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Towards a novel framework for power system stability: introducing system rigidity

I. Vokony, I. Taczi, B. Hartmann


Department of Electric Power Engineering. Budapest University of Technology and Economics. Egry Jozsef 18. Budapest - Hungary

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2025-07-25

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Abstract

The transition from centralized synchronous generation to distributed renewable resources has introduced significant challenges for power system stability. Conventional stability metrics and methods, rooted in high-inertia systems,
struggle to address the fast dynamics and control complexity of low-inertia grids. This paper proposes system rigidity as a new holistic stability metric, defined as the capacity of a power system to resist destabilizing forces (e.g. frequency fluctuations, voltage deviations, phase angle disturbances) within acceptable limits under varying conditions. We develop a theoretical framework for system rigidity, including a Rigidity Response Threshold (RRT) that quantifies the maximum disturbance a system can withstand without losing stability. The novelty of this approach lies in unifying transient, frequency, and voltage stability considerations into a single metric and extending classical Lyapunov-based stability analysis to modern low-inertia systems. The concept is supported by enhanced simulation techniques (combining electromechanical and electromagnetic transient analysis) and experimental validation on a microgrid test site. Main results demonstrate that system rigidity correlates with known stability margins and provides a more sensitive indicator for low-inertia scenarios than traditional inertia-based metrics. The experimental plans at the Fót test site will further validate these findings under real-world conditions. Conclusions: The introduction of system rigidity offers system operators a new tool to evaluate and enhance stability in renewable-dominated grids, guiding the integration of synthetic inertia, fast frequency response, and advanced control strategies to ensure reliable and resilient future power systems.

Key words: Power system stability; low-inertia grids; synthetic inertia; system rigidity; renewable energy integration

Published in: Energies & Quality Journal (E&QJ)
ISSUE: Vol. 3. No.1 Pages: 56-61
E-ISSN: 2659-8779 Date of Current Version: 2025-06-25
REF: 296-25 Issue Date: 2025-07-25
DOI:10.24084/eqj25-296 Publisher: AEDERMACP/ EA4EPQ

References

[1] I. Táczi and I. Vokony, “Review of Stability Analysis in Power Systems with High Penetration of Non-Synchronous
Generation,” Renew. Energy Power Qual. J., vol. 20, pp. 694–699, Sep. 2022. DOI: 10.24084/repqj20.402.

[2] M. M. N. Rezkalla, M. G. Pertl, and M. Marinelli, “Electric power system inertia: requirements, challenges and solutions,”
Electrical Engineering, vol. 100, no. 4, pp. 2677–2693, Aug. 2018. DOI: 10.1007/s00202-018-0739-z.

[3] ENTSO-E, “Final report on the separation of the Continental Europe power system on 8 January 2021,” Jul. 2021. [Online]. Available: entsoe.eu. (accessed Jan. 2025)

[4] A. Franco-Gómez, E. Gómez-Lázaro, E. Muljadi, and Á. Molina-García, “Power systems with high renewable energy
sources: A review of inertia and frequency control strategies over time,” Renewable & Sustainable Energy Reviews, vol. 115, 2019. DOI: 10.1016/j.rser.2019.109369.

[5] I. Vokony, “Effect of inertia deficit on power system stability – synthetic inertia concepts analysis,” in Proc. 2017 Int. Youth Conf. on Energy (IYCE), Budapest, Hungary, 2017, pp. 1–6. DOI: 10.1109/IYCE.2017.8003725.

[6] H. S. Salama, A. Bakeer, G. Magdy, and I. Vokony, “Virtual inertia emulation through virtual synchronous
generator-based SMES in modern power systems,” Journal of Energy Storage, vol. 44, 103466, Oct. 2021. DOI:
10.1016/j.est.2021.103466.

[7] M. M. Mahmoud, H. S. Salama, M. Bajaj, M. M. Aly, I. Vokony, et al., “Integration of wind systems with SVC and
STATCOM during various events to achieve FRT capability and voltage stability: Towards the reliability of modern power
systems,” Int. Journal of Energy Research, vol. 47, no. 1, 2023. DOI: 10.1002/er.8738.

