Physics-Informed AI Digital Twins For Ultra-Fast, Scalable Time-Series Power Flow And Automated Grid Constraint Resolution
DOI:
https://doi.org/10.29284/ecrg7s57Keywords:
Digital twin, physics-informed neural network, voltage prediction, distribution networks, constraint monitoring, load adjustment, real-time power flow, and IEEE 33-bus system.Abstract
This paper presents a physics-informed AI digital twin framework for real-time voltage monitoring and corrective control in distribution networks. By combining a neural network surrogate with AC power flow constraints, the system predicts bus voltages, detects violations, and automatically adjusts loads. Validation on the IEEE 33-bus system demonstrates high accuracy (MAE ≈ 0.070 pu) and rapid computation, enabling reliable and scalable grid operations.
References
1. M. A. M. Yassin, A. Shrestha, and S. Rabie, “Digital twin in power system research and development: Principle, scope, and challenges,” Energy Reviews, vol. 2, no. 3, pp. 100039–100039, Jul. 2023, doi: https://doi.org/10.1016/j.enrev.2023.100039
2. S. Djebali, G. Guerard, and I. Taleb, “Survey and insights on digital twins design and smart grid’s applications,” Future Generation Computer Systems, vol. 153, pp. 234–248, Apr. 2024, doi: https://doi.org/10.1016/j.future.2023.11.033
3. A. Ardebili, M. Zappatore, Amro, A. Longo, and A. Ficarella, “Digital Twins of smart energy systems: a systematic literature review on enablers, design, management and computational challenges,” Energy Informatics, vol. 7, no. 1, Oct. 2024, doi: https://doi.org/10.1186/s42162-024-00385-5
4. Z. Li, “A Review of Physics-Informed Neural Networks,” Applied and Computational Engineering, vol. 133, no. 1, pp. 165–173, Jan. 2025, doi:
https://doi.org/10.54254/2755-2721/2025.20636
5. E. A. Mahdouri, S. Al-Abri, H. Yousef, I. Al-Naimi, and H. Obeid, “Physics-Informed Neural Networks in Grid-Connected Inverters: A Review,” Energies, vol. 18, no. 20, p. 5441, Oct. 2025, doi: https://doi.org/10.3390/en18205441
6. Z. Kaseb, Stavros Orfanoudakis, P. P. Vergara, and P. Palensky, “Physics-informed neural network with adaptive activation for power flow,” International Journal of Electrical Power & Energy Systems, vol. 174, pp. 111525–111525, Jan. 2026, doi: https://doi.org/10.1016/j.ijepes.2025.111525
7. P. Karampinis, Ellinas, J. Vorwerk, and S. Chatzivasileiadis, “Neural Operators for Power Systems: A Physics-Informed Framework for Modeling Power System Components,” arXiv.org, 2025. https://arxiv.org/abs/2511.05216
8. V. Eeckhout, H. Fani, M. U. Hashmi, and G. Deconinck, “Improved Physics-Informed Neural Network based AC Power Flow for Distribution Networks,” Lirias (KU Leuven), pp. 1–6, Oct. 2024, doi: https://doi.org/10.1109/isgteurope62998.2024.10863674
9. Ignacio, W. Li, and R. Wang, “A Comprehensive Analysis of PINNs for Power System Transient Stability,” Electronics, vol. 13, no. 2, pp. 391–391, Jan. 2024, doi: https://doi.org/10.3390/electronics13020391
10. P. Dogoulis, M. I. Alizadeh, S. Kubler, and M. Cordy, “Test Time Training for AC Power Flow Surrogates via Physics and Operational Constraint Refinement,” arXiv.org, 2025. https://arxiv.org/abs/2511.22343
11. J. Stiasny, B. Zhang, and S. Chatzivasileiadis, “PINNSim: A simulator for power system dynamics based on Physics-Informed Neural Networks,” Electric Power Systems Research, vol. 235, p. 110796, Oct. 2024, doi:
https://doi.org/10.1016/j.epsr.2024.110796
12. V. Nadal, M. K. Bakhshizadeh, P. Aristidou, N. Darii, R. Nellikkath, and S. Chatzivasileiadis, “Scalable Physics-Informed Neural Networks for Accelerating Electromagnetic Transient Stability Assessment,” arXiv.org, 2025.
