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A Novel Framework for Converter-Driven Stability Assessment in Large-Scale Power Systems

Oriol Cartiel, Luis Sainz, Juan José Mesas

Department of Electrical Engineering (DEE)
Escola Tècnica Superior d’Enginyeria Industrial de Barcelona (ETSEIB)
Universitat Politècnica de Catalunya - BarcelonaTech (UPC)

 

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2026-06-27

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Abstract

This paper presents a unified framework forconverter-driven stability assessment in large-scale power systems. The approach builds on two resonance mode analysis-based criteria: the Lanczos-based positive-mode-damping (L_PMD) and the Arnoldi-based smallest eigenvalue logarithmic derivative (A_SELD). Both methods estimate the smallest eigenvalues of the nodal admittance matrix across a frequency range using sparse techniques, thus enabling efficient identification of oscillatory modes. Their theoretical relationship with state-space eigenvalues is clarified, and their respective strengths and limitations are systematically analysed. Based on this, a combined application strategy is proposed, where L_PMD provides robust oscillatory mode detection and participation factors, while A_SELD enables accurate damping estimation. In addition, parallel computation is implemented to enhance scalability, achieving significant reductions in computational time in large-scale systems. The framework is validated on IEEE and synthetic test power systems, demonstrating accurate stability assessment and substantial improvements in efficiency compared to conventional approaches.

Key words: Large-scale power system, Parallel computation, Positive-mode-damping, Resonance mode analysis, Smallest eigenvalue logarithmic derivative, Stability assessment.

Published in: Renewable Energies, Environment & Power Quality Journal (REE&PQJ)
ISSUE: Vol. 26. No.1 Pages: 22-26
E-ISSN: 3020-531 X Date of Current Version: 2026-06-27
REF: 210-26 Issue Date: 2026-07-15
DOI:10.24084/reepqj26-210 Publisher: AEDERMACP/ EA4EPQ

References

[1] N. Hatziargyriou et al., “Definition and Classification of Power System Stability – Revisited & Extended,” in IEEE Transactions on Power Systems, vol. 36, no. 4, pp. 3271-3281, July 2021.

[2] L. Orellana, L. Sainz, E. Prieto-Araujo and O. Gomis-Bellmunt, “Stability Assessment for Multi-Infeed Grid-Connected VSCs Modeled in the Admittance Matrix Form,” in IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 68, no. 9, pp. 3758-3771, Sept. 2021.

[3] L. Wang, X. Xie, W. Dong, Y. Mei and A. Lei, “Smallest Eigenvalues Based Logarithmic Derivative Method for Computing Dominant Oscillation Modes in Large-Scale Power Systems,” in Journal of Modern Power Systems and Clean Energy, vol. 13, no. 3, pp. 747-756, May 2025.

[4] O. Cartiel, L. Sainz, J. J. Mesas and Ll. Monjo, “A Damping Margin Indicator for Compensator Design by the Positive-Mode-Damping Stability Criterion,” in IEEE Transactions on Power Systems, vol. 40, no. 4, pp. 3173-3184, July 2025.

[5] O. Cartiel, J. J. Mesas and L. Sainz, “Efficient Resonance Mode Analysis-Based Methodology for Resonance Studies in Multi-Terminal Transmission Grids,” in IEEE Transactions on Power Delivery, vol. 40, no. 1, pp. 287-300, Feb. 2025.

[6] L. Wang, X. Xie, J. Shair and Y. Zhan, “Logarithmic derivative based quantitative analysis of oscillatory stability in renewable powered systems,” in CSEE Journal of Power and Energy Systems.

 
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