An Optimization Method for the Data-Driven Transient Voltage Stability Assessment Model Integrating Critical Node Information
Miao Yefeng1, Huang Dong2, Wang Huaiyuan1
1. Key Laboratory of New Energy Generation and Power Conversion Fuzhou University Fuzhou 350108 China; 2. Fujian Special Equipment Inspection and Research Institute Fuzhou 350008 China
Abstract:A new approach for power system transient voltage stability assessment (TVSA) is offered by deep learning models, yet challenges persist in two key aspects: the interpretability of assessment results (e.g., how critical node characteristics are identified by the model) and the controllability of the decision-making process (e.g., how assessment logic for specific instability modes is adjusted). The mechanism by which the model focuses on critical nodes struggles to be revealed by traditional methods; moreover, when assessment rules for specific instability modes are optimized, the assessment logic of other modes tends to be disrupted by them, resulting in insufficient model reliability in complex power grid scenarios. To improve the interpretability and controllability of TVSA models, an optimized training method integrating critical node information is proposed in this paper, which consists of three core steps: First, a TVSA model based on a Transformer encoder is constructed. Spatiotemporal features of bus node voltage phase angle sequences are learned by this model via a self-attention mechanism, and the model's critical node assessment rules are visualized using attention weights. Second, the fault-induced delayed voltage recovery index (FDVRI) is introduced. Based on the dynamic recovery characteristics of node voltages within 0~4 cycles after fault clearance, critical node sets for each training sample are labeled to clarify the core feature carrier of the instability mode. Third, a loss function incorporating an attention guidance term and an attention retention term is designed. Critical nodes of the target instability mode are forced to be focused on by the guidance term through weight constraints, thereby correcting the model's assessment rules; the stability of attention distribution for non-target modes is maintained by the retention term, avoiding interference of the optimization process on global assessment logic. Validations are conducted on the IEEE 39-node system and the Northwest China Power Grid. Results show that the model's attention mechanism toward critical nodes is clearly revealed by attention visualization, and the influence of critical nodes on assessment decisions is directly reflected by their attention weights. Dominant instability features are accurately mined by the model during training through the loss function integrating critical node information: while the assessment ability for specific instability modes is optimized, the physical consistency of the model's overall assessment logic is ensured. After a specific instability mode is optimized using the proposed method, the accuracy of samples for this mode is increased by 8.72%, with no impact on the assessment of other instability samples. The interpretability and controllability of TVSA models are enhanced by this optimized method through the introduction of critical node labeling and a dual-constraint loss function, providing an intuitive basis for operators to understand assessment logic. It is confirmed by validations on both standard systems and actual power grids that instability mode features are effectively captured by the method, offering an interpretable and controllable new path for power system TVSA.
缪业丰, 黄栋, 王怀远. 融合关键节点信息的数据驱动暂态电压稳定性评估模型优化方法[J]. 电工技术学报, 2026, 41(15): 5090-5102.
Miao Yefeng, Huang Dong, Wang Huaiyuan. An Optimization Method for the Data-Driven Transient Voltage Stability Assessment Model Integrating Critical Node Information. Transactions of China Electrotechnical Society, 2026, 41(15): 5090-5102.
