Prediction of the Electricity Generation of a 60-kW Photovoltaic System with Intelligent Models ANFIS and Optimized ANFIS-PSO
Abstract
:1. Introduction
2. Experimental Setup and Data Processing
3. Methodology of the Predictive Models
3.1. ANFIS Model
3.2. ANFIS Optimized with Swarm Intelligence Algorithms
4. Results
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
ANFIS | Adaptive Neuro Fuzzy Inference System |
PSO | Particle Swarm Optimitation |
PV | Photovoltaic |
kW | Kilowatt |
kWh | Kilowatt-hour |
kWp | Kilowatt peak |
CO2 | Dioxide of carbon |
RMSE | Root Mean Square Error |
RMSPE | Root Mean Square Percentage Error |
MAE | Mean Absolute Error |
MAPE | Mean Absolute Error in Percent |
VMD | Variational Modal Decomposition |
LSTM | Long Short-Term Memory |
RVM | Network and Relevance Vector Machine |
GA | Genetic algorithm |
DB | Data Base |
TMY | Typical Meteorological Year |
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Input Variables | Power (kW) | ||
---|---|---|---|
Coefficient | Correlation | R2 | |
Global horizontal solar radiation | Pearson | 0.997 | 0.994 |
Module temperature | Pearson | 0.94 | 0.88 |
Ambient temperature | Pearson | 0.86 | 0.74 |
Wind speed | Spearman | 1.16 | 1.35 |
Parameters | Value |
---|---|
Initial population | 25 |
Iterations | 1000 |
Inertia coefficient | 1 |
Personal acceleration coefficient | 1 |
Global acceleration coefficient | 2 |
Damping ratio of the inertial coefficient | 0.99 |
Training population | 157,810 |
Train (%) | Test (%) | MAPE (%) | Difference (%) |
---|---|---|---|
70 | 30 | 0.556 | 0 |
75 | 25 | 0.581 | 4.5 |
80 | 20 | 0.602 | 8.28 |
Parameters | Data Statistics | |||
---|---|---|---|---|
RMSE (kW) | RMSPE (%) | MAE (kW) | MAPE (%) | |
ANFIS | 1.797 | 3.07 | 0.864 | 1.478 |
ANFIS-PSO | 0.747 | 1.29 | 0.325 | 0.556 |
Month | MAPE (%) | |
---|---|---|
ANFIS | ANFIS-PSO | |
April | 1.686 | 0.512 |
May | 1.651 | 0.738 |
June | 1.484 | 0.43 |
July | 1.682 | 0.49 |
August | 1.678 | 0.557 |
September | 1.713 | 0.527 |
October | 1.25 | 0.532 |
November | 1.489 | 0.8 |
December | 1.525 | 0.9 |
SOURCE | Period | Week 1 (kWh) | Week 2 (kWh) | Week 3 (kWh) | Week 4 (kWh) | Total (kWh) |
---|---|---|---|---|---|---|
Experimental data | June | 2117.5 | 1748.1 | 1844.1 | 1517.5 | 7227.2 |
ANFIS-PSO | 2122.9 | 1725.7 | 1896.9 | 1474.5 | 7220 | |
ANFIS | 2115.1 | 1734.5 | 1841.9 | 1543.8 | 7235.3 | |
Difference with experimental data (%) | Mean (%) | |||||
ANFIS-PSO | 0.26 | −1.28 | 2.86 | −2.83 | −0.25 | |
ANFIS | −0.11 | −0.78 | −0.12 | 1.73 | 0.18 | |
Experimental data | October | 1844.5 | 1650.9 | 1554.2 | 1844.1 | 6893.7 |
ANFIS-PSO | 1788.7 | 1585.2 | 1569.2 | 1896.9 | 6840 | |
ANFIS | 1805 | 1640.6 | 1572.2 | 1841.9 | 6859.7 | |
Difference with experimental data (%) | Mean (%) | |||||
ANFIS-PSO | −3.03 | −3.98 | 0.97 | 2.86 | −0.8 | |
ANFIS | −2.14 | −0.62 | 1.16 | −0.12 | −0.43 |
