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

Although the Stirling engine (SE) had been invented many years ago, the investigation on it is still going on among many researches due to variety of input energy resources such as, solar energy, fossil fuel, biomass and geothermal energy. In this paper, the thermodynamic cycle of a Stirling engine is analyzed by employing a new analytical model. A new method is presented to evaluate the output power and efficiency of real Stirling engines. In this method, correcting functions are applied on the Schmidt equations to achieve more accurate results with respect to the adiabatic model. This approach eliminates the numerical procedures as well as the iterative solver. It is also able the results to achieve more accuracy with openform solution. A non-linear regression is performed on the Schmidt equations to achieve the correctness factors. The correctness factors are function of structural and operational characteristics of the engine. Moreover, available output data of GPU-3 SE was compared with the results of this model. The comparison indicates that the model results are in good agreement with the SE output. Thus, this model may use as an appropriate method for modeling the Stirling engines outputs.