基于受扰后平衡点延拓的在线暂态稳定控制策略受扰后平衡点计算

——受扰后平衡点计算

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关键词：电力系统；受扰后平衡点；暂态稳定；同伦法

中图分类号：TM712文献标志码：A

DOI：10.7652/xjtuxb202509002 文章编号：0253-987X（2025）09-0011-12

An Online Transient Stability Control Strategy Based on Post-Disturbance Equilibrium Point Continuation： Calculation of Post-Disturbance Equilibrium Points

LI Chongtao1，ZHANG Jianxin²，HE Jingjie¹，LIU Yuming 3 LI Shiyang³，GAO Qin²，DUAN Chao1 （1. School of Electrical Engineering，Xi'an Jiaotong University，Xi'an 7loo49，China; 2.Power Dispatching and Control Center，China Southern Power Grid，Guangzhou 51O663，China; 3.Electric Power Research Institute，China Southern Power Grid，Guangzhou 5lo663，China）

Abstract：To address the limitations of traditional power flow models in calculating post-disturbance equilibrium points in power systems，a method for calculating post-disturbance system equilibrium points that accounts for the steady-state operating characteristics of dynamic components is proposed. First，from the perspective of algebraic equations，an analytical model for post-disturbance equilibrium points is constructed， incorporating power sources，loads，and the network. Subsequently， based on the homotopy method，an efficient solution procedure for post-disturbance system equilibrium points is presented，resolving the convergence challenges of the Newton method under severe disturbances. Finally，the proposed method is validated using the IEEE 39-bus standard test case and a provincial real-world grid case. The results demonstrate that the developed model is applicable to dynamic components， including renewable energy sources， exhibiting strong generality. The proposed calculation method yields results fully consistent with transient simulation outcomes while reducing convergence time by over 95% . Compared to traditional power flow methods，its accuracy is improved by at least three orders of magnitude， providing an efficient analytical tool for rapid online stability assessment of post-disturbance systems.

Keywords： power system; post-fault equilibrium point; transient stability; homotopy method

在电力系统运行过程中，可能会受到各种扰动，如负荷变化、线路切除、新能源出力波动等。（剩余16899字）