Mathematical and Statistical Model of Load Recognition in Microgrids

Authors

Abstract

Abstract Views: 60

The paper establishes a mathematical and statistical model of load recognition in microgrids to enhance automated demand response in energy-constrained systems. Efficient allocation of energy, load allocation, and stability of the system all require proper identification of electrical appliances. In contrast to other studies that are available, the current study concentrates on statistical validation, robustness, and reliability rather than accuracy. The energy usage of appliances is modelled as a stochastic process to represent the variability of the real-world usage. Deterministic and probabilistic models, as well as energy-based and event-based feature extraction methods, are compared. Both parametric and non-parametric tests are used to test performance in uncertain conditions. The findings indicate that there is no significant accuracy difference between deterministic and probabilistic models. However, energy-based features are significantly better than event-based features. The variability of appliance usage has statistical differences, but in terms of practical implications on performance in the models, it is not very significant, thus being stable. In general, the article offers a valid and evidence-based model that can help make effective and sustainable decisions regarding the management of microgrid energy.

Keywords:

Demand response, Hypothesis testing, Load recognition, Microgrids, Probabilistic modelling

Author Biographies

Nadia Naqvi,

She is a Program Manager Education at Indus Resource Centre, Clifton, Karachi, Pakistan. She completed her M.S. in Applied Mathematics from NED Engineering University, Karachi, Pakistan.

Fahim Raees (Ph.D),

He is an Associate Professor and Chairman at the Department of Mathematics, NED University of Engineering and Technology, Karachi, Pakistan. He obtained his Doctoral Degree in Computational Fluid Dynamics and Numerical Mathematics from Delft University of Technology, Delft, Netherlands, under an international scholarship. He completed his M.Sc. in Applied Mathematics from the University of Karachi, Karachi, Pakistan.

Adeel Abbas Zaidi (Ph.D),

He is currently Deputy Chief Engineer at Karachi Institute of Power Engineering, a constituent college of Pakistan Institute of Engineering and Applied Sciences. He obtained his Doctoral Degree in Energy & IT from Vienna University of Technology, Vienna, Austria, under a scholarship from the Higher Education Commission, Pakistan.

References

Chang, H. H., Lin, C. L., & Yang, H. T. (2008, April). Load recognition for different loads with the same real power and reactive power in a non-intrusive load-monitoring system. In 2008 12th International Conference on Computer Supported Cooperative Work in Design (pp. 1122-1127). IEEE. https://doi.org/10.1109/CSCWD.2008.4537137

Eddy, S. R. (1996). Hidden markov models. Current Opinion in Structural Biology, 6(3), 361-365. https://doi.org/10.1016/S0959-440X(96)80056-X

Fan, C., Xiao, F., Yan, C., Liu, C., Li, Z., & Wang, J. (2019). A novel methodology to explain and evaluate data-driven building energy performance models based on interpretable machine learning. Applied Energy, 235, 1551-1560. https://doi.org/10.1016/j.apenergy.2018.11.081

Fatichi, S., Barbosa, S. M., Caporali, E., & Silva, M. E. (2009). Deterministic versus stochastic trends: Detection and challenges. Journal of Geophysical Research: Atmospheres, 114(D18). https://doi.org/10.1029/2009JD011960

Foody, G. M. (2023). Challenges in the real world use of classification accuracy metrics: From recall and precision to the Matthews correlation coefficient. Plos one, 18(10), e0291908. https://doi.org/10.1371/journal.pone.0291908

Hawarah, L., Ploix, S., & Jacomino, M. (2010, June). User behavior prediction in energy consumption in housing using Bayesian networks. In International conference on artificial intelligence and soft computing (pp. 372-379). Berlin, Heidelberg: Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-13208-7_47

Hosseini, S. S., Agbossou, K., Kelouwani, S., & Cardenas, A. (2017). Non-intrusive load monitoring through home energy management systems: A comprehensive review. Renewable and Sustainable Energy Reviews, 79, 1266-1274. https://doi.org/10.1016/j.rser.2017.05.096

Kalogridis, G., Efthymiou, C., Denic, S. Z., Lewis, T. A., & Cepeda, R. (2010, October). Privacy for smart meters: Towards undetectable appliance load signatures. In 2010 First IEEE International Conference on Smart Grid Communications (pp. 232-237). IEEE. https://doi.org/10.1109/SMARTGRID.2010.5622047

Kim, H. C., & Ghahramani, Z. (2012, March). Bayesian classifier combination. In Artificial Intelligence and Statistics (pp. 619-627). PMLR.