[1] Liu Yang, Sun Kai, Yao Rui, et al.Power system time domain simulation using a differential transformation method[J]. IEEE Transactions on Power Systems, 2019, 34(5): 3739-3748. [2] 王长江, 姜涛, 陈厚合, 等. 基于相位校正李雅普诺夫指数的电力系统暂态电压稳定评估[J]. 电工技术学报, 2021, 36(15): 3221-3236. Wang Changjiang, Jiang Tao, Chen Houhe, et al.Transient voltage stability assessment of power systems based on phase correction maximum Lyapunov exponent[J]. Transactions of China Electrotechnical Society, 2021, 36(15): 3221-3236. [3] 王长江, 尹浩帆, 姜涛, 等. 计及切换补偿的新能源电力系统暂态电压稳定评估[J]. 电工技术学报, 2025, 40(17): 5487-5500. Wang Changjiang, Yin Haofan, Jiang Tao, et al.Transient voltage stability assessment approach for renewable energy power system considering switching compensation[J]. Transactions of China Electrotechnical Society, 2025, 40(17): 5487-5500. [4] 陈厚合, 张赫, 王长江, 等. 基于卷积神经网络的直流送端系统暂态过电压估算方法[J]. 电网技术, 2020, 44(8): 2987-2999. Chen Houhe, Zhang He, Wang Changjiang, et al.A method estimating transient overvoltage of HVDC sending-end system based on convolutional neural network[J]. Power System Technology, 2020, 44(8): 2987-2999. [5] Yang Hao, Zhang Wen, Chen Jian, et al.PMU-based voltage stability prediction using least square support vector machine with online learning[J]. Electric Power Systems Research, 2018, 160: 234-242. [6] 甄永赞, 阮程. 基于代价敏感支持向量机和多变量决策树的分级自适应暂态电压稳定评估[J]. 电网技术, 2024, 48(2): 778-791. Zhen Yongzan, Ruan Cheng.Hierarchical self-adaptation transient voltage stability assessment based on cost-sensitive SVM and multivariate decision tree[J]. Power System Technology, 2024, 48(2): 778-791. [7] 朱利鹏, 陆超, 孙元章, 等. 基于数据挖掘的区域暂态电压稳定评估[J]. 电网技术, 2015, 39(4): 1026-1032. Zhu Lipeng, Lu Chao, Sun Yuanzhang, et al.Data mining based regional transient voltage stability assessment[J]. Power System Technology, 2015, 39(4): 1026-1032. [8] Zhu Lipeng, Lu Chao, Sun Yuanzhang.Time series shapelet classification based online short-term voltage stability assessment[J]. IEEE Transactions on Power Systems, 2016, 31(2): 1430-1439. [9] 季佳伸, 吴俊勇, 王彦博, 等. 基于深度残差网络的电力系统暂态电压稳定评估[J]. 电网技术, 2022, 46(7): 2500-2511. Ji Jiashen, Wu Junyong, Wang Yanbo, et al.Power system transient voltage stability assessment based on deep residual network[J]. Power System Technology, 2022, 46(7): 2500-2511. [10] 卢锦玲, 郭鲁豫. 基于改进深度残差收缩网络的电力系统暂态稳定评估[J]. 电工技术学报, 2021, 36(11): 2233-2244. Lu Jinling, Guo Luyu.Power system transient stability assessment based on improved deep residual shrinkage network[J]. Transactions of China Electrotechnical Society, 2021, 36(11): 2233-2244. [11] Wang Ying, Lu Chao, Zhang Xinran.Convolution neural network-based load model parameter selection considering short-term voltage stability[J]. CSEE Journal of Power and Energy Systems, 2024, 10(3): 1064-1074. [12] 朱林, 张健, 陈达, 等. 面向暂态电压稳定评估的卷积神经网络输入特征构建方法[J]. 电力系统自动化, 2022, 46(1): 85-93. Zhu Lin, Zhang Jian, Chen Da, et al.Construction method for input features of convolutional neural network for transient voltage stability assessment[J]. Automation of Electric Power Systems, 2022, 46(1): 85-93. [13] Seyedi Y, Karimi H, Mahseredjian J.A data-driven method for prediction of post-fault voltage stability in hybrid AC/DC microgrids[J]. IEEE Transactions on Power Systems, 2022, 37(5): 3758-3768. [14] 姜涛, 董雨, 王长江, 等. 基于图卷积和双向长短期记忆网络的受端电力系统暂态电压稳定评估[J]. 电网技术, 2023, 47(12): 4937-4951. Jiang Tao, Dong Yu, Wang Changjiang, et al.Transient voltage stability assessment of receiving-end power system based on graph convolution and bidirectional long/short-term memory networks[J]. Power System Technology, 2023, 47(12): 4937-4951. [15] 百度. AI-人机交互趋势研究[R]. 北京: 百度人工智能交互设计院(AIID), 2019. [16] 孙宏斌, 黄天恩, 郭庆来, 等. 面向调度决策的智能机器调度员研制与应用[J]. 电网技术, 2020, 44(1): 1-8. Sun Hongbin, Huang Tian'en, Guo Qinglai, et al.Automatic operator for decision-making in dispatch: research and applications[J]. Power System Technology, 2020, 44(1): 1-8. [17] 蒲天骄, 乔骥, 赵紫璇, 等. 面向电力系统智能分析的机器学习可解释性方法研究(一): 基本概念与框架[J]. 