Multi-energy flow coupled differential equations and distributed safety control for digital twin in integrated energy systems

Authors

  • Ruijia Guan Department of Applied Physics, The Hong Kong Polytechnic University, Hong Kong 999077, China
  • Yan He Beijing Thpower Co., Ltd., Beijing 100085, China
Article ID: 524
104 Views

DOI:

https://doi.org/10.18686/cest524

Keywords:

Integrated energy systems , Digital twin , Multi-energy flow coupling , Distributed control

Abstract

Digital twin technology offers significant potential for integrated energy systems (IES); however, existing approaches often lack an integrated framework that combines high-fidelity dynamic modeling of coupled multi-energy flows, distributed real-time control with safety guarantees, and proactive safety optimization. This article proposes an integrated optimization framework for energy systems tying together multi-energy flow coupled differential equations and distributed control strategies. By utilizing digital twin modeling, real-time safety regulation, and distributed control, remarkable performance improvements are achieved. Experimental results show that: (1) Compared with traditional centralized PID and distributed consensus approaches, the proposed coupled model improves the digital twin accuracy (ECA) to 95.4% ± 0.9%, representing an increase of 10.2 and 4.7 percentage points, respectively; (2) Compared with traditional approaches, the distributed control architecture decreases the convergence time (CT) to 2.1 ± 0.3 s; (3) The safety constraint violation rates (SVR) are controlled below 1.2% ± 0.7%; (4) Compared with traditional approaches, the multi-energy coordination optimizes the energy utilization efficiency (MEE) to 78.6% ± 1.9%, which is 13.5 percentage points more. Furthermore, theoretical analyses explain the synergistic optimization mechanism between coupled nonlinear terms and distributed consensus algorithms for stability and energy efficiency of the proposed system. This article offers an integrated “modeling-control-optimization” solution for integrated energy systems (IES) under high penetration renewable energy integration.

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Published

2025-12-23

How to Cite

Guan, R., & He, Y. (2025). Multi-energy flow coupled differential equations and distributed safety control for digital twin in integrated energy systems. Clean Energy Science and Technology, 4(1), 524. https://doi.org/10.18686/cest524

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References

1. Morais MS, Lima J. Combined natural gas and electricity network pricing. Electric Power Systems Research. 2007; 77: 712-719. doi: 10.1016/J.EPSR.2006.05.005 DOI: https://doi.org/10.1016/j.epsr.2006.05.005

2. Li W, Li H, Li B, et al. Multi-energy flow energy management on regional energy internet. IOP Conference Series: Materials Science and Engineering. 2018; 452: 032043. doi: 10.1088/1757-899X/452/3/032043 DOI: https://doi.org/10.1088/1757-899X/452/3/032043

3. Khalaji Assadi M. Design for optimum utilization of integrated energy systems with application to rural areas. ISESCO Science and Technology Vision. 2009; 5(8): 18-25.

4. Amusat OO, Shearing PR, Fraga ES. Optimal integrated energy systems design incorporating variable renewable energy sources. Computers & Chemical Engineering. 2016; 95: 21-37. doi: 10.1016/j.compchemeng.2016.08.007 DOI: https://doi.org/10.1016/j.compchemeng.2016.08.007

5. Ezekwugo JU, Ibe A, Nteegah A. Optimization of integrated energy systems in a developing economy using technology. American Journal of Economics and Business Administration. 2022; 14(1): 1-11. doi: 10.3844/ajebasp.2022.1.11 DOI: https://doi.org/10.3844/ajebasp.2022.1.11

6. Sabatino S, Yigitoglu AG. Comparative reliability study on thermal energy storage systems for integrated energy systems. Transactions of the American Nuclear Society. 2021; 125(1): 840-843. doi: 10.13182/T125-36864 DOI: https://doi.org/10.1002/9781119713173.ch3

7. Zereg H, Bouzgou H. Forecast-integrated techno-economic optimization of off-grid hybrid renewable system in hyper-arid regions: Application to Tamanrasset, Algeria. Energy. 2025; 334: 137468. doi: 10.1016/j.energy.2025.137468 DOI: https://doi.org/10.1016/j.energy.2025.137468

8. Alanazi M. Optimal sizing of stand-alone hybrid energy system for development of rural and remote areas in Saudi Arabia. Case Studies in Chemical and Environmental Engineering. 2025; 12: 101257. doi: 10.1016/j.cscee.2025.101257 DOI: https://doi.org/10.1016/j.cscee.2025.101257

9. Hadidi A. Proposing a modified system based on recovery of preset pressurization energy in the integrated pumped-hydro and compressed gas energy storage system. Results in Engineering. 2025; 27: 106118. doi: 10.1016/j.rineng.2025.106118 DOI: https://doi.org/10.1016/j.rineng.2025.106118

10. Han Z, Han S, Wu D. Multi-timescale optimization scheduling of integrated energy systems based on high-accuracy predictions. Energy. 2025; 333: 137403. doi: 10.1016/j.energy.2025.137403 DOI: https://doi.org/10.1016/j.energy.2025.137403

11. Jiang W, Guo ZM, Pang YH, et al. Optimal decision-making method for hydrogen-blended integrated energy systems based on a digital twin model in a Stackelberg game (Chinese). Power System Protection and Control. 2025; 53(11): 72-83.

