A new approach for Modeling and Evaluation of efficiency and power generation in Sterling engine; Analytical study

Although, the Stirling engine (SE) was invented many years ago, the investigation on SE is still interesting due to variety of energy resources can be applied to power it (solar energy, fossil fuel, biomass and geothermal energy). In this paper, the thermodynamic cycle of SE is analyzed by employing a new analytical model and a new method is presented to evaluate output power and efficiency of real engines. Using the correcting functions; represent more accurate results for known Schmidt equations respect to adiabatic model. So without need to employing numerical methods and iterative solver programs, analogous results with accuracy and correctness of open-form solution-adiabatic method is obtained. The modeling of results of two methods is done by Non-linear Multiple Regression and new equations based on Schmidt equations with new correctness factors is presented. The correctness factors are function of structural and operational characteristics of engine.  Moreover, available output data of GPU-۳ SE was compared. These comparisons show good agreement, indicating that the model is an appropriate method for modeling of SE outputs.

Keywords:

Stirling engine , analytical solution , non-linear regression , thermodynamic analysis