Abstract
The requirement for an accurate engine thrust model has a major antecedence in airline fuel saving programs, assessment of environmental effects of fuel consumption, emissions reduction studies, and air traffic management applications. In this study, utilizing engine manufacturers’ real data, a metaheuristic model based on genetic algorithms (GAs) and a machine learning model based on neural networks (NNs) trained with Levenberg-Marquardt (LM), delta-bar-delta (DBD), and conjugate gradient (CG) algorithms were accomplished to incorporate the effect of both flight altitude and Mach number in the estimation of thrust. For the GA model, the analysis of population size impact on the model’s accuracy and effect of number of data on model coefficients were also performed. For the NN model, design of optimum topology was searched for one- and two-hidden-layer networks. Predicted thrust values presented a close agreement with real thrust data for both models, among which LM trained NNs gave the best accuracies.
Nomenclature
- Abbreviations
- ATM
Air traffic management
- BADA
Base of Aircraft Data
- CG
Conjugate gradient
- CV
Cross-validation
- DBD
Delta-bar-delta
- FNN
Feed-forward neural network
- GA
Genetic algorithm
- HL
Hidden layer
- IP
Intellectual Property
- LM
Levenberg-Marquardt
- MAPE
Mean absolute percentage error
- MSE
Mean squared error
- NN
Neural network
- PE
Processing elements
- Symbols
- ai, bi
Genetic algorithm thrust model coefficients (i=1–3)
- ei
Output error for every input pattern of the network
- E
Error function of the network
- h
Flight altitude
- I
Identity matrix
- J
Jacobian matrix
- M
Mach number
- r
Linear correlation coefficient
- t
Time
- T
Engine cruise thrust
- V
Sum of squared error function of the network
- w
Weight vector of the neural network
- α
Learning rate
- αk
Variable learning rate
- θ
Smoothing factor
- κ
Additive constant
- λ
Non-negative gain
- ϕ
Multiplicative constant
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Effects of Cavity Configurations on Flameholding and Performances of Kerosene Fueled Scramjet Combustor
- Metaheuristic and Machine Learning Models for TFE-731-2, PW4056, and JT8D-9 Cruise Thrust
- Design Optimization Method for Composite Components Based on Moment Reliability-Sensitivity Criteria
- Use Deflected Trailing Edge to Improve the Aerodynamic Performance and Develop Low Solidity LPT Cascade
- A Co-modeling Method Based on Component Features for Mechatronic Devices in Aero-engines
- Evaluation and Analysis of Curvature-Corrected Filter-based Turbulent Model
- Aircraft Engine Thrust Estimator Design Based on GSA-LSSVM
- Effect of Inner Nozzle Lip Thickness on Co-flow Jet Characteristics
- Comparisons of Two Non-probabilistic Structural Reliability Analysis Methods for Aero-engine Turbine Disk
Articles in the same Issue
- Frontmatter
- Effects of Cavity Configurations on Flameholding and Performances of Kerosene Fueled Scramjet Combustor
- Metaheuristic and Machine Learning Models for TFE-731-2, PW4056, and JT8D-9 Cruise Thrust
- Design Optimization Method for Composite Components Based on Moment Reliability-Sensitivity Criteria
- Use Deflected Trailing Edge to Improve the Aerodynamic Performance and Develop Low Solidity LPT Cascade
- A Co-modeling Method Based on Component Features for Mechatronic Devices in Aero-engines
- Evaluation and Analysis of Curvature-Corrected Filter-based Turbulent Model
- Aircraft Engine Thrust Estimator Design Based on GSA-LSSVM
- Effect of Inner Nozzle Lip Thickness on Co-flow Jet Characteristics
- Comparisons of Two Non-probabilistic Structural Reliability Analysis Methods for Aero-engine Turbine Disk