifth-order model is addressed. Initially, the free-piston Stirling oscillator is introduced. Then, considering the limited heat transfer coefficient, the fifth-order mechanical model of the oscillator is derived. Following that, the parameters, including the mass and stiffness of the power and pistons, and the cross-section area of the rod connected to the displacer piston, are considered as the design parameters. Subsequently, the design parameters are estimated based on the objectives (a desired frequency between 70 and 100 rad/s, and the real part of the dominant closed-loop pole between 5 and 17) and the fifth-order mechanical model. Then, through nonlinear analysis, the effect of variations in frequency and the real part of the dominant closed-loop poles on output power and the phase difference between the pistons of the oscillator is investigated. The results of this study indicate that the use of a fifth-order model provides a more accurate evaluation and analysis of the dynamic behavior of this type of oscillator.

Keywords

Main Subjects

Hydrogen, Fuel Cell & Energy Storage

Articles in Press, Accepted Manuscript
Available Online from 17 December 2024

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