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A novel unified dynamic-thermodynamic method for estimating damping and predicting performance of kinematic Stirling engines

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  • Yousefzadeh, H.
  • Tavakolpour-Saleh, A.R.

Abstract

This paper presents a novel unified dynamic-thermodynamic (UDT) method to achieve the damping coefficient and overall performance of a kinematic Stirling engine. First, dynamic, kinematic, thermodynamic, and heat transfer equations are used to present a comprehensive model of a gamma-type Stirling engine. The equivalent inertia method is proposed to present a compact form of motion equation of the engine. Then, the proposed mathematical scheme is further employed to predict the engine speed corresponding to different values of the damping coefficient. Subsequently, a prototype Stirling engine is developed and tested to achieve the practical engine speed. Therefore, the damping coefficient of the developed gamma-type Stirling engine is identified through the proposed dynamic model taking into account the measured engine speed. Next, the overall performance of the Stirling engine in terms of engine frequency, output power, work, efficiency, gas pressure, and gas temperature is simulated via the proposed model considering finite heat transfer, imperfect regeneration, and frictional damping. Finally, the prototype Stirling engine is tested to validate the proposed mathematical procedure as well as to verify the identified damping coefficient. The good agreement between the simulation and experimental results reveal the effectiveness of the proposed modeling scheme.

Suggested Citation

  • Yousefzadeh, H. & Tavakolpour-Saleh, A.R., 2021. "A novel unified dynamic-thermodynamic method for estimating damping and predicting performance of kinematic Stirling engines," Energy, Elsevier, vol. 224(C).
    • Handle: RePEc:eee:energy:v:224:y:2021:i:c:s0360544221004710
    DOI: 10.1016/j.energy.2021.120222
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