https://arxiv.org/abs/2511.23046
13. R. Nellikkath and S. Chatzivasileiadis, “Physics-Informed Neural Networks for AC Optimal Power Flow,” Electric Power Systems Research, vol. 212, pp. 108412–108412, Jul. 2022, doi: https://doi.org/10.1016/j.epsr.2022.108412
14. I. V. Nadal, J. Stiasny, and S. Chatzivasileiadis, “Physics-Informed Neural Networks: A plug and play integration into power system dynamic simulations,” Electric Power Systems Research, vol. 248, p. 111885, Nov. 2025, doi:
https://doi.org/10.1016/j.epsr.2025.111885
15. H. Kazemi Naeini, R. Shomali, A. Pishahang, H. Hasanzadeh, S. Asadi, and A. Gholizadeh Lonbar, “PINN-DT: Optimizing Energy Consumption in Smart Building Using Hybrid Physics-Informed Neural Networks and Digital Twin Framework with Blockchain Security,” Sensors, vol. 25, no. 19, p. 6242, Oct. 2025, doi:
https://doi.org/10.3390/s25196242
16. P. Iliadis, S. Petridis, A. Skembris, D. Rakopoulos, and E. Kosmatopoulos, “Physics-Informed Neural Networks for Enhanced State Estimation in Unbalanced Distribution Power Systems,” Applied Sciences, vol. 15, no. 13, p. 7507, Jul. 2025, doi:
https://doi.org/10.3390/app15137507
17. S. Falas, M. Asprou, C. Konstantinou, and M. K. Michael, “Physics-Informed Neural Networks for Accelerating Power System State Estimation,” 2023 IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE), pp. 1–5, Oct. 2023, doi: https://doi.org/10.1109/isgteurope56780.2023.10408467
18. F.S. Al-Ismail, “Physics Informed Neural Networks-Based AC Optimal Power Flow Under High RES Penetration,” IEEE Access, vol. 12, pp. 189297–189306, Jan. 2024, doi: https://doi.org/10.1109/access.2024.3514362
19. K. Moloi and K. Addo, “Physics-Informed Neural Networks (PINNs) for Real-Time Grid-Forming Inverter Control: Embedding Physical Laws into Deep Learning Models,” Jul. 2025, doi: https://doi.org/10.20944/preprints202507.0721.v1
20. A. G. Abo-Khalil, “Digital twin real-time hybrid simulation platform for power system stability,” Case Studies in Thermal Engineering, vol. 49, pp. 103237–103237, Jul. 2023, doi: https://doi.org/10.1016/j.csite.2023.103237
21. K. Sado, J. Peskar, A. Downey, J. Khan, and K. Booth, “A digital twin based forecasting framework for power flow management in DC microgrids,” Scientific Reports, vol. 15, no. 1, Feb. 2025, doi: https://doi.org/10.1038/s41598-025-91074-0
22. S. Shahmoradi, M. H. Imani, A. Mazza, and E. Pons, “Applications of the Digital Twin and the Related Technologies Within the Power Generation Sector: A Systematic Literature Review,” Energies, vol. 18, no. 21, pp. 5627–5627, Oct. 2025, doi: https://doi.org/10.3390/en18215627
23. P. Palensky, M. Cvetkovic, D. Gusain, and A. Joseph, “Digital twins and their use in future power systems,” Digital Twin, vol. 1, p. 4, Aug. 2022, doi:
https://doi.org/10.12688/digitaltwin.17435.2
24. M. Leyli-abadi, A. Marot, and J. Picault, “Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulation,” arXiv.org, 2025.
https://arxiv.org/abs/2509.19233
25. M. S. Zia, C. Houpert, A. Anjum, L. Liu, A. Conway, and A. Peña-Rios, “Physics encoded blocks in residual neural network architectures for digital twin models,” Machine Learning, vol. 114, no. 8, Jul. 2025, doi: https://doi.org/10.1007/s10994-025-06808-y
26. R. T. A and C. C. Chinnappan, “Integrating data-driven and physics-based approaches for robust power prediction: A comprehensive ML-PINN-Simulink framework,” Scientific Reports, vol. 15, no. 1, Aug. 2025, doi:
https://doi.org/10.1038/s41598-025-13306-7
27. B. Ghanem, P. Rosso, and F. Rangel, “An Emotional Analysis of False Information in Social Media and News Articles,” Association for Computing Machinery, vol. 1, no. 1, 2018, doi: https://doi.org/10.1145/1122445.1122456
28. K. Kobayashi and S. B. Alam, “Deep neural operator-driven real-time inference to enable digital twin solutions for nuclear energy systems,” Scientific Reports, vol. 14, no. 1, pp. 2101–2101, Jan. 2024, doi: https://doi.org/10.1038/s41598-024-51984-x.
