电力系统自动化2025，Vol.49Issue(3)：71-81,11.DOI:10.7500/AEPS20240515004
多时滞风电系统的小信号多连通稳定区域划分
Small-signal Multiply Connected Stability Region Partition for Multi-time-delay Wind Power System
摘要
Abstract
The nonlinear bifurcation phenomenon caused by time delay in power systems containing wind power has an important influence on the system stability.The introduction of time delay may transform the wind power system into the infinite-dimensional power system,causing difficulty in describing the stability region of the system directly with bifurcation theory.Therefore,a stability region partition method based on Lyapunov-Schmidt reduction for time-delay wind power systems is proposed to realize the bifurcation analysis and small-signal stability region partitioning.Firstly,the nonlinear differential-algebraic equation(DAE)model of the system is established,various types of bifurcation points are located based on the extension method,and the small-signal stability region on the parameter plane is divided by this boundary.Secondly,considering the effect of time delay,a modified dynamics model of the wind power system is established.Then,the dimensionality of infinite-dimensional multi-time-delay wind power systems is reduced based on Lyapunov-Schmidt reduction.Then,by solving the finite-dimensional bifurcation map after dimensionality reduction,the distribution of the bifurcation points under the influence of time delay is obtained,and then the small-signal multiply connected stability region in the time-delay space is partitioned.F inally,the accuracy of the stability region partition in the time-delay space is verified by time domain simulation.关键词
风电系统/小信号稳定性/分岔/稳定域划分/时滞/Lyapunov-Schmidt约化Key words
wind power system/small-signal stability/bifurcation/stability region partition/time delay/Lyapunov-Schmidt reduction引用本文复制引用
马晓阳,赵阳俊,梁锦文,肖先勇,万雨恒,汪颖..多时滞风电系统的小信号多连通稳定区域划分[J].电力系统自动化,2025,49(3):71-81,11.基金项目
国家自然科学基金资助项目(52107117). This work is supported by National Natural Science Foundation of China(No.52107117). （52107117）
