Evolving Dynamic Bayesian Networks for CO2 Emissions Forecasting in Multi-Source Power Generation Systems
Keywords:
CO2 emissions forecasting, Energy Management and Sustainability, Dynamic Bayesian Networks, Multi-Source power generation systemAbstract
Global warming is a significant challenge. Among the contributors, CO2 emission is the foremost, and almost 40% of global emissions come from electricity generation. In this sense, an accurate prediction of CO2 emissions in a multi-source system combining traditional and renewable sources can be used to support the reduction of carbon emissions without affecting the energy demand-supply. Despite the several relevant research in this topic, because of higher uncertainty and variability caused mainly by the intermittent nature of renewable energy, CO2 emissions forecasting in multi-source power generation systems is a current challenge. This paper presents CO2 emissions forecasting for multi-source power generation systems using evolving discrete Dynamic Bayesian Networks. Our proposal uses an analytical threshold for selecting directed edges by the occurrence frequency as data arrives, allowing a constant adaptation to smoothly converges into a robust forecast model. It was tested using real data from multi-source power generation systems of Belgium, Germany, Portugal, and Spain. Its performance was compared with other forecasting methods. Comparing the results against a traditional DBN that not evolves the structure over time, our proposal was superior highlighting a contribution of performance improvement. The proposed method was better when compared against ANN and XgBoost, with the difference in performance statistically significant.
Downloads
References
M. R. Qader, S. Khan, M. Kamal, M. Usman, and M. Haseeb, “Forecasting carbon emissions due to electricity power generation in bahrain,” Environmental Science and Pollution Research, vol. 29, no. 12, pp.17 346–17 357, 2022.
P. R. Jena, S. Managi, and B. Majhi, “Forecasting the co2 emissions at the global level: A multilayer artificial neural network modelling,” Energies, vol. 14, no. 19, 2021.
T. M. O. Santos, J. N. O. Júnior, M. Bessani, and C. D. Maciel, “Co2 emissions forecasting in multi-source power generation systems
using dynamic bayesian network,” in 2021 IEEE International Systems Conference (SysCon), 2021, pp. 1–8.
H. HUANG and F. LI, “Bidding strategy for wind generation considering conventional generation and transmission constraints,” Journal of Modern Power Systems and Clean Energy, vol. 3, pp. 51–62, 2015.
NASA. (2020) Vital signs - carbon dioxide. [Online]. Available: https://climate.nasa.gov/vital-signs/carbon-dioxide/
A. Jahanger, M. Usman, and P. Ahmad, “A step towards sustainable path: The effect of globalization on china’s carbon productivity from panel threshold approach,” Environmental Science and Pollution Research, vol. 29, pp. 8353–8368, 2021.
R. Amna Intisar, M. R. Yaseen, R. Kousar, M. Usman, and M. S. A. Makhdum, “Impact of trade openness and human capital on economic growth: A comparative investigation of asian countries,” Sustainability, vol. 12, no. 7, 2020.
L. Fiorini and M. Aiello, “Energy management for user’s thermal and power needs: A survey,” Energy Reports, vol. 5, pp. 1048 – 1076, 2019.
N. D. Bokde, B. Tranberg, and G. B. Andresen, “Short-term co2 emissions forecasting based on decomposition approaches and its impact on electricity market scheduling,” Applied Energy, vol. 281, p. 116061, 2021.
M. Panait, L. R. Janjua, S. A. Apostu, and C. Mih ̆aescu, “Impact factors to reduce carbon emissions. evidences from latin america,” Kybernetes, 2022.
X. Hu, P. Li, and Y. Sun, “Minimizing energy cost for green data center by exploring heterogeneous energy resource,” Journal of Modern Power Systems and Clean Energy, vol. 9, no. 1, pp. 148–159, 2021.
C. ZHANG, Y. DING, Q. WANG, Y. XUE, and J. OSTERGAARD, “Uncertainty-averse transco planning for accommodating renewable
energy in co2 reduction environment,” Journal of Modern Power Systems and Clean Energy, vol. 3, pp. 24–32, 2015.
L. Fiorini and M. Aiello, “Household co2-efficient energy management,” Energy Informatics, vol. 1, pp. 22–34, 2018.
L. Liu, H. Sun, C. Li, Y. Hu, T. Li, and N. Zheng, “Exploring customizable heterogeneous power distribution and management for
datacenter,” IEEE Transactions on Parallel and Distributed Systems, vol. 29, no. 12, pp. 2798–2813, 2018.
