Predictive modeling of performance of a helium charged Stirling engine using an artificial neural network

In this study, an artificial neural network (ANN) model was developed to predict the torque and power of a beta-type Stirling engine using helium as the working fluid. The best results were obtained by 5-11-7-1 and 5-13-7-1 network architectures, with double hidden layers for the torque and power respectively. For these network architectures, the Levenberg–Marquardt (LM) learning algorithm was used. Engine performance values predicted with the developed ANN model were compared with the actual performance values measured experimentally, and substantially coinciding results were observed. After ANN training, correlation coefficients (R2) of both engine performance values for testing and training data were very close to 1. Similarly, root-mean-square error (RMSE) and mean error percentage (MEP) values for the testing and training data were less than 0.02% and 3.5% respectively. These results showed that the ANN is an acceptable model for prediction of the torque and power of the beta-type Stirling engine.

► Max torque and power values were obtained at 3.5 bar Pch, 1273 K Hst and 1.4:1 r.
► According to ANOVA, the most influential parameter on power was Hst with 48.75%.
► According to ANOVA, the most influential parameter on torque was Hst with 41.78%.
► ANN (R2 = 99.8% for T, P) was superior to regression method (R2 = 92% for T, 81% for P).
► LM was the best learning algorithm in predicting both power and torque.