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Title: Real-time multi-stability risk assessment and visualization of power systems : a graph neural network-based method
Authors: Chen, Q 
Bu, S 
Wang, H
Lei, C 
Issue Date: Jul-2025
Source: IEEE transactions on power systems, July 2025, v. 40, no. 4, p. 2955-2968
Abstract: Multi-stability risk assessment (MSRA) is more practical than singular stability risk assessment in power system operation considering increasing uncertainties, e.g., renewable power generation and system faults. In this paper, a real-time MSRA method based on a graph neural network (GNN) is proposed to effectively address multiple stability problems, including (small-disturbance and transient) rotor angle, (short-term and long-term) voltage, frequency, and converter-driven stability. An operating graph and a disturbance graph are developed as input features of GNN to completely characterize complex operating conditions and disturbances. In the GNN, the topology correlations in the inputs can be learned by graph convolutional layers via initial residual identity mapping, resulting in informative high-order features for MSRA. A GraphNorm method is employed in the GNN to tackle over-smoothing problems and improve generalizability effectively. Then, based on real-time data, the risks of the multiple types of stability can be simultaneously and continuously predicted by the GNN, and the stable and unstable operation regions (SURs) can be visualized based on alpha shapes. The effectiveness of the proposed method is verified in the IEEE 39-bus system, the 179-bus western electricity coordinating council (WECC) system, and the Great Britain (GB) system. The comparison results of SURs associated with multi-stability are demonstrated and discussed to prioritize major types of stability problems.
Keywords: Graph neural network
Multi-stability
Renewable power generation
Stability risk
Uncertainty
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on power systems 
ISSN: 0885-8950
EISSN: 1558-0679
DOI: 10.1109/TPWRS.2024.3524406
Rights: © 2024 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
The following publication Q. Chen, S. Bu, H. Wang and C. Lei, 'Real-Time Multi-Stability Risk Assessment and Visualization of Power Systems: A Graph Neural Network-Based Method,' in IEEE Transactions on Power Systems, vol. 40, no. 4, pp. 2955-2968, July 2025 is available at https://doi.org/10.1109/TPWRS.2024.3524406.
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