A Mathematical Modelling and Behaviour Simulation of a Smart Grid Cyber-Physical System

Elvis Tamakloe; Klogo Selorm Griffith; Benjamin Kommey

doi:10.15575/join.v9i1.1344

Authors

Elvis Tamakloe Department of Computer Engineering, Kwame Nkrumah University of Science and Technology, KNUST- Kumasi, Ghana
Klogo Selorm Griffith Department of Computer Engineering, Kwame Nkrumah University of Science and Technology, KNUST- Kumasi, Ghana
Benjamin Kommey Department of Computer Engineering, Kwame Nkrumah University of Science and Technology, KNUST- Kumasi, Ghana

DOI:

https://doi.org/10.15575/join.v9i1.1344

Keywords:

Cyber physical systems, Smart grids, Mathematical modelling, Simulation, Operational technologies

Abstract

The significant contributions of information and communication technology (ICT) and other operational technologies (OTs) or cyber networks have had a tremendous impact on the real-time monitoring, management, and control of the power or energy system facilities. Thus, the integration of these technologies into the energy grid system created a smart, complex, and interdependent system. This system is established and referred to as a smart grid cyber physical power system (SGCPPS). The performances of cyber physical systems are achieved via computation and communication and are imperatively based on a real-time feedback mechanism. In reference to the energy system, monitoring and control of the grid systems is extremely essential in ensuring efficient power supply, quality, reliability, stability and resilience among other determinants. However, their interdependence and integrated nature exposes the grid to disturbances subsequently leading to faults in the grid. Hence, failure to know the grid conditions at a particular period subjugates it to complete system collapse. This paper focused on the development of a mathematical model for a smart gird cyber physical system. Additionally, simulations were performed to study the behaviour of the Smart grid cyber-physical power system (SGCPPS) with regards to monitoring and controlling the physical systems using MATLAB Simulink tool to facilitate system awareness.

References

Q. Wang, G. Zhang, and F. Wen, “A survey on policies, modelling and security of cyber?physical systems in smart grids,” Energy Conversion and Economics, vol. 2, no. 4, pp. 197–211, Dec. 2021, doi: 10.1049/enc2.12051.

X. Yu and Y. Xue, “Smart Grids: A Cyber–Physical Systems Perspective,” Proceedings of the IEEE, vol. 104, no. 5, pp. 1058–1070, May 2016, doi: 10.1109/JPROC.2015.2503119.

A. Nayak, R. Reyes Levalle, S. Lee, and S. Y. Nof, “Resource sharing in cyber-physical systems: modelling framework and case studies,” Int J Prod Res, vol. 54, no. 23, pp. 6969–6983, Dec. 2016, doi: 10.1080/00207543.2016.1146419.

S. Poudel, Z. Ni, and N. Malla, “Real-time cyber physical system testbed for power system security and control,” International Journal of Electrical Power & Energy Systems, vol. 90, pp. 124–133, Sep. 2017, doi: 10.1016/j.ijepes.2017.01.016.

B. Chen, J. Wang, and M. Shahidehpour, “Cyber–physical perspective on smart grid design and operation,” IET Cyber-Physical Systems: Theory & Applications, vol. 3, no. 3, pp. 129–141, Sep. 2018, doi: 10.1049/iet-cps.2017.0143.

R. V. Yohanandhan, R. M. Elavarasan, R. Pugazhendhi, M. Premkumar, L. Mihet-Popa, and V. Terzija, “A holistic review on Cyber-Physical Power System (CPPS) testbeds for secure and sustainable electric power grid – Part – I: Background on CPPS and necessity of CPPS testbeds,” International Journal of Electrical Power & Energy Systems, vol. 136, p. 107718, Mar. 2022, doi: 10.1016/j.ijepes.2021.107718.

H. Zhang, B. Liu, and H. Wu, “Smart Grid Cyber-Physical Attack and Defense: A Review,” IEEE Access, vol. 9, pp. 29641–29659, 2021, doi: 10.1109/ACCESS.2021.3058628.

Y. Wadhawan, A. AlMajali, and C. Neuman, “A Comprehensive Analysis of Smart Grid Systems against Cyber-Physical Attacks,” Electronics (Basel), vol. 7, no. 10, p. 249, Oct. 2018, doi: 10.3390/electronics7100249.