12. Lai BH, Hao JH, Yang TZ, et al. Development and challenges in smart operation and maintenance of integrated energy systems supported by digital twin (Chinese). Proceedings of the CSEE. 2025; 1-17.

13. Stogia M, Naserentin V, Dimara A, et al. A Scalable and User-Friendly Framework Integrating IoT and Digital Twins for Home Energy Management Systems. Applied Sciences. 2024; 14(24): 11834. doi: 10.3390/app142411834 DOI: https://doi.org/10.3390/app142411834

14. Rolofs G, Wilking F, Goetz S, Wartzack S. Integrating Digital Twins and Cyber-Physical Systems for Flexible Energy Management in Manufacturing Facilities: A Conceptual Framework. Electronics. 2024; 13(24): 4964. doi: 10.3390/electronics13244964 DOI: https://doi.org/10.3390/electronics13244964

15. Liu YJ, Chen HH. Static security risk assessment of integrated electricity-gas energy systems for digital twin (Chinese). Journal of Northeast Electric Power University. 2024; 44(04): 56-64.

16. Guo Y, Tang Q, Darkwa J, et al. Multi-objective integrated optimization of geothermal heating system with energy storage using digital twin technology. Applied Thermal Engineering. 2024; 252: 123685. doi:10.1016/j.applthermaleng.2024.123685 DOI: https://doi.org/10.1016/j.applthermaleng.2024.123685

17. Wang G, Wang LX, Cao JH, et al. Design of a demand response experimental platform for low-carbon integrated energy systems (Chinese). Environmental Technology. 2024; 42(06): 6-10.

18. Chen FX, Yan XY, Shao ZG, et al. A review of modeling and energy flow calculation methods for integrated energy systems (Chinese). High Voltage Engineering. 2024; 50(04): 1376-1391.

19. Luo H, Wang CJ, Wang JG. Calculation of available transfer capability for integrated electricity-gas energy systems oriented to digital twin (Chinese). Electric Power Construction. 2023; 44(11): 113-127.

20. Ma XX, Tian CB, Ma X, Peng B. Research on digital twin edge networks for integrated energy systems (Chinese). Technology and Economic Guide. 2023; 31(05): 54-66.

21. Bai YJ, Zhang LY, Li Z. Analysis of real-time optimal dispatch strategy for integrated energy systems based on digital twin and dynamic energy efficiency model (Chinese). Electronic Technology. 2023; 52(10): 216-217.

22. Pang Y, Wang Z, Guo Y, et al. Application prospect and key technologies of digital twin technology in the integrated port energy system. Frontiers in Energy Research. 2023; 10: 1044978. doi: 10.3389/fenrg.2022.1044978 DOI: https://doi.org/10.3389/fenrg.2022.1044978

23. Stennikov V, Sokolov D, Barakhtenko E, Mayorov G. A software platform for constructing a digital twin of the integrated energy system. E3S Web of Conferences. 2023; 461: 01001. doi: 10.1051/e3sconf/202346101001 DOI: https://doi.org/10.1051/e3sconf/202346101001

24. Hou L, Ge L, Wang B, et al. Research on the integrated energy system and the electricity market towards new prosumers (Chinese). Comprehensive Smart Energy. 2022; 44(12): 40-48. doi: 10.3969/j.issn.2097-0706.2022.12.006

25. Sun S, Xing J, Yu P, et al. Energy Efficiency Optimization Technology of Integrated Energy System Based on Digital Twin Technology. Journal of Physics: Conference Series. 2022; 2409: 012015. doi: 10.1088/1742-6596/2409/1/012015 DOI: https://doi.org/10.1088/1742-6596/2409/1/012015

26. Huang W, Zhang Y, Zeng W. Development and application of digital twin technology for integrated regional energy systems in smart cities. Sustainable Computing: Informatics and Systems. 2022; 36: 100781. doi: 10.1016/j.suscom.2022.100781 DOI: https://doi.org/10.1016/j.suscom.2022.100781

27. Zhu J, Liu H, Ye H, et al. A review of optimization and operation research of industrial park integrated energy systems (Chinese). High Voltage Technology. 2022; 48(07): 2469-2482. doi: 10.13336/j.1003-6520.hve.20220853 DOI: https://doi.org/10.1049/icp.2022.2074