Abstract
In the present study, artificial neural network (ANN) model has been developed with two different training algorithms to predict the thermal efficiency of wire rib roughened solar air heater. Total 50 sets of data have been taken from experiments with three different types of absorber plate. The experimental data and calculated values of collector efficiency were used to develop ANN model. Scaled conjugate gradient (SCG) and Levenberg–Marquardt (LM) learning algorithms were used. It has been found that TRAINLM with 6 neurons and TRAINSCG with 7 neurons is optimal model on the basis of statistical error analysis. The performance of both the models have been compared with actual data and found that TRAINLM performs better than TRAINSCG. The value of coefficient of determination \((\hbox {R}^{2})\) for LM-6 is 0.99882 which gives the satisfactory performance. Learning algorithm with LM based proposed MLP ANN model seems more reliable for predicting performance of solar air heater.
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Abbreviations
- \(A_{C}\) :
-
Area of collector surface \((\hbox {m}^{2})\)
- ANN:
-
Artificial neural networks
- \(a_{i}\) :
-
Input data
- \(b_{j}\) :
-
Bias
- \(C_{p}\) :
-
Specific heat \((\hbox {J kg}^{-1}\hbox {K}^{-1})\)
- COV :
-
Coefficient of variance
- e :
-
Roughness height (mm)
- e / D :
-
Relative roughness height
- I :
-
Solar intensity \((\hbox {W m}^{-2})\)
- LM :
-
Levenberg–Marquardt
- m :
-
Mass flow rate of air \((\hbox {kg s}^{-1})\)
- MSE :
-
Mean square error
- MAE :
-
Mean absolute error
- MRE :
-
Mean relative error
- MLP :
-
Multi-layered perceptron
- P / e :
-
Relative roughness pitch
- \(Q_{c}\) :
-
Energy gained by collector (W)
- \(Q_{u}\) :
-
Energy gained by air (W)
- RMSE :
-
Root mean square error
- R :
-
Correlation coefficient
- \(R^{2}\) :
-
Coefficient of multiple determination
- SSE :
-
Sum square error
- SCG :
-
Scaled conjugate gradient
- T :
-
Temperature (\({^\circ }\)C)
- \(w_{ij}\) :
-
Weights
- \(X_{a}\) :
-
Actual value
- \(X_{b}\) :
-
Predicted value
- Y :
-
Experimental data
- \(\upeta _{th} \) :
-
Thermal efficiency of collector (%)
- a :
-
Ambient air
- fi :
-
Inlet air
- fo :
-
Outlet air
- fm :
-
Mean air
- min :
-
Minimum
- max :
-
Maximum
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Ghritlahre, H.K., Prasad, R.K. Development of Optimal ANN Model to Estimate the Thermal Performance of Roughened Solar Air Heater Using Two different Learning Algorithms. Ann. Data. Sci. 5, 453–467 (2018). https://doi.org/10.1007/s40745-018-0146-3
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DOI: https://doi.org/10.1007/s40745-018-0146-3