F. Liberati, E. Garone, and A. Di Giorgio, “Review of Cyber-Physical Attacks in Smart Grids: A System-Theoretic Perspective,” Electronics (Basel), vol. 10, no. 10, p. 1153, May 2021, doi: 10.3390/electronics10101153.

H. Mora, J. F. Colom, D. Gil, and A. Jimeno-Morenilla, “Distributed computational model for shared processing on Cyber-Physical System environments,” Comput Commun, vol. 111, pp. 68–83, Oct. 2017, doi: 10.1016/j.comcom.2017.07.009.

L. Arnaboldi, R. M. Czekster, C. Morisset, and R. Metere, “Modelling Load-Changing Attacks in Cyber-Physical Systems,” Electron Notes Theor Comput Sci, vol. 353, pp. 39–60, Nov. 2020, doi: 10.1016/j.entcs.2020.09.018.

C. Bordin, A. Håkansson, and S. Mishra, “Smart Energy and power systems modelling: an IoT and Cyber-Physical Systems perspective, in the context of Energy Informatics,” Procedia Comput Sci, vol. 176, pp. 2254–2263, 2020, doi: 10.1016/j.procs.2020.09.275.

F. Darbandi, A. Jafari, H. Karimipour, A. Dehghantanha, F. Derakhshan, and K. Raymond Choo, “Real?time stability assessment in smart cyber?physical grids: a deep learning approach,” IET Smart Grid, vol. 3, no. 4, pp. 454–461, Aug. 2020, doi: 10.1049/iet-stg.2019.0191.

A. Chakrabortty and A. Bose, “Smart Grid Simulations and Their Supporting Implementation Methods,” Proceedings of the IEEE, vol. 105, no. 11, pp. 2220–2243, Nov. 2017, doi: 10.1109/JPROC.2017.2737635.

K. Marashi, S. S. Sarvestani, and A. R. Hurson, “Consideration of Cyber-Physical Interdependencies in Reliability Modeling of Smart Grids,” IEEE Transactions on Sustainable Computing, vol. 3, no. 2, pp. 73–83, Apr. 2018, doi: 10.1109/TSUSC.2017.2757911.

H. Orojloo and M. Abdollahi Azgomi, “Modelling and evaluation of the security of cyber?physical systems using stochastic Petri nets,” IET Cyber-Physical Systems: Theory & Applications, vol. 4, no. 1, pp. 50–57, Mar. 2019, doi: 10.1049/iet-cps.2018.0008.

N. K. Singh and V. Mahajan, “Mathematical Model of Cyber Intrusion in Smart Grid,” in 2019 IEEE PES GTD Grand International Conference and Exposition Asia (GTD Asia), IEEE, Mar. 2019, pp. 965–969. doi: 10.1109/GTDAsia.2019.8715946.

M. M. Iqbal, I. A. Sajjad, M. F. Nadeem Khan, R. Liaqat, M. A. Shah, and H. A. Muqeet, “Energy Management in Smart Homes with PV Generation, Energy Storage and Home to Grid Energy Exchange,” in 2019 International Conference on Electrical, Communication, and Computer Engineering (ICECCE), IEEE, Jul. 2019, pp. 1–7. doi: 10.1109/ICECCE47252.2019.8940684.

A. V. Jha, B. Appasani, and A. N. Ghazali, “Analytical Channel Modelling of Synchrophsor Communication Networks in a Smart Grid Cyber Physical System,” in 2021 3rd Global Power, Energy and Communication Conference (GPECOM), IEEE, Oct. 2021, pp. 257–262. doi: 10.1109/GPECOM52585.2021.9587832.

D. C. Devisree Chippada, “Mathematical modeling and simulation of energy management in smart grid,” International Journal of Smart Grid and Clean Energy, pp. 746–755, 2020, doi: 10.12720/sgce.9.4.746-755.

G. C. Konstantopoulos, A. T. Alexandridis, and P. C. Papageorgiou, “Towards the Integration of Modern Power Systems into a Cyber–Physical Framework,” Energies (Basel), vol. 13, no. 9, p. 2169, May 2020, doi: 10.3390/en13092169.

R. Wagle, P. Sharma, C. Sharma, M. Amin, J. L. Rueda, and F. Gonzalez?Longatt, “Optimal power flow?based reactive power control in smart distribution network using real?time cyber?physical co?simulation framework,” IET Generation, Transmission & Distribution, vol. 17, no. 20, pp. 4489–4502, Oct. 2023, doi: 10.1049/gtd2.12786.