S. Bouziane and M. Khadir, “Predictive agents for the forecast of co2 emissions issued from electrical energy production and gas consumption,” Advances in Intelligent Systems and Computing, vol. 1076, pp. 183–191, 2020.
Z. Xu, L. Liu, and L. Wu, “Forecasting the carbon dioxide emissions in 53 countries and regions using a non-equigap grey model,” Environmental Science and Pollution Research, vol. 28, p. 15659–15672, 2021.
F. Sun and T. Jin, “A hybrid approach to multi-step, short-term wind speed forecasting using correlated features,” Renewable Energy, vol.186, pp. 742–754, 2022.
S. Zhang and J. J. Yu, “Bayesian deep learning for dynamic power system state prediction considering renewable energy uncertainty,” Journal of Modern Power Systems and Clean Energy, vol. 10, no. 4, pp. 913–922, 2022.
X. Liu, D. Tang, and Z. Dai, “A bayesian game approach for demand response management considering incomplete information,” Journal of Modern Power Systems and Clean Energy, vol. 10, no. 2, pp. 492–501, 2022.
Y. Zhao, W. Zhu, M. Yang, and M. Wang, “Bayesian network based imprecise probability estimation method for wind power ramp events,” Journal of Modern Power Systems and Clean Energy, vol. 9, no. 6, pp. 1510–1519, 2021.
J. Chen, E. Chu, Y. Li, B. Yun, H. Dang, and Y. Yang, “Faulty feeder identification and fault area localization in resonant grounding system based on wavelet packet and bayesian classifier,” Journal of Modern Power Systems and Clean Energy, vol. 8, no. 4, pp. 760–767, 2020.
J. QIU, Z. DONG, J. ZHAO, K. MENG, F. LUO, K. P. WONG, and C. LU, “A low-carbon oriented probabilistic approach for transmission
expansion planning,” Journal of Modern Power Systems and Clean Energy, vol. 3, pp. 14–23, 2015.
J. Pearl and D. Mackenzie, The Book of Why: The New Science of Cause and Effect, 1st ed. New York, NY, USA: Basic Books, Inc., 2018.
T. M. de Oliveira Santos, I. Nunes da Silva, and M. Bessani, “Evolving dynamic bayesian networks by an analytical threshold for dealing with data imputation in time series dataset,” Big Data Research, vol. 28, p.100316, 2022.
H. Wang, L. Wang, Q. Yu, Z. Zheng, A. Bouguettaya, and M. R. Lyu, “Online reliability prediction via motifs-based dynamic bayesian
networks for service-oriented systems,” IEEE Transactions on Software Engineering, vol. 43, no. 6, pp. 556–579, 2017.
Q. Meng, Y. Wang, J. An, Z. Wang, B. Zhang, and L. Liu, “Learning non-stationary dynamic bayesian network structure from data stream,” in 2019 IEEE Fourth International Conference on Data Science in Cyberspace (DSC), 2019, pp. 128–134.
M. Bessani, J. A. Massignan, T. M. Santos, J. B. London, and C. D. Maciel, “Multiple households very short-term load forecasting using bayesian networks,” Electric Power Systems Research, vol. 189, p. 106733, 2020.
N. Bassamzadeh and R. Ghanem, “Multiscale stochastic prediction of electricity demand in smart grids using bayesian networks,” Applied Energy, vol. 193, pp. 369 – 380, 2017.
D. Weisser, “A guide to life-cycle greenhouse gas (ghg) emissions from electric supply technologies,” Energy, vol. 32, no. 9, pp. 1543 – 1559, 2007.
R. E. Neapolitan, Learning Bayesian Networks. Pearson Prentice Hall Upper Saddle River, 2004.
T. J. Gross, M. Bessani, W. D. Junior, R. B. Araújo, F. A. C. Vale, and C. D. Maciel, “An analytical threshold for combining bayesian networks,” Knowledge-Based Systems, vol. 175, pp. 36 – 49, 2019.
M. Scutari, “An empirical-bayes score for discrete bayesian networks,” in Conference on Probabilistic Graphical Models, 2016, pp. 438–448.
M. Scutari, “Dirichlet bayesian network scores and the maximum relative entropy principle,” Behaviormetrika, vol. 45, pp. 337 – 362, 2018.
