Authors : Williams Brobbey; Alhassan Bismark; Philip Asaah; Patrick Appiah

Volume/Issue : Volume 11 - 2026, Issue 2 - February

Google Scholar : https://tinyurl.com/msvckkt2

Scribd : https://tinyurl.com/34zrej3b

DOI : https://doi.org/10.38124/ijisrt/26feb1029

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.

Abstract : The performance of grid-forming (GFM) inverters in improving frequency stability in low-inertial power networks with high penetration of renewable energy sources (RES) is thoroughly quantitatively evaluated in the research. Time domain simulations are used to evaluate frequency stability parameters at 20%, 40%, 60%, and 80%% RES penetration levels using a modified IEEE39-bus benchmark system. In comparison to traditional grid-following (GFL) droop control, the study shows that virtual synchronous machine (VSM) control in GFM inverters lowers the peak rate – of -change-frequency (RoCoF) by about 40% at 80% penetration. Implementing GFM also shortens recovery times and improves frequency nadir by 0.5-1.0Hz. The study provides a crucial benchmark for system designers by determining an ideal virtual inertia constant of M=4 seconds through parametric sensitivity analysis. Additionally, the investigation demonstrates that hybrid GFM-battery energy storage system (BESS) designs offer improved resilience by combining prolonged energy support with rapid inertial response, which further improves recovery time and nadir. These quantitative results provide useful, data–driven recommendations for system planning and grid code development in network dominated by inverters

Keywords : Grid-Forming Inverters, Virtual Synchronous Generator, Low-Inertia Power Systems, Frequency Stability, Renewable Energy Integration, Battery Energy Storage System (BESS), IEEE 39-Bus System.

References :