[8] S. M. Said, H. S. Salama, B. Hartmann, and I. Vokony, “A robust SMES controller strategy for mitigating power and
voltage fluctuations of grid-connected hybrid PV–wind generation systems,” Electrical Engineering, vol. 101, no. 3, pp.
1019–1032, Sep. 2019. DOI: 10.1007/s00202-018-00816-7.

[9] S. K. Yadav and S. T. Nagarajan, “Study on impact of power system inertial stability by renewable energy sources,” in
Proc. 2022 Int. Conf. on Intelligent Controller and Computing for Smart Power (ICICCSP), Hyderabad, India, 2022, pp. 1–6.
DOI: 10.1109/ICICCSP53532.2022.9862342.

[10] F. Milano, F. Dörfler, G. Hug, D. J. Hill, and G. Verbič, “Foundations and challenges of low-inertia systems,” in Proc.
2018 Power Systems Computation Conf. (PSCC), Dublin, Ireland, 2018, pp. 1–25. DOI: 10.23919/PSCC.2018.8450880

[11] (ENTSO-E) European Network of Transmission System Operators, “Grid Incident in South-East Europe on 21 June
2024 – Final Report,” Feb. 2025. [Online]. Available: entsoe.eu (accessed Mar. 2025.

[12] National Grid ESO, “Operating a Low Inertia System: Future of Frequency Control,” Tech. Report, 2020 (UK).
[Online]. Available: nationalgrideso.com.

[13] North American Electric Reliability Corp. (NERC), “Fast Frequency Response Concepts and Bulk Power System
Reliability Needs,” NERC Report, Oct. 2018.

[14] J. Zhong, K. Bhattacharya, C. H. Lo, and Y. Lu, “Inertial response of a wind farm with DFIG turbines using probabilistic
approach,” IEEE Trans. Power Systems, vol. 28, no. 3, pp.3066–3074, Aug. 2013. DOI: 10.1109/TPWRS.2013.2247073.

[15] P. Pourbeik, P. S. Kundur, and C. W. Taylor, “The Anatomy of a Power Grid Blackout – Root Causes and Dynamics of Recent Major Blackouts,” IEEE Power & Energy Magazine, vol. 4, no. 5, pp. 22–29, Sep.-Oct. 2006. DOI:
10.1109/MPAE.2006.1687814.

[16] A. C. Mendes, D. Groiss, J. G. S. da Silva, and D. Retzmann, “Using Synchronous Condensers for Improving Stability in Low Short-Circuit Grids with High Renewables Penetration,” in Proc. 2019 IEEE PES GTD Grand Int. Conf. &
Exposition Asia, 2019, pp. 359–364. DOI: 10.1109/GTDAsia.2019.8715899.

[17] EirGrid and SONI, “Operational Constraints and Inertia Requirements with High RES Penetration – DS3 Programme,”
Dublin, Ireland, Tech. Rep., 2018.

[18] J. Morren, S. W. H. de Haan, W. L. Kling, and J. A. Ferreira, “Wind turbines emulating inertia and supporting
primary frequency control,” IEEE Trans. Power Systems, vol. 21, no. 1, pp. 433–434, Feb. 2006. DOI:
10.1109/TPWRS.2005.861956.

[19] P. Aristidou, D. Fabozzi, and T. Van Cutsem, “Dynamic Simulation of Large-Scale Power Systems Using a Parallel
Schur-Complement-Based Decomposition Method,” IEEE Trans. Parallel and Distributed Systems, vol. 25, no. 10, pp.
2561–2570, Oct. 2014. DOI: 10.1109/TPDS.2013.2297117.

[20] G. L. Guo et al., “Online Dynamic Security Assessment of Power Systems with High PV Penetration Using Deep
Learning,” International Transactions on Electrical Energy Systems, vol. 31, no. 9, e13021, Sep. 2021. DOI: 10.1002/2050-
7038.13021.

 
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