D. Koller, N. Friedman, and F. Bach, Probabilistic graphical models: principles and techniques. MIT press, 2009.
J. Pearl, “Chapter 3 - markov and bayesian networks: Two graphical representations of probabilistic knowledge,” in Probabilistic Reasoning in Intelligent Systems, J. Pearl, Ed. San Francisco (CA): Morgan Kaufmann, 1988, pp. 77–141.
M. Scutari and R. Nagarajan, “Identifying significant edges in graphical models of molecular networks,” Artificial Intelligence in Medicine, vol. 57, no. 3, pp. 207 – 217, 2013.
N. Friedman, M. Goldszmidt, and A. Wyner, “Data analysis with bayesian networks: A bootstrap approach,” Proc Fifteenth Conf on Uncertainty in Artificial Intelligence (UAI), 01 2013.
N. Peker and C. Kubat, “Application of chi-square discretization algorithms to ensemble classification methods,” Expert Systems with Applications, vol. 185, p. 115540, 2021.
H. Shimazaki and S. Shinomoto, “A method for selecting the bin size of a time histogram,” Neural computation, vol. 19, pp. 1503–27, 2007.
X. Gu, J. Guo, L. Xiao, and C. Li, “Conditional mutual information based feature selection algorithm for maximal relevance minimal redundancy,” Applied Intelligence, vol. 52, no. 2, p. 1436 – 1447, 2022.
T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing). Wiley-Interscience, 2006.
N. Chakraborty and P. J. Van Leeuwen, “Using mutual information to measure time lags from nonlinear processes in astronomy,” Physical Review Research, vol. 4, no. 1, 2022.
ENTSO-E. (2021) Transparency platform restful api - user guide. [Online]. Available: https://www.entsoe.eu/data/transparency-platform/
J. Su, H. Fang, W. Bao, H. Sun, J. Gao, and L. Zhao, “A maximum a posteriori estimation based method for estimating pulse time delay,” Advances in Space Research, vol. 69, no. 11, p. 3966 – 3982, 2022.
A. U. Rehman, T. T. Lie, B. Vallès, and S. R. Tito, “Comparative evaluation of machine learning models and input feature space for non-intrusive load monitoring,” Journal of Modern Power Systems and Clean Energy, vol. 9, no. 5, pp. 1161–1171, 2021.
F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duch-esnay, “Scikit-learn: Machine learning in Python,” Journal of Machine Learning Research, vol. 12, pp. 2825–2830, 2011.
J. Han, N. Liu, and J. Shi, “Optimal scheduling of distribution system with edge computing and data-driven modeling of demand response,” Journal of Modern Power Systems and Clean Energy, vol. 10, no. 4, pp. 989–999, 2022.
Z. Liu, Y. Zhang, X. Wang, and D. Rodrigue, “Reinforcement of lignin-based phenol-formaldehyde adhesive with nano-crystalline cellulose (ncc): Curing behavior and bonding property of plywood,” Materials Sciences and Applications, vol. 6, pp. 567–575, 2015.
S. P and D. U., “Statistics in experimental cerebrovascular research: comparison of more than two groups with a continuous outcome variable,” Journal of Cerebral Blood Flow Metabolism, vol. 30, no. 9, pp. 1558–1563, 2010.
A. Ankan and A. Panda, “pgmpy: Probabilistic graphical models using python,” in Proceedings of the 14th Python in Science Conference (SCIPY 2015). Citeseer, 2015.
X. Qiu, Y. Ren, P. N. Suganthan, and G. A. Amaratunga, “Empirical mode decomposition based ensemble deep learning for load demand time series forecasting,” Applied Soft Computing, vol. 54, pp. 246–255, 2017.
I. Koprinska, M. Rana, and V. G. Agelidis, “Correlation and instance based feature selection for electricity load forecasting,” Knowledge-Based Systems, vol. 82, pp. 29–40, 2015.
A. Lahouar and J. B. H. Slama, “Day-ahead load forecast using random forest and expert input selection,” Energy Conversion and Management, vol. 103, pp. 1040–1051, 2015.
M. O. Faruque, M. A. J. Rabby, M. A. Hossain, M. R. Islam, M. M. U. Rashid, and S. Muyeen, “A comparative analysis to forecast carbon dioxide emissions,” Energy Reports, vol. 8, pp. 8046–8060, 2022.
M. Emami Javanmard and S. Ghaderi, “A hybrid model with applying machine learning algorithms and optimization model to forecast greenhouse gas emissions with energy market data,” Sustainable Cities and Society, vol. 82, p. 103886, 2022.