1. H. Li, X. Zhou, and R. Zhang, "Predictive virtual synchronous generator control for low-inertia grids," Electr. Power Syst. Res., vol. 238, p. 110247, 2025.
2. Q. C. Zhong and G. Weiss, "Synchronverters revisited: Grid-forming control for high-penetration renewables," IEEE Open J. Power Electron., vol. 5, pp. 392-405, 2024.
3. National Grid ESO, System Stability Pathfinders Technical Report, London, U.K., 2023.
4. F. Milano et al., "Foundations and challenges of low-inertia systems," in Proc. Power Syst. Comput. Conf., 2018, pp. 1-25.
5. Q. C. Zhong and G. Weiss, "Synchronverters: Inverters that mimic synchronous generators," IEEE Trans. Ind. Electron., vol. 58, no. 4, pp. 1259-1267, 2011.
6. S. D'Arco, J. A. Suul, and O. B. Fosso, "A Virtual Synchronous Machine implementation for distributed control of power converters in SmartGrids," Electr. Power Syst. Res., vol. 122, pp. 180-197, 2015.
7. A. Shah, S. Rahman, and A. Gupta, "Experimental validation of hybrid grid-forming inverters on IEEE 39-bus systems," IEEE Trans. Smart Grid, vol. 16, no. 2, pp. 1450-1462, 2025.
8. L. Sun, P. Zhou, and Y. Wang, "Adaptive inertia emulation in converter-based resources for frequency control," IEEE Trans. Power Del., vol. 39, no. 1, pp. 511-522, 2024.
9. P. Tielens and D. Van Hertem, "The relevance of inertia in power systems," Renew. Sustain. Energy Rev., vol. 55, pp. 999-1009, 2016.
10. F. Milano, F. Dörfler, G. Hug, D. J. Hill, and G. Verbič, "Foundations and challenges of low-inertia systems," Proc. Power Syst. Comput. Conf., 2018.
11. X. Qin, Y. Huang, and M. Yu, "Enhanced virtual inertia control for weak grid applications," IET Renew. Power Gener., vol. 18, no. 4, pp. 421-432, 2024.
12. B. Wu, H. Wang, and J. Liu, "Self-tuning virtual synchronous generator for frequency stability improvement," IEEE Trans. Power Syst., vol. 39, no. 2, pp. 1560-1571, 2023.
13. R. Beyer, T. Krause, and M. Schafer, "Dynamic limitations of PLL-based inverters in weak grids," IEEE Trans. Power Del., vol. 39, no. 3, pp. 2212-2223, 2024.
14. B. Wen, M. Huang, and T. Liu, "PLL dynamics and stability challenges in converter-based systems," IEEE Trans. Energy Convers., vol. 39, no. 2, pp. 1501-1512, 2024.
15. M. Cespedes, J. Sun, and Y. Liu, "Dynamic performance of voltage-source inverters under grid disturbances," IEEE Trans. Power Electron., vol. 39, no. 4, pp. 3482-3493, 2023.
16. B. Wu, H. Wang, and J. Liu, "Self-tuning virtual synchronous generator for frequency stability improvement," IEEE Trans. Power Syst., vol. 39, no. 2, pp. 1560-1571, 2023.
17. Q. Chen, Y. Lu, and J. Wu, "Adaptive inertia scheduling for grid-forming converters," IEEE Trans. Energy Convers., vol. 39, no. 1, pp. 88-98, 2024.
18. P. Kundur, Power System Stability and Control. New York, NY, USA: McGraw-Hill, 1994.
19. H. Bevrani, Robust Power System Frequency Control, 2nd ed. Cham, Switzerland: Springer, 2014.
20. G. Rogers, Power System Oscillations. Boston, MA, USA: Kluwer Academic Publishers, 2000.
21. A. Tayyebi et al., "Grid-forming converters: Inevitability, control strategies, and challenges in future grid applications," in Proc. IEEE Power Energy Soc. Gen. Meet., 2020.
22. P. M. Anderson and A. A. Fouad, Power System Control and Stability, 2nd ed. Hoboken, NJ, USA: IEEE Press, 2008.
23. A. Ulbig, T. S. Borsche, and G. Andersson, "Impact of low rotational inertia on power system stability and operation," IFAC Proc. Vol., vol. 47, no. 3, pp. 7290-7297, 2014.
24. J. M. Guerrero, T. L. Lee, and Q. Sun, "Virtual synchronous generator technologies for inverter-dominated grids," IEEE Access, vol. 12, pp. 55482-55494, 2024.
25. J. M. Guerrero, T. L. Lee, and Q. Sun, "Virtual synchronous generator technologies for inverter-dominated grids," IEEE Access, vol. 12, pp. 55482-55494, 2024.
26. Y. Zhou, C. Huang, and X. Lin, "Coordinated GFM and energy storage for low-inertia frequency stabilization," IEEE Trans. Power Syst., vol. 40, no. 1, pp. 711-723, 2025.
27. Y. Wang, D. Liu, and P. Zhang, "Hybrid inverter-storage frequency control for low-inertia grids," IEEE Trans. Smart Grid, vol. 15, no. 4, pp. 2565-2577, 2023.
28. IEEE Standard for Interconnection and Interoperability of Inverter-Based Resources Interconnecting with Associated Transmission Electric Power Systems, IEEE Std 2800-2022, 2022.
29. ENTSO-E, High Penetration of Power Electronic Interfaced Power Sources (HPoPEIPS), Brussels, Belgium, 2022.
30. Y. Zhang, H. Luo, and M. Sun, "Renewable integration modelling using the IEEE 39-bus system," IEEE Access, vol. 12, pp. 116473-116485, 2024.
31. F. Souza, P. Ribeiro, and C. Pereira, "Frequency nadir constraints in South American interconnected systems," Renew. Energy, vol. 213, pp. 1342-1353, 2024.
32. Y. Liu, D. Li, and C. Chen, "Adaptive droop-based grid-forming control for frequency resilience," IET Gener. Transm. Distrib., vol. 18, no. 6, pp. 675-686, 2024.
33. X. Zhang and B. Hu, "Frequency stability enhancement in inverter-based grids using virtual synchronous machines," IEEE Trans. Energy Convers., vol. 39, no. 3, pp. 2075-2085, 2023.
34. S. Chakraborty and L. Shen, "Energy storage participation in frequency recovery under low-inertia operation," IEEE Trans. Sustain. Energy, vol. 15, no. 3, pp. 1843-1855, 2023.
35. Tesla Energy, Grid-Forming Inverter Performance in Renewable-Dominated Grids, Palo Alto, CA, USA, Tech. Rep., 2024.
36. J. Huang, X. Zhang, and F. Meng, "Impact of virtual inertia on converter dynamics in low-inertia grids," IEEE Trans. Power Del., vol. 39, no. 1, pp. 201-212, 2024.
37. P. Molina, E. Rojas, and R. Palma-Behnke, "Hybrid GFM-BESS for frequency stability in renewable systems," IET Gener. Transm. Distrib., vol. 18, no. 6, pp. 675-686, 2024.
38. H. Li and X. Zhou, "Operational trade-offs in virtual inertia tuning for grid-forming converters," IET Renew. Power Gener., vol. 18, no. 2, pp. 210-222, 2025.
39. L. Sun, P. Zhou, and Y. Wang, "Adaptive inertia emulation in converter-based resources for frequency control," IEEE Trans. Power Del., vol. 39, no. 1, pp. 511-522, 2024.
40. R. Wang, Z. Zhao, and H. Fang, "Compensated generalised virtual synchronous generator for improved damping," IEEE Trans. Power Syst., vol. 39, no. 2, pp. 1125-1135, 2024.
41. International Energy Agency, Power Systems in Transition, Paris, France, 2024.
42. H. Li, X. Zhou, and R. Zhang, "Predictive virtual synchronous generator control for low-inertia grids," Electr. Power Syst. Res., vol. 238, p. 110247, 2025.
43. National Grid ESO, System Stability Pathfinders Technical Report, London, U.K., 2023.