SOURCE | Period | Day 1 (kWh) | Day 2 (kWh) | Day 3 (kWh) | Day 4 (kWh) | Day 5 (kWh) | Day 6 (kWh) | Day 7 (kWh) | Total (kWh) |
---|---|---|---|---|---|---|---|---|---|
Experimental | June | 244.2 | 193.3 | 278.2 | 306.7 | 273.8 | 304.0 | 147.8 | 1748.1 |
ANFIS-PSO | 245.9 | 186.1 | 274.6 | 305.0 | 271.4 | 301.0 | 141.7 | 1725.7 | |
ANFIS | 239.4 | 196.2 | 272.9 | 301.2 | 270.3 | 292.5 | 161.9 | 1734.4 | |
Difference with experimental data (%) | Mean (%) | ||||||||
ANFIS-PSO | 0.7 | −3.7 | −1.3 | −0.5 | −0.9 | −1 | −4.1 | −1.6 | |
ANFIS | −1.9 | 1.5 | −1.9 | −1.8 | −1.3 | −3.8 | 9.5 | 0.04 | |
Experimental | October | 318.6 | 300.7 | 270.5 | 118.5 | 89.4 | 244.3 | 212.1 | 1554.3 |
ANFIS-PSO | 319 | 311.3 | 276.0 | 116.9 | 88.9 | 244.7 | 212.3 | 1569.1 | |
ANFIS | 313.4 | 301 | 264 | 125.22 | 101.89 | 248.65 | 217.99 | 1572.15 | |
Difference with experimental data (%) | Mean (%) | ||||||||
ANFIS-PSO | 0.12 | 3.54 | 2.04 | −1.35 | −0.63 | 0.14 | 0.08 | 0.6 | |
ANFIS | −1.64 | 0.11 | −2.41 | 5.64 | 13.92 | 1.77 | 2.75 | 2.9 |
Statistic Metric | ||||||
---|---|---|---|---|---|---|
Models | Reference | Output (kW) Power | Predictive Period | RMSE (kW) | MAE (kW) | MAPE (%) |
ANFIS | This work | 60 | Eight months | 1.797 | 0.864 | 1.478 |
ANFIS-PSO | This work | 60 | Eight months | 0.747 | 0.325 | 0.556 |
ANFIS-GA | [45] | 3.1 | 2.5 months | 0.259 | 0.132 | 4.56 |
VMD-LSTM-RVM | [25] | 200 | 10 h | 3.04 | No reported | 2.27 |
CASE | VARIABLES | RSME (kW) | MAE (kW) | MAPE (%) | |||
---|---|---|---|---|---|---|---|
Train | Test | Train | Test | Train | Test | ||
1 | Module and ambient temperatures | 3.309 | 3.702 | 1.899 | 2109 | 3.25 | 3.6 |
2 | Solar radiation and ambient temperature | 1.108 | 0.77 | 0.44 | 0.332 | 0.76 | 0.57 |
3 | Solar radiation, ambient temperature, and wind velocity | 1.104 | 0.788 | 0.459 | 0.336 | 0.79 | 0.63 |
4 | Module and ambient temperatures and wind velocity | 3.171 | 3.594 | 1.704 | 1.99 | 2.92 | 3.4 |
5 | Solar radiation, module and ambient temperatures, and wind velocity | 1.085 | 0.747 | 0.432 | 0.325 | 0.74 | 0.55 |
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Lara-Cerecedo, L.O.; Hinojosa, J.F.; Pitalúa-Díaz, N.; Matsumoto, Y.; González-Angeles, A. Prediction of the Electricity Generation of a 60-kW Photovoltaic System with Intelligent Models ANFIS and Optimized ANFIS-PSO. Energies 2023, 16, 6050. https://doi.org/10.3390/en16166050
Lara-Cerecedo LO, Hinojosa JF, Pitalúa-Díaz N, Matsumoto Y, González-Angeles A. Prediction of the Electricity Generation of a 60-kW Photovoltaic System with Intelligent Models ANFIS and Optimized ANFIS-PSO. Energies. 2023; 16(16):6050. https://doi.org/10.3390/en16166050
Chicago/Turabian StyleLara-Cerecedo, Luis O., Jesús F. Hinojosa, Nun Pitalúa-Díaz, Yasuhiro Matsumoto, and Alvaro González-Angeles. 2023. "Prediction of the Electricity Generation of a 60-kW Photovoltaic System with Intelligent Models ANFIS and Optimized ANFIS-PSO" Energies 16, no. 16: 6050. https://doi.org/10.3390/en16166050