29. M. Bossart, J. D. Lara, C. Roberts, R. Henriquez-Auba, D. S. Callaway, and B.-M. Hodge, “Acceleration of Power System Dynamic Simulations Using a Deep Equilibrium Layer and Neural ODE Surrogate,” IEEE Transactions on Energy Conversion, vol. 40, no. 4, pp. 2710–2722, May 2025, doi: https://doi.org/10.1109/tec.2025.3563142
30. K. Wang, Y. Cao, and W. Gu, “Progress and Application of Equivalent Models for Power System Simulation With Renewable Penetration: A Review,” IET Smart Grid, vol. 8, no. 1, Jan. 2025, doi: https://doi.org/10.1049/stg2.70042
31. P. Yeptho, A. E. Saldaña-González, M. Aragüés-Peñalba, and S. Barja-Martínez, “Evaluation of XGBoost and ANN as Surrogates for Power Flow Predictions with Dynamic Energy Storage Scenarios,” Energies, vol. 18, no. 16, p. 4416, Aug. 2025, doi: https://doi.org/10.3390/en18164416
32. H. Zhi, X. Chang, J. Wang, R. Mao, R. Fan, T. Wang, J. Song, and G. Xiao, 2024. "A new dynamic state estimation method for distribution networks based on modified SVSF considering photovoltaic power prediction," Frontiers in Energy Research, vol. 12, Aug. 2024, doi: https://doi.org/10.3389/fenrg.2024.1421555
33. J. G. De, S. Pineda, J. M. Morales, and A. Porras, “Learning-based state estimation in distribution systems with limited real-time measurements,” Electric Power Systems Research, vol. 241, pp. 111268–111268, Nov. 2024, doi:
https://doi.org/10.1016/j.epsr.2024.111268
34. J. Pei, P. Wang, J. Wang, and D. Shi, “Deep Generative Model-Aided Power System Dynamic State Estimation and Reconstruction with Unknown Control Inputs or Data Distributions,” arXiv.org, 2025. https://arxiv.org/abs/2501.02928
35. H. Mirshekali, A. Q. Santos, and H. R. Shaker, “A Survey of Time-Series Prediction for Digitally Enabled Maintenance of Electrical Grids,” Energies, vol. 16, no. 17, pp. 6332–6332, Aug. 2023, doi: https://doi.org/10.3390/en16176332
36. E. H. M. Pena, E. C. de Almeida, and F. Naumann, “Fast detection of denial constraint violations,” Proceedings of the VLDB Endowment, vol. 15, no. 4, pp. 859–871, Dec. 2021, doi: https://doi.org/10.14778/3503585.3503595
37. K. Subramanian, A. Abhashkumar, L. D’Antoni, and A. Akella, “Detecting network load violations for distributed control planes,” Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, pp. 974–988, Jun. 2020, doi: https://doi.org/10.1145/3385412.3385976
38. K. Ullah, A. Basit, Z. Ullah, R. Asghar, S. Aslam, and A. Yafoz, “Line Overload Alleviations in Wind Energy Integrated Power Systems Using Automatic Generation Control,” Sustainability, vol. 14, no. 19, p. 11810, Sep. 2022, doi:
https://doi.org/10.3390/su141911810
39. H. Iqbal, A. Stevenson, and A. I. Sarwat, “Impact Analysis and Optimal Placement of Distributed Energy Resources in Diverse Distribution Systems for Grid Congestion Mitigation and Performance Enhancement,” Electronics, vol. 14, no. 10, pp. 1998–1998, May 2025, doi: https://doi.org/10.3390/electronics14101998
40. C. Parthasarathy, H. Hafezi, and H. Laaksonen, “Integration and control of lithium-ion BESSs for active network management in smart grids: Sundom smart grid backup feeding case,” Electrical Engineering, vol. 104, no. 2, pp. 539–553, May 2021, doi: https://doi.org/10.1007/s00202-021-01311-8
41. M. Alanazi, “A sustainable approach to renewable integration in distribution grids through coordinated control of flexibility technologies,” Cleaner Engineering and Technology, vol. 28, pp. 101053–101053, Jul. 2025, doi:
https://doi.org/10.1016/j.clet.2025.101053
42. M. Muzammal Islam et al., “Improving Reliability and Stability of the Power Systems: A Comprehensive Review on the Role of Energy Storage Systems to Enhance Flexibility,” IEEE Access, vol. 12, pp. 152738–152765, 2024, doi:
https://doi.org/10.1109/access.2024.3476959
43. X. Wu and T. Kerekes, “Flexible Active Power Control for PV-ESS Systems: A Review,” Energies, vol. 14, no. 21, pp. 7388–7388, Nov. 2021, doi:
https://doi.org/10.3390/en14217388
44. A. Aljohani, “Predictive Analytics and Machine Learning for Real-Time Supply Chain Risk Mitigation and Agility,” Sustainability, vol. 15, no. 20, pp. 15088–15088, Oct.