Krishan, O., & Suhag, S. (2019). An updated review of energy storage systems: Classification and applications in distributed generation power systems incorporating renewable energy resources. International Journal of Energy Research, 43(12), 6171-6210. https://doi.org/10.1002/er.4285

Linardatos, P., Papastefanopoulos, V., & Kotsiantis, S. (2020). Explainable ai: A review of machine learning interpretability methods. Entropy, 23(1), 18. https://doi.org/10.3390/e23010018

Mehta, S., & Basak, P. (2021). A comprehensive review on control techniques for stability improvement in microgrids. International Transactions on Electrical Energy Systems, 31(4), e12822. https://doi.org/10.1002/2050-7038.12822

Misra, S., Bland, L. C., Cardwell, S. G., Incorvia, J. A. C., James, C. D., Kent, A. D., ... & Aimone, J. B. (2023). Probabilistic neural computing with stochastic devices. Advanced Materials, 35(37), 2204569. https://doi.org/10.1002/adma.202204569

Ojo, K. E., Saha, A. K., & Srivastava, V. M. (2025). Microgrids’ control strategies and real-time monitoring systems: A comprehensive review. Energies, 18(13), 3576. https://doi.org/10.3390/en18133576

Prasath, V. B., Alfeilat, H. A. A., Hassanat, A., Lasassmeh, O., Tarawneh, A. S., Alhasanat, M. B., & Salman, H. S. E. (2017). Distance and similarity measures effect on the performance of K-nearest neighbor classifier--a review. arXiv preprint arXiv:1708.04321. https://doi.org/10.48550/arXiv.1708.04321

Rahman Fahim, S., K. Sarker, S., Muyeen, S. M., Sheikh, M. R. I., & Das, S. K. (2020). Microgrid fault detection and classification: Machine learning based approach, comparison, and reviews. Energies, 13(13), 3460. https://doi.org/10.3390/en13133460

Samad, T., Koch, E., & Stluka, P. (2016). Automated demand response for smart buildings and microgrids: The state of the practice and research challenges. Proceedings of the IEEE, 104(4), 726-744. https://doi.org/10.1109/JPROC.2016.2520639

Savulescu, S. C. (2009). Real-time stability assessment in modern power system control centers. John Wiley & Sons.

Strielkowski, W., Vlasov, A., Selivanov, K., Muraviev, K., & Shakhnov, V. (2023). Prospects and challenges of the machine learning and data-driven methods for the predictive analysis of power systems: A review. Energies, 16(10), 4025. https://doi.org/10.3390/en16104025

Thane, H., & Hansson, H. (2000, June). Using deterministic replay for debugging of distributed real-time systems. In Proceedings 12th Euromicro Conference on Real-Time Systems. Euromicro RTS 2000 (pp. 265-272). IEEE. https://doi.org/10.1109/EMRTS.2000.854015

Touhs, H., Temouden, A., Khallaayoun, A., Chraibi, M., & El Hafdaoui, H. (2023). A scheduling algorithm for appliance energy consumption optimization in a dynamic pricing environment. World Electric Vehicle Journal, 15(1), 1. https://doi.org/10.3390/wevj15010001

Wang, X., Palazoglu, A., & El-Farra, N. H. (2015). Operational optimization and demand response of hybrid renewable energy systems. Applied Energy, 143, 324-335. https://doi.org/10.1016/j.apenergy.2015.01.004

Wang, Y., Huang, Y., Wang, Y., Zeng, M., Li, F., Wang, Y., & Zhang, Y. (2018). Energy management of smart micro-grid with response loads and distributed generation considering demand response. Journal of Cleaner Production, 197, 1069-1083. https://doi.org/10.1016/j.jclepro.2018.06.271

Zaidi, A. A., Kupzog, F., Zia, T., & Palensky, P. (2010, November). Load recognition for automated demand response in microgrids. In IECON 2010-36th Annual Conference on IEEE Industrial Electronics Society (pp. 2442-2447). IEEE. https://doi.org/10.1109/IECON.2010.5675022

Published

2026-03-31

How to Cite

Naqvi, N., Raees, F., & Zaidi, A. A. (2026). Mathematical and Statistical Model of Load Recognition in Microgrids. International Journal of Trends and Innovations in Business & Social Sciences, 4(1). Retrieved from https://journals.irapa.org/index.php/TIBS/article/view/1225

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