中国电机工程学报, 2023, 43(18): 7010-7030. Pu Tianjiao, Qiao Ji, Zhao Zixuan, et al.Research on interpretable methods of machine learning applied in intelligent analysis of power system (part Ⅰ): basic concept and framework[J]. Proceedings of the CSEE, 2023, 43(18): 7010-7030. [18] 胡润滋, 马晓忱, 孙博, 等. 基于特征选择的暂态安全评估方法及其可解释性研究[J]. 电网技术, 2023, 47(2): 755-763. Hu Runzi, Ma Xiaochen, Sun Bo, et al.Transient safety assessment and its interpretability based on feature selection[J]. Power System Technology, 2023, 47(2): 755-763. [19] 甄永赞, 阮程. 基于强化学习的混合元启发式暂态电压稳定特征选择方法及可解释性研究[J]. 电网技术, 2024, 48(4): 1519-1532. Zhen Yongzan, Ruan Cheng.Reinforcement learning-based hybrid element heuristic transient voltage stability feature selection and its interpretability[J]. Power System Technology, 2024, 48(4): 1519-1532. [20] 周挺, 杨军, 詹祥澎, 等. 一种数据驱动的暂态电压稳定评估方法及其可解释性研究[J]. 电网技术, 2021, 45(11): 4416-4425. Zhou Ting, Yang Jun, Zhan Xiangpeng, et al.Data-driven method and interpretability analysis for transient voltage stability assessment[J]. Power System Technology, 2021, 45(11): 4416-4425. [21] 朱利鹏, 陆超, 黄河, 等. 基于广域时序数据挖掘策略的暂态电压稳定评估[J]. 电网技术, 2016, 40(1): 180-185. Zhu Lipeng, Lu Chao, Huang He, et al.Wide-area time series data mining based transient voltage stability assessment[J]. Power System Technology, 2016, 40(1): 180-185. [22] 朱利鹏, 陆超, 黄河, 等. 基于时序轨迹特征学习的暂态电压稳定评估[J]. 电网技术, 2019, 43(6): 1922-1931. Zhu Lipeng, Lu Chao, Huang He, et al.Transient voltage stability assessment based on sequential trajectory feature learning[J]. Power System Technology, 2019, 43(6): 1922-1931. [23] 房佳姝, 刘崇茹, 苏晨博, 等. 基于自注意力Transformer编码器的多阶段电力系统暂态稳定评估方法[J]. 中国电机工程学报, 2023, 43(15): 5745-5759. Fang Jiashu, Liu Chongru, Su Chenbo, et al.Multi-stage transient stability assessment of power system based on self-attention transformer encoder[J]. Proceedings of the CSEE, 2023, 43(15): 5745-5759. [24] Chen Qifan, Lin Nan, Bu Siqi, et al.Interpretable time-adaptive transient stability assessment based on dual-stage attention mechanism[J]. IEEE Transactions on Power Systems, 2023, 38(3): 2776-2790. [25] 高发骏, 王怀远, 党然. 基于Transformer的暂态稳定评估模型的可解释性分析与模型更新研究[J]. 电力系统保护与控制, 2023, 51(17): 15-25. Gao Fajun, Wang Huaiyuan, Dang Ran.Interpretability analysis and model update research of a transient stability assessment model based on Transformer[J]. Power System Protection and Control, 2023, 51(17): 15-25. [26] 任顺鑫, 王怀远, 李剑, 等. 主导模式引导的电力系统暂态稳定数据驱动评估方法[J]. 中国电机工程学报, 2025, 45(14): 5589-5601. Ren Shunxin, Wang Huaiyuan, Li Jian, et al.Data-driven method for transient stability assessment of power system guided by dominant pattern[J]. Proceedings of the CSEE, 2025, 45(14): 5589-5601. [27] Li Qiaoqiao, Xu Yan, Ren Chao.A hierarchical data-driven method for event-based load shedding against fault-induced delayed voltage recovery in power systems[J]. IEEE Transactions on Industrial Informatics, 2021, 17(1): 699-709. [28] Dong Yipeng, Xie Xiaorong, Zhou Baorong, et al.An integrated high side var-voltage control strategy to improve short-term voltage stability of receiving-end power systems[C]//2016 IEEE Power and Energy Society General Meeting (PESGM), Boston, MA, USA, 2016: 1. [29] 杨金洲, 李业成, 熊鸿韬, 等. 新能源接入的受端电网暂态电压失稳高风险故障快速筛选[J]. 电工技术学报, 2024, 39(21): 6746-6758. Yang Jinzhou, Li Yecheng, Xiong Hongtao, et al.A fast screening method for the high-risk faults with transient voltage instability in receiving-end power grids interconnected with new energy[J]. Transactions of China Electrotechnical Society, 2024, 39(21): 6746-6758. [30] GB/T 40581—2021电力系统安全稳定计算规范[S]. [31] Zhu Lipeng, Hill D J, Lu Chao.Intelligent short-term voltage stability assessment via spatial attention rectified RNN learning[J]. IEEE Transactions on Industrial Informatics, 2021, 17(10): 7005-7016. [32] Wang Huaiyuan, Wang Qingyin.Adaptive cost-sensitive assignment method for power system transient stability assessment[J]. International Journal of Electrical Power & Energy Systems, 2022, 135: 107574.