2023, doi: https://doi.org/10.3390/su152015088
45. N. Ibrahim, None Christianah Pelumi Efunniyi, None Olajide Soji Osundare, and A. Omozele, “Enhancing security and risk management with predictive analytics: A proactive approach,” International Journal of Scholarly Research in Engineering and Technology, vol. 4, no. 1, pp. 032–040, Aug. 2024, doi:
https://doi.org/10.56781/ijsret.2024.4.1.0021
46. J. Paul, H. N. Noura, O. Salman, and K. Chahine, “Toward Secure Smart Grid Systems: Risks, Threats, Challenges, and Future Directions,” Future Internet, vol. 17, no. 7, pp.
318–318, Jul. 2025, doi: https://doi.org/10.3390/fi17070318.
47. F. Jimmy, “The Role of Artificial Intelligence in Predicting Cyber
Threats,” International Journal of Scientific Research and Management (IJSRM), vol. 11, no. 08, pp. 935–953, Nov. 2024, doi: https://doi.org/10.18535/ijsrm/v11i08.ec04
48. H. Nademi, J. Choi, P. Adhikari, L. Vanfretti, S. Ahmed, and Kourosh Sedghisigarchi, “Real-time Model Development of the IEEE Benchmark Distribution Feeder Test System for Microgrid Stability and Controls,” King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology), pp. 1–5, Oct. 2021, doi: https://doi.org/10.1109/iecon48115.2021.9589817
49. J. Vysocký, L. Foltyn, Dejan Brkić, Renáta Praksová, and Pavel Praks, “Steady-State Analysis of Electrical Networks in Pandapower Software: Computational Performances of Newton–Raphson, Newton–Raphson with Iwamoto Multiplier, and Gauss–Seidel Methods,” Sustainability, vol. 14, no. 4, pp. 2002–2002, Feb. 2022, doi: https://doi.org/10.3390/su14042002
50. A. Cifci, “Interpretable Prediction of a Decentralized Smart Grid Based on Machine Learning and Explainable Artificial Intelligence,” IEEE Access, vol. 13, pp. 36285–36305, 2025, doi: https://doi.org/10.1109/access.2025.3543759
51. R. Yarmohammadian, F. Put, and R. Van Coile, “Physics-Informed Surrogate Modelling in Fire Safety Engineering: A Systematic Review,” Applied Sciences, vol. 15, no. 15, p. 8740, Aug. 2025, doi: https://doi.org/10.3390/app15158740
52. K. Azizzadenesheli, Nikola Kovachki, Z. Li, M. Liu-Schiaffini, J. Kossaifi, and Anima Anandkumar, “Neural operators for accelerating scientific simulations and design,” Nature Reviews Physics, vol. 6, no. 5, pp. 320–328, Apr. 2024, doi: https://doi.org/10.1038/s42254-024-00712-5
53. A. Q. Al‐Shetwi, I. E. Atawi, M. A. El‐Hameed, and A. Abuelrub, “Digital Twin Technology for Renewable Energy, Smart Grids, Energy Storage and Vehicle‐to‐Grid Integration: Advancements, Applications, Key Players, Challenges and Future Perspectives in Modernising Sustainable Grids,” IET Smart Grid, vol. 8, no. 1, Jan. 2025, doi: https://doi.org/10.1049/stg2.70026
54. M. R. Kabir, D. Halder, and S. Ray, “Digital Twins for IoT-Driven Energy Systems: A Survey,” IEEE Access, vol. 12, pp. 177123–177143, 2024, doi:
https://doi.org/10.1109/access.2024.3506660.
55. D. H. Nguyen, T. H. Nguyen, K. D. Tran, and K. P. Tran, “Physics-Informed Machine Learning for Industrial Reliability and Safety Engineering: A Review and Perspective,” Springer Series in Reliability Engineering, pp. 5–23, 2024, doi:
https://doi.org/10.1007/978-3-031-71495-5_2
56. A. Zami, Shaba Shaon, V. K. Quy, and D. C. Nguyen, “Digital Twin in Industries: A Comprehensive Survey,” IEEE Access, vol. 13, pp. 47291–47336, Jan. 2025, doi:
https://doi.org/10.1109/access.2025.3551532
57. Y. Wu, B. Sicard, and S. A. Gadsden, “A Review of Physics-Informed Machine Learning Methods with Applications to Condition Monitoring and Anomaly
Detection,” arXiv.org, 2024. https://arxiv.org/abs/2401.11860
58. A. K. Barimah, Ogwo Precious Onu, Octavian Niculita, A. Cowell, and D. McGlinchey, “Scalable Data Transformation Models for Physics-Informed Neural Networks (PINNs) in Digital Twin-Enabled Prognostics and Health Management (PHM) Applications,” Computers, vol. 14, no. 4, pp. 121–121, Mar. 2025, doi:
https://doi.org/10.3390/computers14040121
59. S. Mohammadi, V.-H. Bui, W. Su, and B. Wang, “Surrogate Modeling for Solving OPF: A Review,” Sustainability, vol. 16, no. 22, pp. 9851–9851, Nov. 2024, doi:
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