Impact Factor (2025): 6.9
DOI Prefix: 10.47001/IRJIET
Vol 10 No 5 (2026): Volume 10, Issue 5, May 2026 | Pages: 796-798
International Research Journal of Innovations in Engineering and Technology
OPEN ACCESS | Research Article | Published Date: 31-05-2026
The global transition toward inverter-based resources (IBRs) is significantly reducing the rotational inertia of modern power grids, leading to the emergence of ”weak grids.” This paper provides a rigorous mathematical comparison of Grid-Following (GFL) and Grid-Forming (GFM) inverters under low Short Circuit Ratio (SCR) conditions. We develop full-order linearized state-space models for both topologies, accounting for inner-loop current control, outer-loop voltage/power control, and synchronization dynamics (PLL vs. VSM). Small-signal stability is assessed via eigenvalue trajectories and participation factors. Findings indicate that GFL stability is highly sensitive to PLL bandwidth in weak grids, often leading to sub-synchronous oscillations, whereas GFM inverters provide autonomous frequency support and maintain stability at SCR as low as 1.2. The analytical models are validated through time-domain electromagnetic transient (EMT) simulations, offering a definitive performance benchmark for the 2026 grid architecture.
Grid-forming (GFM), grid-following (GFL), small-signal stability, weak grids, Short Circuit Ratio (SCR), eigenvalue analysis, Virtual Synchronous Machine (VSM).
Ravi Solanki, Naresh Sapate, Gurucharan Mashram, & Preeti Rinhayat. (2026). Small-Signal Stability Analysis and Dynamic Performance Assessment of Grid-Following and Grid-Forming Inverters in Weak AC Power Systems. International Research Journal of Innovations in Engineering and Technology - IRJIET, 10(5), 796-798.
This work is licensed under Creative common Attribution Non Commercial 4.0 Internation Licence
L. Harnefors et al., “Input-admittance modeling and control of gridconnected VSC-HVDC systems,” IEEE Trans. Power Electron., 2007.
Q. C. Zhong and G. Weiss, “Synchronverters: Inverters that emulate synchronous generators,” IEEE Trans. Ind. Electron., 2011.
IEEE Task Force, “Definition and classification of power system stability— revisited,” IEEE Trans. Power Syst., 2021.
J. Matevosyan et al., “Grid-Forming Inverters: A Review,” IEEE Access, 2024.
X. Wang and F. Blaabjerg, “Harmonic Stability in Power Electronic Systems,” IEEE Trans. Smart Grid, 2019.
R. Lasseter et al., “Grid-Forming Inverters: A Roadmap,” NREL Report, 2024.
A. Singh et al., “Stability taxonomy in renewable-dominated grids,” IEEE Trans. Power Syst., 2024.
N. Mohammed et al., “Grid-forming inverters: A comparative study,” IEEE ITeN, 2025.
A. Assery et al., “Stability boundaries of GFL inverters,” Front. Energy Res., 2023.
N. Pogaku et al., “Inverter-based microgrids: Small-signal modeling,” IEEE Trans. Power Electron., 2007.
J. Sun, “Impedance-based stability analysis,” IEEE Trans. Ind. Electron., 2011.
J. M. Guerrero et al., “Hierarchical control of microgrids,” IEEE Trans. Ind. Electron., 2011.
Milad et al., “Small-signal synchronization stability,” Monash Repository, 2021.
M. Njoka et al., “Erosion of stability margins,” Front. Energy Res., 2025.
K. Rudnik et al., “Small-signal stability of weak grids,” IEEE PES GM, 2022.
A. Mirmohammad, “Comparative root-locus shifts,” IEEE Trans. Smart Grid, 2024.
S. Gajare et al., “Resonance robustness of GFM vs GFL,” Front. Energy Res., 2025.
S. R. Arya and D. P. Mishra, “Wavelet entropy for HVDC systems,” Arabian J. Sci. Eng., 2026.
A. Sharma et al., “MT-HVDC systems stability: A review,” Appl. Sci., 2026.
D. P. Mishra et al., “Fault-location method for HVDC,” IEEE Systems J., 2025.
S. S. Rao et al., “Enhancing IBR stability using Bayesian optimization,” Sci. Rep., 2024.
NERC, “Grid-forming functional specifications,” NERC Guideline, 2023.
WECC, “Grid-forming inverters study overview,” WECC Report, 2023.
NREL, “Research roadmap on grid-forming inverters,” 2021.
CIGRE TB 972, “Impact of offshore wind hybrid connections,” 2024.
CIGRE TB 981, “Black start restoration with VSC-HVDC,” 2026.
CIGRE TB 982, “Condition monitoring of HVDC stations,” 2026.
CIGRE TB 958, “Guidelines for EMT models,” 2025.
L. Harnefors, “Sequence impedance modeling of dVOC,” Energies, 2026.
J. M. Guerrero, “Rotated-droop control for stability,” ResearchGate, 2026.
Q. C. Zhong, “VSG control for matrix converters,” IEEE Access, 2024.
M. Abedi, “Cyber resilience of inverter microgrids,” KAUST, 2025.
J. Liao, “Bipolar HVDC fault identification,” Int. J. Circ. Theor., 2025.
Y. Tao, “Fault location for metallic return HVDC,” IEEE Trans. Instrum., 2025.
Y. Zhang, “Hybrid CNN-transformer for HVDC,” IEEE Access, 2025.
X. Pei, “Fault location for HVAC offshore wind,” Measurement, 2026.
A. E. B. Abu-Elanien, “Decision tree for MTDC grids,” IEEE Trans. Power Del., 2026.
A. M. Hamada, “Adaptive neuro-fuzzy for HVDC,” PLoS One, 2026.
P. Kundur, Power System Stability and Control, 1994.
C. E. Shannon, “A mathematical theory of communication,” BSTJ, 1948.
M. Belkhayat, “Stability of AC/DC systems,” Purdue Diss., 1997.