TIME SERIES FORECASTING OF GENERATED POWER FROM TEXAS WIND TURBINE
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PRESENTATION OUTLINE
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Methodology
Results
Conclusion
Scope of Research
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Abstract
AUTHORS
Sara Antonijevic, Department of Statistics at Texas A&M University
Nicholas A. Hegedus, Department of Mechanical Engineering at the University of Nevada at Las Vegas
Nuri J. Omolara, Department of Industrial and Systems Engineering at North Carolina Agricultural & Technical State University
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RESEARCH ADVISORS
Kishore Bingi, Ph.D.
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Om Prakash Yadav, Ph.D.
Rosdiazli Ibrahim, Ph.D.
SCOPE OF RESEARCH & ABSTRACT
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RESEARCH AND METHODOLOGY
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Wind Turbine Information
DATA PRE-PROCESSING: VISUAL ANALYSIS
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Visual Analysis
Variables Considered:
DATA NORMALIZATION: CORRELATION ANALYSIS
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Correlation Analysis
Size of Correlation | Interpretation |
0.90 to 1.00 | -0.90 to –1.00 | Very high positive or negative correlation |
0.70 to 0.90 | -0.70 to –0.90 | High positive or negative correlation |
0.50 to 0.70 | -0.50 to –0.70 | Moderate positive or negative correlation |
0.30 to 0.50 | -0.30 to –0.50 | Low positive or negative correlation |
0.00 to 0.30 | 0.00 to –0.30 | Negligible/insignificant correlation |
ARCHITECTURE
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LSTM
NAR
NARX
Input Gate
Output Gate
Forget Gate
Decides which data components to use for adjusting the algorithm’s memory.
Evaluates which data pieces are unnecessary to create the next set of predictions.
Use the input and weighted data memory to determine the algorithm’s output.
RESULTS
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LSTM TRAINING
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75% of data (6750 samples)
RMSE
Root Mean Square Error
Loss Function
Measures the error of a particular guess.
Example: You make a guess for value X, but the actual value was Y.
LSTM TESTING AND RESULTS
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MSE: 1.5757
Right-Skew
Test for Predicting Next 100 Samples
25% of data (2190 samples)
NAR Results
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Type | MSE |
Training | 1.8410×104 |
Validation | 1.9018×104 |
Testing | 2.1093×104 |
On the top left, the graph depicts the targets and outputs for training, validation, and testing data. The distance in between the target and output is the error margin and the response creates a line plot for the data set.
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Type | MSE |
Training | 2.8684×10-4 |
Validation | 3.0183×10-4 |
Testing | 3.1311×10-4 |
NARX Results
This training Response Plot is a demonstration of wind speed trained as a predictor with hours as the response. The plot illustrates the targets of training, validating, and test targets compared to its outputs. The overall training yields a MSE that is significantly low. Thus, suggesting an accurate forecast.
NARX Results
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Type | MSE |
Training | 0.0013×10-4 |
Validation | 0.0013×10-4 |
Testing | 0.0013×10-4 |
Similar to the earlier Response Plot, this training is completed with systems power generated as the predictor, and hours, again, set as the response. In comparison to the earlier variable, this training also has notably low MSE.
Out of five variables, wind speed and systems power generated were the two most correlated variables in accurately forecasting projected energy.
COMPARISON
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� �Techniques | MSE | |
LSTM � | Training | 0.2823 |
Testing | 1.5757 | |
� NAR � | Training | 1.8410×104 |
Validation | 1.9018×104 | |
Testing | 2.1093×104 | |
� NARX � | Training | 2.8684×10-4 |
Validation | 3.0183×10-4 | |
Testing | 3.1311×10-4 | |
NARX has the lowest MSE scores, but it does not account for multivariate data.
Whilst LSTM holds the second smallest MSE (1.5757), it does account for all five variables.
The MSE is also skewed towards the right, meaning most errors are closer to 0, with outliers being the main reason the MSE is the second-best performer.
CONCLUSION
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FUTURE DIRECTIONS
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ACKNOWLEDGMENTS
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QUESTIONS?
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