Submitted:
03 June 2024
Posted:
03 June 2024
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Abstract
Keywords:
1. Introduction
2. Experimental Setup and Methodology
2.1. Concept of Investigation and Sensor Preparation
2.2. Experimental Setup

3. Machine Learning for Ice Detection and Control
3.1. Python Programming and Libraries
- SciPy: An open-source library for scientific computing, offering modules for optimization, linear algebra, signal processing, and special functions.
- NumPy: A numerical computing library that adds support for multi-dimensional arrays and high-level mathematical functions.
- Pandas: A data manipulation library designed for numerical tables and time series.
- Matplotlib: A plotting library that integrates with NumPy to provide an API for embedding plots in applications.
- scikit-learn: A machine learning library featuring algorithms for classification, regression, clustering, and model evaluation.
3.2. Data Collection and Ice Detection Using Machine Learning Algorithms
- True Positive (TP): The relevant class correctly detected by the model (ice formation).
- True Negative (TN): The irrelevant class correctly identified (non-ice formation).
- False Positive (FP): The irrelevant class mistakenly detected as relevant.
- False Negative (FN): The relevant class mistakenly detected as irrelevant.
3.3. Metrics
- Precision: Measures the portion of correctly detected relevant data points out of all detected relevant points.
- Recall: Measures the correctly detected relevant data points among all existing relevant points.
- F1 Score: Balances precision and recall.
- Accuracy: Indicates the proportion of correctly detected relevant and irrelevant data points among all data.
| s/n | Time | T (°C) | T (°C) |
|---|---|---|---|
| 1 | 18:42:55.632 | 6.732 | 6.760 |
| 2 | 18:42:55.797 | 6.621 | 6.683 |
| 3 | 18:42:56.009 | 6.348 | 6.487 |
| 4 | 18:42:56.216 | 6.041 | 6.213 |
| 5 | 18:42:56.430 | 5.704 | 5.830 |
| 6 | 18:42:56.590 | 5.406 | 5.545 |
| 7 | 18:42:56.798 | 5.028 | 5.214 |
| 8 | 18:42:57.007 | 4.686 | 4.852 |
| 9 | 18:42:57.213 | 4.363 | 4.529 |
| 10 | 18:42:57.420 | 4.040 | 4.239 |
3.4. Peak Identification for Ice Detection
3.5. Unsupervised Learning Approach
3.6. Supervised Learning Approach
4. Results

4.1. Performance Evaluation of Ice Detection Algorithm
5. Discussion
6. Conclusion
7. Patents
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| ATM | Aero-Thermo-Mechanics |
| ULB | Université Libre de Bruxelles |
| CREST | Centre for Research and Engineering in Space Technologies |
| GOPS | (3-glycidyloxypropyl)trimethoxysilane |
| PEDOT | Poly(3,4-ethylenedioxythiophene) |
| PSS | Poly(styrenesulfonate) |
| PVDF | Polyvinylidene fluoride or polyvinylidene difluoride |
| LMS | Least Mean Squares |
| MEMS | micro electro-mechanical systems |
| AI | Artificial Intelligence |
| ANN | Artificial Neural Network |
| CPU | Central Processing Unit |
| DR | Decision Tree |
| GPIO | General Purpose Input/Output |
| GPU | Graphics Processing Unit |
| GUI | Graphical User Interface |
| IDE | Integrated Development Environment |
| IDLE | Integrated Development and Learning Environment |
| I2C | Inter-Integrated Circuit |
| KNN | K-nearest Neighbors |
| LR | Logistic Regression |
| ML | Machine Learning |
| NN | Neural Network |
| OS | Operating System |
| PID | Process Identifier |
| PWM | Pulse Width Modulation |
| SBC | Single-Board Computer |
| SPI | Serial Peripheral Interface |
| SVM | Support Vector Machine |
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| s/n | Peak Properties | Unit | Passive Mode |
|---|---|---|---|
| 1 | Maximum Height | C | 2.0 |
| 2 | Minimum Height | C | 0.8 |
| 3 | Maximum Width | sec | 1.5 |
| 4 | Minimum Width | sec | 0.5 |
| t1 | t2 | t3 | t4 | t5 |
|---|---|---|---|---|
| 6.732 | 6.621 | 6.348 | 6.041 | 5.704 |
| 6.621 | 6.348 | 6.041 | 5.704 | 5.406 |
| 6.348 | 6.041 | 5.704 | 5.406 | 5.028 |
| 6.041 | 5.704 | 5.406 | 5.028 | 4.686 |
| 5.704 | 5.406 | 5.028 | 4.686 | 4.363 |
| Parameters | Values |
|---|---|
| t1 Coefficient | -0.0326796 |
| t2 Coefficient | 0.02786471 |
| t3 Coefficient | -0.02323838 |
| t4 Coefficient | 0.10516002 |
| t5 Coefficient | 0.04234012 |
| Intercept | -6.59001252 |
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